Common Core Standard 4.OA.B.4
This standard covers the following:
Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
Problem: Find all factor pairs of 64.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find all factor pairs of 64, we can start by listing all the numbers that divide evenly into 64. 1 * 64 = 64 2 * 32 = 64 4 * 16 = 64 8 * 8 = 64 So, the factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: List all the factor pairs of 18.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 18, we can start by listing all the numbers that divide evenly into 18: 1, 2, 3, 6, 9, 18 Then, we can pair up the numbers to find the factor pairs: (1, 18), (2, 9), (3, 6) So, the factor pairs of 18 are (1, 18), (2, 9), and (3, 6). ### Answer: (1, 18), (2, 9), (3, 6)
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Find all factor pairs of 28.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 28, we can start by listing all the numbers that divide evenly into 28. The factors of 28 are: 1, 2, 4, 7, 14, and 28. Now, we can form pairs of these factors: (1, 28), (2, 14), (4, 7), and (7, 4), (14, 2), and (28, 1). So, the factor pairs of 28 are: (1, 28), (2, 14), (4, 7), and (7, 4), (14, 2), and (28, 1). ### Answer: (1, 28), (2, 14), (4, 7), and (7, 4), (14, 2), and (28, 1).
Expected answer: [(1, 28), (2, 14), (4, 7)]
Correct? Yes
Problem: List all factor pairs of the number 48.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 48, we can start by listing all the numbers that divide evenly into 48. 1 * 48 = 48 2 * 24 = 48 3 * 16 = 48 4 * 12 = 48 6 * 8 = 48 So, the factor pairs of 48 are (1, 48), (2, 24), (3, 16), (4, 12), and (6, 8). ### Answer: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? Yes
Problem: Write down all factor pairs of 7.
DeepSeek 67B:
The factor pairs of 7 are: 1. 1 and 7 2. 7 and 1 These are the only two factor pairs of 7.
Expected answer: [(1, 7)]
Correct? No
Problem: Write down every pair of factors of 98.
DeepSeek 67B:
Reasoning: To find the factors of 98, we need to find all the numbers that divide evenly into 98. We can start by listing the numbers from 1 to 98 and checking which ones divide evenly into 98. Factors of 98: 1, 2, 7, 14, 49, 98 Pairs of factors: (1, 98), (2, 49), (7, 14) ### Answer: (1, 98), (2, 49), (7, 14)
Expected answer: [(1, 98), (2, 49), (7, 14)]
Correct? Yes
Problem: List all the factor pairs of the number 26.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 26, we can start by listing all the numbers that divide evenly into 26. The factors of 26 are: 1, 2, 13, and 26. The factor pairs of 26 are: (1, 26), (2, 13), and (13, 2). ### Answer: (1, 26), (2, 13), and (13, 2)
Expected answer: [(1, 26), (2, 13)]
Correct? Yes
Problem: Write down all factor pairs of 59.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 59, we can start by listing all the numbers that divide evenly into 59. 1 * 59 = 59 59 * 1 = 59 So, the factor pairs of 59 are (1, 59) and (59, 1). ### Answer: (1, 59) and (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: Find out all factor pairs of 20.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 20, we can start by listing all the numbers that divide evenly into 20. 1 * 20 = 20 2 * 10 = 20 4 * 5 = 20 So, the factor pairs of 20 are (1, 20), (2, 10), and (4, 5). ### Answer: (1, 20), (2, 10), (4, 5)
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Write down all factor pairs of 20.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 20, we can start by listing all the numbers that divide evenly into 20: 1, 2, 4, 5, 10, 20 Now, we can pair up the numbers to find the factor pairs: 1 x 20 2 x 10 4 x 5 So, the factor pairs of 20 are (1, 20), (2, 10), and (4, 5). ### Answer: (1, 20), (2, 10), (4, 5)
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Please list down all factor pairs of 13.
DeepSeek 67B:
The factor pairs of 13 are: 1. 1 and 13 There are no other factor pairs for 13 because it is a prime number.
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 81.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find all factor pairs of 81, we can start by listing all the numbers that divide evenly into 81. 81 � 1 = 81 81 � 3 = 27 81 � 9 = 9 81 � 81 = 1 From these divisions, we can see that the factor pairs of 81 are: (1, 81) (3, 27) (9, 9) Answer: The factor pairs of 81 are (1, 81), (3, 27), and (9, 9).
