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.
Llama 3 8B:
To find the factor pairs of 64, we need to find all the numbers that divide 64 exactly without leaving a remainder. The factors of 64 are: 1, 2, 4, 8, 16, 32, and 64. Now, let's find the factor pairs: * 1 and 64 * 2 and 32 * 4 and 16 * 8 and 8 These are all the factor pairs of 64. ### Answer: 1 and 64, 2 and 32, 4 and 16, 8 and 8.
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: List all the factor pairs of 18.
Llama 3 8B:
To find the factor pairs of 18, we need to find the numbers that multiply together to give 18. The factor pairs of 18 are: 1. 1 x 18 = 18 2. 2 x 9 = 18 3. 3 x 6 = 18 These are all the possible factor pairs of 18. ### Answer: 1 x 18, 2 x 9, 3 x 6.
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Find all factor pairs of 28.
Llama 3 8B:
To find the factor pairs of 28, we need to find the numbers that divide 28 exactly without leaving a remainder. The factors of 28 are: 1, 2, 4, 7, 14, and 28. Now, let's find the factor pairs by combining each factor with another factor: * 1 and 28 * 2 and 14 * 4 and 7 These are all the factor pairs of 28. ### Answer: (1, 28), (2, 14), (4, 7)
Expected answer: [(1, 28), (2, 14), (4, 7)]
Correct? Yes
Problem: List all factor pairs of the number 48.
Llama 3 8B:
To find the factor pairs of 48, we need to find the numbers that divide 48 exactly without leaving a remainder. The factor pairs of 48 are: 1. 1 and 48 2. 2 and 24 3. 3 and 16 4. 4 and 12 5. 6 and 8 ### Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? Yes
Problem: Write down all factor pairs of 7.
Llama 3 8B:
The factor pairs of 7 are: (1, 7) (7, 1) Note that 7 is a prime number, which means it can only be divided by 1 and itself. Therefore, the only factor pairs of 7 are the ones listed above. ### Answer: (1, 7), (7, 1)
Expected answer: [(1, 7)]
Correct? Yes
Problem: Write down every pair of factors of 98.
Llama 3 8B:
To find the factors of 98, I'll start by listing the numbers that divide 98 exactly without leaving a remainder. 1. 1 × 98 = 98 2. 2 × 49 = 98 3. 7 × 14 = 98 These are the only pairs of factors of 98.
Expected answer: [(1, 98), (2, 49), (7, 14)]
Correct? No
Problem: List all the factor pairs of the number 26.
Llama 3 8B:
To find the factor pairs of 26, we need to find the numbers that divide 26 exactly without leaving a remainder. The factor pairs of 26 are: 1. 1 and 26 2. 2 and 13 3. 13 and 2 4. 26 and 1 ### Answer: 1, 2, 13, 26
Expected answer: [(1, 26), (2, 13)]
Correct? Yes
Problem: Write down all factor pairs of 59.
Llama 3 8B:
To find the factor pairs of 59, we need to find the numbers that multiply together to give 59. Since 59 is a prime number, it only has two factor pairs: (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.
Llama 3 8B:
To find the factor pairs of 20, we need to find the numbers that divide 20 exactly without leaving a remainder. The factors of 20 are: 1, 2, 4, 5, 10, and 20. Now, let's find the factor pairs by combining each factor with another factor: * 1 and 20 * 2 and 10 * 4 and 5 These are all the factor pairs of 20. ### Answer: 1 and 20, 2 and 10, 4 and 5.
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Write down all factor pairs of 20.
Llama 3 8B:
To find the factor pairs of 20, I'll list all the numbers that divide 20 exactly without leaving a remainder. 1. 1 × 20 = 20 2. 2 × 10 = 20 3. 4 × 5 = 20 These are all the factor pairs of 20.
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? No
Problem: Please list down all factor pairs of 13.
Llama 3 8B:
To find the factor pairs of 13, we need to find the numbers that multiply together to give 13. The only factor pairs of 13 are: * 1 and 13 These are the only two numbers that multiply together to give 13. ### Answer: 1 and 13
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 81.