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: List all factor pairs of 76.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 76, we can start by listing all the numbers that divide evenly into 76. The factors of 76 are: 1, 2, 4, 7, 8, 14, 19, 38, 76 Now, we can pair up the factors to find the factor pairs: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) So, the factor pairs of 76 are: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) ### Answer: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: Write down all factor pairs of 50.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 50, we can start by listing all the numbers that divide evenly into 50: 1, 2, 4, 5, 10, 25, 50 Now, we can pair up the numbers to find the factor pairs: (1, 50), (2, 25), (4, 12.5), (5, 10) So, the factor pairs of 50 are (1, 50), (2, 25), (4, 12.5), and (5, 10). ### Answer: (1, 50), (2, 25), (4, 12.5), (5, 10)
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? No
Problem: List all the factor pairs of the number 76.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 76, we can start by listing all the numbers that divide evenly into 76. The factors of 76 are: 1, 2, 4, 7, 8, 14, 19, 38, 76 Now, we can pair up the factors to find the factor pairs: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) So, the factor pairs of 76 are: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) ### Answer: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: List all factor pairs of 56.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 56, we can start by listing all the numbers that divide evenly into 56. 1 * 56 = 56 2 * 28 = 56 4 * 14 = 56 7 * 8 = 56 So, the factor pairs of 56 are (1, 56), (2, 28), (4, 14), and (7, 8). ### Answer: (1, 56), (2, 28), (4, 14), (7, 8)
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 44, we can start by listing all the numbers that divide evenly into 44. 1 * 44 = 44 2 * 22 = 44 4 * 11 = 44 So, the factor pairs of 44 are (1, 44), (2, 22), and (4, 11). ### Answer: (1, 44), (2, 22), (4, 11)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: List all the factor pairs of 5.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. For the number 5, the factor pairs are: 1. (1, 5) ### Answer: (1, 5)
Expected answer: [(1, 5)]
Correct? Yes
Problem: Identify all factor pairs of the number 95.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 95, we can start by listing all the numbers that divide evenly into 95. 1 * 95 = 95 5 * 19 = 95 So, the factor pairs of 95 are (1, 95) and (5, 19). ### Answer: (1, 95), (5, 19)
Expected answer: [(1, 95), (5, 19)]
Correct? Yes
Problem: Please list all the factor pairs of 36.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 36, we can start by listing all the numbers that divide evenly into 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Next, we can pair up the numbers to find the factor pairs: 1 x 36 2 x 18 3 x 12 4 x 9 6 x 6 So, the factor pairs of 36 are: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6). ### Answer: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: Compute all the factor pairs of the number 59.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 59, we can start by listing all the numbers that divide evenly into 59. 1 * 59 = 59 59 * 1 = 59 So, the factor pairs of 59 are (1, 59) and (59, 1). ### Answer: (1, 59) and (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: What are all the factor pairs of 3?
DeepSeek 67B:
Reasoning: The factor pairs of 3 are (1, 3) and (3, 1). ### Answer: (1, 3), (3, 1)
Expected answer: [(1, 3)]
Correct? Yes
Problem: Could you list all factor pairs of 51?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 51, we can start by listing all the numbers that divide evenly into 51. The factors of 51 are: 1, 3, 17, and 51. The factor pairs of 51 are: (1, 51), (3, 17) ### Answer: (1, 51), (3, 17)
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 50.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 50, we can start by listing all the numbers that divide evenly into 50. The factors of 50 are: 1, 2, 5, 10, 25, 50 Now, we can form pairs of these factors: (1, 50), (2, 25), (5, 10) So, the factor pairs of 50 are (1, 50), (2, 25), and (5, 10). ### Answer: (1, 50), (2, 25), (5, 10)
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: Write down all factor pairs of 47.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 47, we can start by listing all the numbers that divide evenly into 47: 1, 47 These are the only two numbers that divide evenly into 47, so they are the only factor pairs of 47. ### Answer: (1, 47)
Expected answer: [(1, 47)]
Correct? Yes
Problem: Write down all factor pairs of 51.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 51, we can start by listing all the numbers that divide evenly into 51. 1 * 51 = 51 3 * 17 = 51 So, the factor pairs of 51 are (1, 51) and (3, 17). ### Answer: (1, 51), (3, 17)
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 60.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 60, we can start by listing all the numbers that divide evenly into 60. Factor pairs of 60: 1 x 60 2 x 30 3 x 20 4 x 15 5 x 12 6 x 10 ### Answer: (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? Yes
Problem: List all factor pairs of 43.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 43, we can start by listing all the numbers that divide evenly into 43. 1 * 43 = 43 Since 43 is a prime number, it only has two factor pairs: (1, 43) and (43, 1). ### Answer: (1, 43) and (43, 1)
Expected answer: [(1, 43)]
Correct? Yes
Problem: List all factor pairs of 70.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 70, we can start by listing all the numbers that divide evenly into 70. Factor pairs of 70: 1 x 70 2 x 35 5 x 14 7 x 10 Answer: The factor pairs of 70 are (1, 70), (2, 35), (5, 14), and (7, 10).
Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]
Correct? Yes
Problem: Please list all the factors of the number 2.
DeepSeek 67B:
The factors of the number 2 are 1 and 2.
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. The factors of 49 are 1, 7, 49. The factor pairs of 49 are (1, 49) and (7, 7). ### Answer: (1, 49), (7, 7)
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all factor pairs of 17.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. In this case, we are looking for factor pairs of 17. 17 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 17 is (1, 17). ### Answer: (1, 17)
Expected answer: [(1, 17)]
Correct? Yes
Problem: Find all the factor pairs of 35.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 35, we can start by listing all the numbers that divide evenly into 35. 1 * 35 = 35 5 * 7 = 35 So, the factor pairs of 35 are (1, 35) and (5, 7). ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Identify all factor pairs of the number 91.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 91, we can start by listing all the numbers that divide evenly into 91. 1 * 91 = 91 7 * 13 = 91 So, the factor pairs of 91 are (1, 91) and (7, 13). ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all factor pairs of the number 97.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 97, we can start by listing all the numbers that divide evenly into 97. 97 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 97 is (1, 97). ### Answer: (1, 97)
Expected answer: [(1, 97)]
Correct? Yes
Problem: What are all the factor pairs of 16?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. The factors of 16 are 1, 2, 4, 8, and 16. The factor pairs of 16 are (1, 16), (2, 8), and (4, 4). ### Answer: (1, 16), (2, 8), and (4, 4)
Expected answer: [(1, 16), (2, 8), (4, 4)]
Correct? Yes
Problem: Find all the factor pairs of the number 21.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 21, we can start by listing the factors of 21 and then pairing them up. Factors of 21: 1, 3, 7, 21 Factor pairs of 21: (1, 21), (3, 7) Answer: The factor pairs of 21 are (1, 21) and (3, 7).
Expected answer: [(1, 21), (3, 7)]
Correct? Yes
Problem: Could you determine all the factor pairs of 72?
DeepSeek 67B:
Reasoning: To find the factor pairs of 72, we need to find all the pairs of numbers that multiply to give 72. Step 1: Find the factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. Step 2: Identify the factor pairs. The factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9). Answer: The factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9).
Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]
Correct? Yes
Problem: Determine all the factor pairs of 38.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 38, we can start by listing all the numbers that divide evenly into 38. 1 * 38 = 38 2 * 19 = 38 So, the factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: List all the factor pairs of 94.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 94, we can start by listing all the numbers that divide evenly into 94. 1 * 94 = 94 2 * 47 = 94 So, the factor pairs of 94 are (1, 94) and (2, 47). ### Answer: (1, 94), (2, 47)
Expected answer: [(1, 94), (2, 47)]
Correct? Yes
Problem: List all factor pairs of 32.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 32, we can start by listing all the numbers that divide evenly into 32. The factors of 32 are: 1, 2, 4, 8, 16, and 32. The factor pairs of 32 are: (1, 32), (2, 16), (4, 8), and (8, 4). ### Answer: (1, 32), (2, 16), (4, 8), and (8, 4)
Expected answer: [(1, 32), (2, 16), (4, 8)]
Correct? Yes
Problem: Identify all factor pairs of the number 33.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 33, we can start by listing all the numbers that divide evenly into 33. 1 * 33 = 33 3 * 11 = 33 So, the factor pairs of 33 are (1, 33) and (3, 11). ### Answer: (1, 33), (3, 11)
Expected answer: [(1, 33), (3, 11)]
Correct? Yes
Problem: Write down all the factor pairs of 59.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 59, we can start by listing all the numbers that divide evenly into 59. 1 * 59 = 59 59 * 1 = 59 So, the factor pairs of 59 are (1, 59) and (59, 1). ### Answer: (1, 59) and (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all the factor pairs of the number 54.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 54, we can start by listing all the factors of 54 and then pairing them up. Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54 Factor pairs of 54: (1, 54), (2, 27), (3, 18), (6, 9) ### Answer: (1, 54), (2, 27), (3, 18), (6, 9)
Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]
Correct? Yes
Problem: Determine all factor pairs of the number 85.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 85, we can start by listing all the numbers that divide evenly into 85. 1 * 85 = 85 5 * 17 = 85 So, the factor pairs of 85 are (1, 85) and (5, 17). ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Identify all the factor pairs of the number 56.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 56, we can start by listing all the numbers that divide evenly into 56. 1 * 56 = 56 2 * 28 = 56 4 * 14 = 56 7 * 8 = 56 So, the factor pairs of 56 are (1, 56), (2, 28), (4, 14), and (7, 8). ### Answer: (1, 56), (2, 28), (4, 14), and (7, 8)
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 24.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 24, we can start by listing all the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Now, we can pair up the factors to get the factor pairs: (1, 24), (2, 12), (3, 8), (4, 6) So, the factor pairs of 24 are (1, 24), (2, 12), (3, 8), and (4, 6). ### Answer: (1, 24), (2, 12), (3, 8), (4, 6)
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: What are all the factor pairs of the number 84?
DeepSeek 67B:
Reasoning: To find the factor pairs of 84, we need to find all the pairs of numbers that multiply together to give 84. We can start by finding the factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Now, we can find the factor pairs by pairing up the factors: (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12) So, the factor pairs of 84 are: (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12) ### Answer: (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)
Expected answer: [(1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)]
Correct? Yes
Problem: Identify all factor pairs of the number 36.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 36, we can start by listing all the numbers that divide evenly into 36. 1 * 36 = 36 2 * 18 = 36 3 * 12 = 36 4 * 9 = 36 6 * 6 = 36 So, the factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6). ### Answer: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all the factor pairs of 85?
DeepSeek 67B:
Reasoning: To find the factor pairs of 85, we need to find all the pairs of numbers that multiply together to give 85. We can start by finding the factors of 85: 1, 5, 17, and 85 Now, we can find the factor pairs by pairing up the factors: (1, 85), (5, 17) So, the factor pairs of 85 are (1, 85) and (5, 17). ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Identify all factor pairs of the number 34.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 34, we can start by listing all the numbers that divide evenly into 34. 1 * 34 = 34 2 * 17 = 34 So, the factor pairs of 34 are (1, 34) and (2, 17). ### Answer: (1, 34) and (2, 17)
Expected answer: [(1, 34), (2, 17)]
Correct? Yes
Problem: Determine all factor pairs of 88.
DeepSeek 67B:
Reasoning: To find the factor pairs of 88, we need to find all the pairs of numbers that multiply together to give 88. We can start by finding the factors of 88 by dividing it by each number from 1 to 88 and checking if the result is a whole number. The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, and 88. Now, we can find the factor pairs by pairing up the factors: 1 * 88 = 88 2 * 44 = 88 4 * 22 = 88 8 * 11 = 88 So, the factor pairs of 88 are: (1, 88), (2, 44), (4, 22), and (8, 11). ### Answer: (1, 88), (2, 44), (4, 22), and (8, 11)
Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]
Correct? Yes
Problem: Write down all factor pairs for the number 83.
DeepSeek 67B:
Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. To find the factor pairs of 83, we can start by listing all the numbers that divide evenly into 83. 83 is a prime number, which means it only has two factors: 1 and itself. Therefore, the only factor pair for 83 is (1, 83). Answer: (1, 83)
Expected answer: [(1, 83)]
Correct? Yes
Problem: What are all the factor pairs of 60?
DeepSeek 67B:
Reasoning: To find the factor pairs of 60, we need to find all the pairs of numbers that multiply together to give 60. Factors of 60: 1, 60 2, 30 3, 20 4, 15 5, 12 6, 10 Answer: The factor pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (6, 10).