Llama 3 8B:
To find the factor pairs of 81, we need to find all the numbers that divide 81 exactly without leaving a remainder. 81 = 1 x 81 81 = 3 x 27 81 = 9 x 9 So, the factor pairs of 81 are: (1, 81) (3, 27) (9, 9) ### Answer: (1, 81), (3, 27), (9, 9)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: List all factor pairs of 76.
Llama 3 8B:
To find the factor pairs of 76, we need to find the numbers that multiply together to give 76. 76 = 1 x 76 76 = 2 x 38 76 = 4 x 19 These are the factor pairs of 76. ### Answer: 1 x 76, 2 x 38, 4 x 19
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: Write down all factor pairs of 50.
Llama 3 8B:
To find the factor pairs of 50, we need to find the numbers that multiply together to give 50. Here are the factor pairs of 50: 1. 1 x 50 = 50 2. 2 x 25 = 50 3. 5 x 10 = 50 These are all the possible factor pairs of 50. ### Answer: 1 x 50, 2 x 25, 5 x 10.
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: List all the factor pairs of the number 76.
Llama 3 8B:
To find the factor pairs of 76, we need to find the numbers that divide 76 exactly without leaving a remainder. The factors of 76 are: 1, 2, 4, 19, 38, and 76. Now, let's pair them up: * 1 and 76 * 2 and 38 * 4 and 19 These are all the factor pairs of the number 76. ### Answer: 1 and 76, 2 and 38, 4 and 19.
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: List all factor pairs of 56.
Llama 3 8B:
To find the factor pairs of 56, we need to find the numbers that multiply together to give 56. The factor pairs of 56 are: 1. 1 x 56 = 56 2. 2 x 28 = 56 3. 4 x 14 = 56 4. 7 x 8 = 56 These are all the possible factor pairs of 56. ### Answer: 1 x 56, 2 x 28, 4 x 14, 7 x 8.
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
Llama 3 8B:
To find the factor pairs of 44, we need to find the numbers that multiply together to give 44. The factor pairs of 44 are: 1. 1 x 44 = 44 2. 2 x 22 = 44 3. 4 x 11 = 44 These are all the possible factor pairs of the number 44. ### Answer: 1 x 44, 2 x 22, 4 x 11.
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: List all the factor pairs of 5.
Llama 3 8B:
The factor pairs of 5 are: * 1 x 5 * 5 x 1 These are the only two possible factor pairs for the number 5.
Expected answer: [(1, 5)]
Correct? Yes
Problem: Identify all factor pairs of the number 95.
Llama 3 8B:
To find the factor pairs of 95, we need to find the numbers that divide 95 exactly without leaving a remainder. The factors of 95 are: 1, 5, 19, and 95. Now, let's find the factor pairs: * 1 and 95 (since 1 × 95 = 95) * 5 and 19 (since 5 × 19 = 95) These are all the factor pairs of the number 95. ### Answer: 1 and 95, 5 and 19.
Expected answer: [(1, 95), (5, 19)]
Correct? Yes
Problem: Please list all the factor pairs of 36.
Llama 3 8B:
To find the factor pairs of 36, we need to find the numbers that multiply together to give 36. 36 = 1 x 36 36 = 2 x 18 36 = 3 x 12 36 = 4 x 9 36 = 6 x 6 These are all the factor pairs of 36.
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: Compute all the factor pairs of the number 59.
Llama 3 8B:
Since 59 is a prime number, it only has two factor pairs: 1 and 59. 1 × 59 = 59 There are no other factor pairs for 59 because it is a prime number, meaning it can only be divided by 1 and itself.
Expected answer: [(1, 59)]
Correct? Yes
Problem: What are all the factor pairs of 3?
Llama 3 8B:
A factor pair is a pair of numbers that multiply together to give a product. For the number 3, the only factor pair is: 1 × 3 = 3 In other words, the only numbers that multiply together to give 3 are 1 and 3 itself.
Expected answer: [(1, 3)]
Correct? Yes
Problem: Could you list all factor pairs of 51?
Llama 3 8B:
To find the factor pairs of 51, we need to find the numbers that multiply together to give 51. The factors of 51 are: 1, 3, 17, and 51. The factor pairs of 51 are: * 1 x 51 = 51 * 3 x 17 = 51 Note that there are only two factor pairs for 51, since it is a prime number.
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 50.