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? Yes
Problem: Write down all factor pairs of 58.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 58, we can start by listing all the numbers that divide evenly into 58. 1 * 58 = 58 2 * 29 = 58 So, the factor pairs of 58 are (1, 58) and (2, 29). ### Answer: (1, 58), (2, 29)
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: Please list all of the factor pairs of the number 40.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 40, we can start by listing all the numbers that divide evenly into 40: 1, 2, 4, 5, 8, 10, 20, 40 Now, we can pair up the numbers to find the factor pairs: 1 x 40 2 x 20 4 x 10 5 x 8 So, the factor pairs of 40 are: (1, 40), (2, 20), (4, 10), and (5, 8) ### Answer: (1, 40), (2, 20), (4, 10), and (5, 8)
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 91, we can start by listing all the numbers that divide evenly into 91. 1 * 91 = 91 7 * 13 = 91 So, the factor pairs of 91 are (1, 91) and (7, 13). ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all the factor pairs of 76.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 76, we can start by listing all the numbers that divide evenly into 76. The factors of 76 are: 1, 2, 4, 7, 8, 14, 19, 38, 76 Now, we can pair up the factors to find the factor pairs: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) So, the factor pairs of 76 are: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9) ### Answer: (1, 76), (2, 38), (4, 19), (7, 14), (8, 9)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: What are all the factor pairs of 13?
DeepSeek 67B:
Reasoning: The factor pairs of 13 are (1, 13) because 13 is a prime number. ### Answer: (1, 13)
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 64.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find all factor pairs of 64, we can start by listing all the numbers that divide evenly into 64. 1 * 64 = 64 2 * 32 = 64 4 * 16 = 64 8 * 8 = 64 So, the factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: What are all factor pairs of 8?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. The factor pairs of 8 are (1, 8) and (2, 4). ### Answer: (1, 8), (2, 4)
Expected answer: [(1, 8), (2, 4)]
Correct? Yes
Problem: List all the factor pairs of 80.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 80, we can start by listing all the numbers that divide evenly into 80. Factor pairs of 80: 1 x 80 2 x 40 4 x 20 5 x 16 8 x 10 Answer: The factor pairs of 80 are (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10).
Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]
Correct? Yes
Problem: Calculate all the factor pairs for the number 96.
DeepSeek 67B:
Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. To find the factor pairs of 96, we can start by listing the factors of 96 and then pairing them up. Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 Factor pairs of 96: (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12) Answer: The factor pairs of 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), and (8, 12).
Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]
Correct? Yes
Problem: Calculate all factor pairs of 19.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 19, we can start by listing all the numbers that divide evenly into 19. 19 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 19 is (1, 19). ### Answer: (1, 19)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 37?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 37, we can start by listing all the numbers that divide evenly into 37. The numbers that divide evenly into 37 are 1 and 37, since 1 x 37 = 37. Therefore, the factor pairs of 37 are (1, 37). ### Answer: (1, 37)
Expected answer: [(1, 37)]
Correct? Yes
Problem: Write down all factor pairs of the number 6.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. The factors of 6 are 1, 2, 3, and 6. The factor pairs of 6 are (1, 6), (2, 3), and (6, 1). ### Answer: (1, 6), (2, 3), and (6, 1)
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: List down all the factor pairs of 58.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 58, we can start by listing down all the numbers that divide evenly into 58. Factor pairs of 58: 1 x 58 2 x 29 So, the factor pairs of 58 are (1, 58) and (2, 29).
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: List all the factor pairs of the number 81.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 81, we can start by listing all the numbers that divide evenly into 81. 1 * 81 = 81 3 * 27 = 81 9 * 9 = 81 So, the factor pairs of 81 are (1, 81), (3, 27), and (9, 9). ### Answer: (1, 81), (3, 27), (9, 9)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: Please list all factor pairs of the number 85.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 85, we can start by listing all the numbers that divide evenly into 85. 1 * 85 = 85 5 * 17 = 85 So, the factor pairs of 85 are (1, 85) and (5, 17). ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Write down all factor pairs for the number 93.