Llama 3 8B:
To find the factor pairs of 50, we need to find the numbers that multiply together to give 50. The factor pairs of 50 are: 1. 1 x 50 = 50 2. 2 x 25 = 50 3. 5 x 10 = 50 These are all the possible factor pairs of 50. ### Answer: 1 x 50, 2 x 25, 5 x 10.
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: Write down all factor pairs of 47.
Llama 3 8B:
To find the factor pairs of 47, we need to find the numbers that multiply together to give 47. The only factor pairs of 47 are: 1 × 47 = 47 Since 47 is a prime number, it only has two factors: 1 and itself. ### Answer: 1 × 47 = 47
Expected answer: [(1, 47)]
Correct? Yes
Problem: Write down all factor pairs of 51.
Llama 3 8B:
To find the factor pairs of 51, we need to find the numbers that multiply together to give 51. 51 = 1 x 51 51 = 3 x 17 These are the only two factor pairs of 51. ### Answer: 1 x 51, 3 x 17
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 60.
Llama 3 8B:
To find the factor pairs of 60, we need to find the numbers that divide 60 exactly without leaving a remainder. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Now, let's pair up these factors to get the factor pairs: 1. 1 and 60 2. 2 and 30 3. 3 and 20 4. 4 and 15 5. 5 and 12 6. 6 and 10 These are all the factor pairs of 60.
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? Yes
Problem: List all factor pairs of 43.
Llama 3 8B:
To find the factor pairs of 43, we need to find the numbers that multiply together to give 43. The only factor pairs of 43 are: * 1 and 43 Note that 43 is a prime number, which means it can only be divided by 1 and itself.
Expected answer: [(1, 43)]
Correct? Yes
Problem: List all factor pairs of 70.
Llama 3 8B:
To find the factor pairs of 70, we need to find the numbers that multiply together to give 70. The factors of 70 are: 1, 2, 5, 7, 10, 14, 35, and 70. Now, let's find the factor pairs: * 1 and 70 * 2 and 35 * 5 and 14 * 7 and 10 These are all the factor pairs of 70.
Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]
Correct? Yes
Problem: Please list all the factors of the number 2.
Llama 3 8B:
The factors of the number 2 are: 1, 2 ### Answer: 1, 2
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
Llama 3 8B:
To find the factor pairs of 49, we need to find the numbers that multiply together to give 49. 49 = 1 x 49 49 = 7 x 7 These are the only two factor pairs of 49. ### Answer: 1 x 49, 7 x 7
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all factor pairs of 17.
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. 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: Find all the factor pairs of 35.
Llama 3 8B:
To find the factor pairs of 35, we need to find the numbers that divide 35 exactly without leaving a remainder. 35 = 1 x 35 35 = 5 x 7 So, the factor pairs of 35 are: (1, 35) (5, 7) ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Identify all factor pairs of the number 91.
Llama 3 8B:
To find the factor pairs of 91, we need to find the numbers that divide 91 exactly without leaving a remainder. 91 = 1 x 91 91 = 7 x 13 So, the factor pairs of 91 are: (1, 91) (7, 13) ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all factor pairs of the number 97.
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 97 is a prime number, it only has two factor pairs: (1, 97) and (97, 1). ### Answer: (1, 97) and (97, 1)
Expected answer: [(1, 97)]
Correct? Yes
Problem: What are all the factor pairs of 16?
Llama 3 8B:
To find the factor pairs of 16, we need to find the numbers that multiply together to give 16. The factor pairs of 16 are: 1 × 16 = 16 2 × 8 = 16 4 × 4 = 16 These are all the possible factor pairs of 16. ### Answer: 1 × 16, 2 × 8, 4 × 4.
Expected answer: [(1, 16), (2, 8), (4, 4)]
Correct? Yes
Problem: Find all the factor pairs of the number 21.
Llama 3 8B:
To find the factor pairs of the number 21, we need to find all the numbers that divide 21 exactly without leaving a remainder. The factors of 21 are: 1, 3, 7, and 21. Now, let's find the factor pairs by combining each factor with every other factor: * 1 and 21 (since 1 × 21 = 21) * 3 and 7 (since 3 × 7 = 21) These are all the factor pairs of the number 21. ### Answer: (1, 21), (3, 7)
Expected answer: [(1, 21), (3, 7)]
Correct? Yes
Problem: Could you determine all the factor pairs of 72?
Llama 3 8B:
To find the factor pairs of 72, we need to find the numbers that divide 72 exactly without leaving a remainder. The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. Now, let's find the factor pairs: * 1 and 72 * 2 and 36 * 3 and 24 * 4 and 18 * 6 and 12 These are all the factor pairs of 72.
Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]
Correct? Yes
Problem: Determine all the factor pairs of 38.
Llama 3 8B:
To find the factor pairs of 38, we need to find the numbers that divide 38 exactly without leaving a remainder. The factors of 38 are: 1, 2, 19, and 38. Now, let's find the factor pairs by combining each factor with every other factor: * 1 and 38 (1 × 38 = 38) * 2 and 19 (2 × 19 = 38) These are the only two factor pairs of 38. ### Answer: 1 and 38, 2 and 19.
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: List all the factor pairs of 94.
Llama 3 8B:
To find the factor pairs of 94, we need to find the numbers that multiply together to give 94. 94 = 1 x 94 94 = 2 x 47 94 = 47 x 2 94 = 47 x 1 So, the factor pairs of 94 are: (1, 94) (2, 47) (47, 2) (47, 1) ### Answer: (1, 94), (2, 47), (47, 2), (47, 1).
Expected answer: [(1, 94), (2, 47)]
Correct? Yes
Problem: List all factor pairs of 32.
Llama 3 8B:
To find the factor pairs of 32, we need to find the numbers that divide 32 exactly without leaving a remainder. The factor pairs of 32 are: 1. 1 and 32 2. 2 and 16 3. 4 and 8 These are all the possible factor pairs of 32. ### Answer: 1 and 32, 2 and 16, 4 and 8.
Expected answer: [(1, 32), (2, 16), (4, 8)]
Correct? Yes
Problem: Identify all factor pairs of the number 33.
Llama 3 8B:
To find the factor pairs of 33, we need to find the numbers that divide 33 exactly without leaving a remainder. The factors of 33 are: 1, 3, 11, and 33. The factor pairs of 33 are: * (1, 33) * (3, 11) These are the only two factor pairs of the number 33. ### Answer: (1, 33), (3, 11)
Expected answer: [(1, 33), (3, 11)]
Correct? Yes
Problem: Write down all the factor pairs of 59.
Llama 3 8B:
To find the factor pairs of 59, we need to find the numbers that multiply together to give 59. Since 59 is a prime number, it only has two factor pairs: (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.
Llama 3 8B:
To find the factor pairs of 54, we need to find all the numbers that divide 54 exactly without leaving a remainder. The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, and 54. Now, let's pair up these factors to get the factor pairs: 1. (1, 54) 2. (2, 27) 3. (3, 18) 4. (6, 9) These are all the factor pairs of the number 54. ### 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.
Llama 3 8B:
To find the factor pairs of 85, we need to find all the numbers that divide 85 exactly without leaving a remainder. The factors of 85 are: 1, 5, 17, and 85. Now, let's find the factor pairs by combining each factor with every other factor: * 1 and 85 (1 × 85 = 85) * 5 and 17 (5 × 17 = 85) These are all the factor pairs of 85. ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Identify all the factor pairs of the number 56.
Llama 3 8B:
To find the factor pairs of 56, we need to find the numbers that divide 56 exactly without leaving a remainder. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56. Now, let's find the factor pairs by combining each factor with another factor to get the product of 56: * 1 and 56 = 56 * 2 and 28 = 56 * 4 and 14 = 56 * 7 and 8 = 56 These are all the factor pairs of the number 56. ### Answer: 1 and 56, 2 and 28, 4 and 14, 7 and 8.
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 24.
Llama 3 8B:
To find the factor pairs of the number 24, we need to find the numbers that divide 24 exactly without leaving a remainder. The factor pairs of 24 are: 1. 1 and 24 2. 2 and 12 3. 3 and 8 4. 4 and 6 These are all the possible factor pairs of the number 24.
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: What are all the factor pairs of the number 84?
Llama 3 8B:
To find the factor pairs of 84, we need to find all the numbers that divide 84 exactly without leaving a remainder. 84 = 2 × 42 84 = 3 × 28 84 = 4 × 21 84 = 6 × 14 84 = 7 × 12 84 = 1 × 84 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.