DeepSeek 67B:
Reasoning: A factor pair is a pair of numbers that multiply together to give the original number. To find the factor pairs of 93, we can start by listing the factors of 93 and then pairing them up. Factors of 93: 1, 3, 31, 93 Factor pairs of 93: (1, 93), (3, 31) ### Answer: (1, 93), (3, 31)
Expected answer: [(1, 93), (3, 31)]
Correct? Yes
Problem: Identify all factor pairs of 24.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 24, we can start by listing all the numbers that divide evenly into 24. These numbers are 1, 2, 3, 4, 6, 8, 12, and 24. We can then pair these numbers up to find the factor pairs: 1 x 24 2 x 12 3 x 8 4 x 6 So, the factor pairs of 24 are (1, 24), (2, 12), (3, 8), and (4, 6). ### Answer: (1, 24), (2, 12), (3, 8), (4, 6)
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: List all the factor pairs of 97.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 97, we can start by listing all the numbers that divide evenly into 97. 97 is a prime number, which means it only has two factors: 1 and itself. Therefore, the only factor pair of 97 is (1, 97). ### Answer: (1, 97)
Expected answer: [(1, 97)]
Correct? Yes
Problem: Identify all factor pairs of the number 57.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 57, we can start by listing all the numbers that divide evenly into 57. 1 * 57 = 57 3 * 19 = 57 So, the factor pairs of 57 are (1, 57) and (3, 19). ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: List down all the factor pairs of 19.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 19, we can start by listing the factors of 19: 1, 19 Since 19 is a prime number, it only has two factors: 1 and itself. Therefore, the only factor pair of 19 is (1, 19). ### Answer: (1, 19)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 38, we can start by listing all the numbers that divide evenly into 38: 1, 2, 19, 38 Now, we can pair up these numbers to find the factor pairs: (1, 38), (2, 19) So, the factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Find all the factor pairs of the number 6.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 6, we can start by listing all the numbers that divide evenly into 6. The factors of 6 are 1, 2, 3, and 6. Now, we can form pairs of these factors: 1 * 6 = 6 2 * 3 = 6 So, the factor pairs of 6 are (1, 6) and (2, 3). ### Answer: (1, 6), (2, 3)
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: Write down all factor pairs of 17.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 17, we can start by listing all the numbers that divide evenly into 17: 1 * 17 = 17 Since 17 is a prime number, it only has two factor pairs: (1, 17) and (17, 1). ### Answer: (1, 17) and (17, 1)
Expected answer: [(1, 17)]
Correct? Yes
Problem: List all factor pairs of 45.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 45, we can start by listing all the numbers that divide evenly into 45. 1 * 45 = 45 3 * 15 = 45 5 * 9 = 45 So, the factor pairs of 45 are (1, 45), (3, 15), and (5, 9). ### Answer: (1, 45), (3, 15), (5, 9)
Expected answer: [(1, 45), (3, 15), (5, 9)]
Correct? Yes
Problem: Write down all factor pairs of 36.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 36, we can start by listing all the numbers that divide evenly into 36. Factor pairs of 36: 1 x 36 2 x 18 3 x 12 4 x 9 6 x 6 Answer: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all factor pairs of 89?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 89, we can start by listing all the numbers that divide evenly into 89. The numbers that divide evenly into 89 are 1, 89, -1, and -89. So, the factor pairs of 89 are (1, 89) and (-1, -89). ### Answer: (1, 89), (-1, -89)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of 89.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 89, we can start by listing all the numbers that divide evenly into 89. 89 is a prime number, which means it only has two factors: 1 and itself. Therefore, the only factor pair of 89 is (1, 89). ### Answer: (1, 89)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 44, we can start by listing all the numbers that divide evenly into 44. 1 * 44 = 44 2 * 22 = 44 4 * 11 = 44 So, the factor pairs of 44 are (1, 44), (2, 22), and (4, 11). ### Answer: (1, 44), (2, 22), (4, 11)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: Identify all factor pairs of the number 36.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 36, we can start by listing all the numbers that divide evenly into 36. 1 * 36 = 36 2 * 18 = 36 3 * 12 = 36 4 * 9 = 36 6 * 6 = 36 So, the factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6). ### Answer: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: List all possible factor pairs of the number 35.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 35, we can start by listing all the numbers that divide evenly into 35. 1 * 35 = 35 5 * 7 = 35 So, the factor pairs of 35 are (1, 35) and (5, 7). ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Write down all factor pairs of 22.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 22, we can start by listing all the numbers that divide evenly into 22: 1, 2, 11, 22 Then, we can pair up the numbers to get the factor pairs: (1, 22), (2, 11) So, the factor pairs of 22 are (1, 22) and (2, 11). ### Answer: (1, 22), (2, 11)