Llama 3 8B:
To find the factor pairs of 36, we need to find the numbers that divide 36 exactly without leaving a remainder. 36 = 1 x 36 36 = 2 x 18 36 = 3 x 12 36 = 4 x 9 36 = 6 x 6 These are all the factor pairs of 36.
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all the factor pairs of 85?
Llama 3 8B:
To find the factor pairs of 85, we need to find the numbers that multiply together to give 85. 85 = 1 × 85 85 = 5 × 17 These are the only two factor pairs of 85. ### Answer: 1 × 85, 5 × 17
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Identify all factor pairs of the number 34.
Llama 3 8B:
To find the factor pairs of 34, we need to find the numbers that divide 34 exactly without leaving a remainder. The factors of 34 are: 1, 2, 17, and 34. Now, let's find the factor pairs by combining each factor with every other factor: * 1 and 34 (1 × 34 = 34) * 2 and 17 (2 × 17 = 34) These are the only two factor pairs of the number 34. ### Answer: (1, 34), (2, 17)
Expected answer: [(1, 34), (2, 17)]
Correct? Yes
Problem: Determine all factor pairs of 88.
Llama 3 8B:
To find the factor pairs of 88, we need to find the numbers that divide 88 exactly without leaving a remainder. 88 = 1 x 88 88 = 2 x 44 88 = 4 x 22 88 = 8 x 11 These are all the factor pairs of 88. ### Answer: 1 x 88, 2 x 44, 4 x 22, 8 x 11.
Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]
Correct? Yes
Problem: Write down all factor pairs for the number 83.
Llama 3 8B:
To find the factor pairs for the number 83, we need to find the numbers that divide 83 exactly without leaving a remainder. The only factor pairs for 83 are: 1 × 83 = 83 83 × 1 = 83 Since 83 is a prime number, it only has two factor pairs: 1 and itself. ### Answer: 1 × 83 = 83, 83 × 1 = 83
Expected answer: [(1, 83)]
Correct? Yes
Problem: What are all the factor pairs of 60?
Llama 3 8B:
To find the factor pairs of 60, we need to find all the numbers that divide 60 exactly without leaving a remainder. The factors of 60 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 30, and 60. Now, let's find the factor pairs by combining each factor with another factor to get 60: * 1 and 60 * 2 and 30 * 3 and 20 * 4 and 15 * 5 and 12 * 6 and 10 These are all the factor pairs of 60.
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? No
Problem: Write down all factor pairs of 58.
Llama 3 8B:
To find the factor pairs of 58, we need to find the numbers that multiply together to give 58. The factor pairs of 58 are: 1. 1 x 58 = 58 2. 2 x 29 = 58 These are the only two factor pairs of 58. ### Answer: 1 x 58, 2 x 29
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: Please list all of the factor pairs of the number 40.
Llama 3 8B:
To find the factor pairs of the number 40, we need to find the numbers that divide 40 exactly without leaving a remainder. The factor pairs of 40 are: 1. 1 and 40 2. 2 and 20 3. 4 and 10 4. 5 and 8 These are all the possible factor pairs of the number 40. ### Answer: 1 and 40, 2 and 20, 4 and 10, 5 and 8.
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
Llama 3 8B:
To find the factor pairs of 91, we need to find the numbers that multiply together to give 91. 91 = 1 x 91 91 = 7 x 13 These are the only two factor pairs of 91. ### Answer: 1 x 91, 7 x 13
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all the factor pairs of 76.
Llama 3 8B:
To find the factor pairs of 76, we need to find the numbers that multiply together to give 76. 76 = 1 x 76 76 = 2 x 38 76 = 4 x 19 These are the only factor pairs of 76. ### Answer: 1 x 76, 2 x 38, 4 x 19
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: What are all the factor pairs of 13?
Llama 3 8B:
To find the factor pairs of 13, we need to find the numbers that multiply together to give 13. The only factor pairs of 13 are: * 1 and 13 These are the only two numbers that multiply together to give 13. ### Answer: 1 and 13
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 64.
Llama 3 8B:
To find the factor pairs of 64, we need to find all the numbers that divide 64 exactly without leaving a remainder. The factors of 64 are: 1, 2, 4, 8, 16, 32, and 64. Now, let's find the factor pairs: * 1 and 64 * 2 and 32 * 4 and 16 * 8 and 8 These are all the factor pairs of 64. ### Answer: 1 and 64, 2 and 32, 4 and 16, 8 and 8.
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: What are all factor pairs of 8?
Llama 3 8B:
To find the factor pairs of 8, we need to find the numbers that multiply together to give 8. The factor pairs of 8 are: * 1 x 8 = 8 * 2 x 4 = 8 These are the only two factor pairs of 8. ### Answer: 1 x 8, 2 x 4.
Expected answer: [(1, 8), (2, 4)]
Correct? Yes
Problem: List all the factor pairs of 80.
Llama 3 8B:
To find the factor pairs of 80, we need to find the numbers that multiply together to give 80. The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Now, let's find the factor pairs: * 1 and 80 * 2 and 40 * 4 and 20 * 5 and 16 * 8 and 10 These are all the factor pairs of 80.
Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]
Correct? Yes
Problem: Calculate all the factor pairs for the number 96.
Llama 3 8B:
To find the factor pairs for the number 96, we need to find all the numbers that divide 96 exactly without leaving a remainder. The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Now, let's find the factor pairs by combining each factor with another factor to get the product equal to 96: 1. 1 × 96 = 96 2. 2 × 48 = 96 3. 3 × 32 = 96 4. 4 × 24 = 96 5. 6 × 16 = 96 6. 8 × 12 = 96 These are all the factor pairs for the number 96. ### Answer: 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.
Llama 3 8B:
To find the factor pairs of 19, we need to find the numbers that divide 19 exactly without leaving a remainder. The only factor pairs of 19 are: * 1 and 19 Since 19 is a prime number, it only has two factors: 1 and itself. ### Answer: 1 and 19
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 37?
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 37 is a prime number, it only has two factor pairs: (1, 37) and (37, 1). ### Answer: (1, 37) and (37, 1)
Expected answer: [(1, 37)]
Correct? Yes
Problem: Write down all factor pairs of the number 6.
Llama 3 8B:
The factor pairs of the number 6 are: 1. 1 x 6 2. 2 x 3 These are all the possible combinations of numbers that multiply together to give 6.
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: List down all the factor pairs of 58.
Llama 3 8B:
To find the factor pairs of 58, we need to find the numbers that multiply together to give 58. The factor pairs of 58 are: 1. 1 x 58 = 58 2. 2 x 29 = 58 These are the only two factor pairs of 58. ### Answer: 1 x 58, 2 x 29
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: List all the factor pairs of the number 81.
Llama 3 8B:
To find the factor pairs of 81, we need to find the numbers that multiply together to give 81. 81 = 1 x 81 81 = 3 x 27 81 = 9 x 9 These are the only factor pairs of 81, since 81 is a perfect square (9^2). ### Answer: 1 x 81, 3 x 27, 9 x 9
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: Please list all factor pairs of the number 85.
Llama 3 8B:
To find the factor pairs of 85, we need to find the numbers that divide 85 exactly without leaving a remainder. The factors of 85 are: 1, 5, 17, and 85. Now, let's find the factor pairs: * 1 and 85 (since 1 x 85 = 85) * 5 and 17 (since 5 x 17 = 85) These are all the factor pairs of the number 85. ### Answer: 1 and 85, 5 and 17.
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Write down all factor pairs for the number 93.
Llama 3 8B:
To find the factor pairs for the number 93, we need to find the numbers that divide 93 exactly without leaving a remainder. 93 = 1 x 93 93 = 3 x 31 These are the only two factor pairs for the number 93. ### Answer: 1 x 93, 3 x 31
Expected answer: [(1, 93), (3, 31)]
Correct? Yes
Problem: Identify all factor pairs of 24.
Llama 3 8B:
To find the factor pairs of 24, we need to find the numbers that multiply together to give 24. The factor pairs of 24 are: 1. 1 and 24 2. 2 and 12 3. 3 and 8 4. 4 and 6 These are all the possible factor pairs of 24. ### Answer: 1 and 24, 2 and 12, 3 and 8, 4 and 6.
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: List all the factor pairs of 97.
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. Since 97 is a prime number, it only has two factor pairs: (1, 97) and (97, 1). ### Answer: (1, 97) and (97, 1)
Expected answer: [(1, 97)]
Correct? Yes
Problem: Identify all factor pairs of the number 57.