Expected answer: [(1, 22), (2, 11)]
Correct? Yes
Problem: Find all the factor pairs of 40.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 40, we can start by listing all the numbers that divide evenly into 40. 1 * 40 = 40 2 * 20 = 40 4 * 10 = 40 5 * 8 = 40 So, the factor pairs of 40 are (1, 40), (2, 20), (4, 10), and (5, 8). ### Answer: (1, 40), (2, 20), (4, 10), and (5, 8)
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 64.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 64, we can start by listing all the numbers that divide evenly into 64. 1 * 64 = 64 2 * 32 = 64 4 * 16 = 64 8 * 8 = 64 So, the factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: Determine all factor pairs of 30.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 30, we can start by listing all the numbers that divide evenly into 30. The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30. Now, we can pair up the factors to find the factor pairs: 1 * 30 2 * 15 3 * 10 5 * 6 So, the factor pairs of 30 are (1, 30), (2, 15), (3, 10), and (5, 6). ### Answer: (1, 30), (2, 15), (3, 10), and (5, 6)
Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]
Correct? Yes
Problem: List all factor pairs of 59.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 59, we can start by listing all the numbers that divide evenly into 59. 1 * 59 = 59 59 * 1 = 59 So, the factor pairs of 59 are (1, 59) and (59, 1). ### Answer: (1, 59) and (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all factor pairs of 18.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 18, we can start by listing all the numbers that divide evenly into 18. 18 � 1 = 18 18 � 2 = 9 18 � 3 = 6 18 � 6 = 3 18 � 9 = 2 18 � 18 = 1 From these divisions, we can see that the factor pairs of 18 are: (1, 18) (2, 9) (3, 6) (6, 3) (9, 2) (18, 1) Answer: (1, 18), (2, 9), (3, 6), (6, 3), (9, 2), (18, 1)
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Please list all the factor pairs of 61.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 61, we can start by listing all the numbers that divide evenly into 61. 1 * 61 = 61 So, the factor pairs of 61 are (1, 61). ### Answer: (1, 61)
Expected answer: [(1, 61)]
Correct? Yes
Problem: What are all of the factor pairs of 86?
DeepSeek 67B:
Reasoning: To find the factor pairs of 86, we need to find all the pairs of numbers that multiply together to give 86. We can start by finding the factors of 86: 1, 2, 43, 86 Now, we can find the factor pairs by pairing up the factors: (1, 86), (2, 43) So, the factor pairs of 86 are (1, 86) and (2, 43). ### Answer: (1, 86), (2, 43)
Expected answer: [(1, 86), (2, 43)]
Correct? Yes
Problem: List out all factor pairs of 57.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 57, we can start by listing out all the numbers that divide evenly into 57. 1 * 57 = 57 3 * 19 = 57 So, the factor pairs of 57 are (1, 57) and (3, 19). ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 38, we can start by listing all the numbers that divide evenly into 38: 1, 2, 19, 38 Now, we can pair up these numbers to find the factor pairs: (1, 38), (2, 19) So, the factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Please list all factor pairs of 27.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 27, we can start by listing all the numbers that divide evenly into 27: 1, 27 3, 9 So, the factor pairs of 27 are (1, 27), (3, 9), and (27, 1). ### Answer: (1, 27), (3, 9), (27, 1)
Expected answer: [(1, 27), (3, 9)]
Correct? Yes
Problem: List all the factor pairs of the number 78.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 78, we can start by listing all the numbers that divide evenly into 78. 1 * 78 = 78 2 * 39 = 78 3 * 26 = 78 6 * 13 = 78 So, the factor pairs of 78 are (1, 78), (2, 39), (3, 26), and (6, 13). ### Answer: (1, 78), (2, 39), (3, 26), (6, 13)
Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]
Correct? Yes
Problem: List out all the factor pairs of 23.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 23, we can start by listing all the numbers that divide evenly into 23. The factors of 23 are: 1, 23 So, the factor pairs of 23 are: (1, 23) ### Answer: (1, 23)
Expected answer: [(1, 23)]
Correct? Yes
Problem: List down all the factor pairs of 2.
DeepSeek 67B:
The factor pairs of 2 are: 1. (1, 2)
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
DeepSeek 67B:
Reasoning: A factor pair of a number is a pair of numbers that multiply together to give the original number. To find the factor pairs of 49, we can start by listing all the numbers that divide evenly into 49: 1, 49 7, 7 These are the factor pairs of 49. ### Answer: (1, 49), (7, 7)
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.
DeepSeek 67B:
Reasoning: The factors of 93 are 1, 3, 31, and 93. The distinct pairs of factors are (1, 93), (3, 31), and (3, 31). ### Answer: (1, 93), (3, 31)
Expected answer: [(1, 93), (3, 31)]
Correct? Yes