Llama 3 8B:
To find the factor pairs of 57, we need to find the numbers that divide 57 exactly without leaving a remainder. The factors of 57 are: 1, 3, 19, and 57. The factor pairs of 57 are: * (1, 57) * (3, 19) These are the only two factor pairs of the number 57. ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: List down all the factor pairs of 19.
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. For 19, the only factor pair is 1 and 19, since 19 is a prime number. 1 × 19 = 19 ### Answer: (1, 19)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Llama 3 8B:
To find the factor pairs of 38, we need to find the numbers that multiply together to give 38. 38 = 1 × 38 38 = 2 × 19 These are the only two factor pairs of 38. ### Answer: 1 × 38, 2 × 19
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Find all the factor pairs of the number 6.
Llama 3 8B:
To find the factor pairs of the number 6, we need to find all the numbers that divide 6 exactly without leaving a remainder. The factors of 6 are: 1, 2, 3, and 6. Now, let's find the factor pairs: * 1 and 6 (since 1 x 6 = 6) * 2 and 3 (since 2 x 3 = 6) These are all the factor pairs of the number 6. ### Answer: 1 and 6, 2 and 3.
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: Write down all factor pairs of 17.
Llama 3 8B:
Reasoning: Factor pairs are pairs of numbers that multiply together to give a product. For 17, the only factor pair is (1, 17) because 1 x 17 = 17. ### Answer: (1, 17)
Expected answer: [(1, 17)]
Correct? Yes
Problem: List all factor pairs of 45.
Llama 3 8B:
To find the factor pairs of 45, we need to find the numbers that multiply together to give 45. The factors of 45 are: 1, 3, 5, 9, 15, and 45. Now, let's find the factor pairs: * 1 and 45 (since 1 x 45 = 45) * 3 and 15 (since 3 x 15 = 45) * 5 and 9 (since 5 x 9 = 45) These are all the factor pairs of 45. ### Answer: 1 and 45, 3 and 15, 5 and 9.
Expected answer: [(1, 45), (3, 15), (5, 9)]
Correct? Yes
Problem: Write down all factor pairs of 36.
Llama 3 8B:
To find the factor pairs of 36, we need to find the numbers that multiply together to give 36. 36 = 1 x 36 36 = 2 x 18 36 = 3 x 12 36 = 4 x 9 36 = 6 x 6 These are all the factor pairs of 36.
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all factor pairs of 89?
Llama 3 8B:
To find the factor pairs of 89, we need to find the numbers that multiply together to give 89. Since 89 is a prime number, it only has two factor pairs: (1, 89) and (89, 1). ### Answer: (1, 89) and (89, 1)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of 89.
Llama 3 8B:
To find the factor pairs of 89, we need to find the numbers that multiply together to give 89. The only factor pair of 89 is: 1 × 89 = 89 Since 89 is a prime number, it only has two factors: 1 and itself.
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
Llama 3 8B:
To find the factor pairs of 44, we need to find the numbers that multiply together to give 44. The factor pairs of 44 are: 1. 1 x 44 = 44 2. 2 x 22 = 44 3. 4 x 11 = 44 These are all the possible factor pairs of the number 44. ### Answer: 1 x 44, 2 x 22, 4 x 11.
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: Identify all factor pairs of the number 36.
Llama 3 8B:
To find the factor pairs of 36, we need to find the numbers that divide 36 exactly without leaving a remainder. 36 = 1 x 36 36 = 2 x 18 36 = 3 x 12 36 = 4 x 9 36 = 6 x 6 These are all the factor pairs of 36.
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: List all possible factor pairs of the number 35.
Llama 3 8B:
To find the factor pairs of 35, we need to find the numbers that divide 35 exactly without leaving a remainder. The factors of 35 are: 1, 5, 7, and 35. Now, let's find the possible factor pairs: * 1 and 35 (since 1 x 35 = 35) * 5 and 7 (since 5 x 7 = 35) These are all the possible factor pairs of the number 35. ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Write down all factor pairs of 22.
Llama 3 8B:
To find the factor pairs of 22, we need to find the numbers that multiply together to give 22. The factor pairs of 22 are: 1. 1 x 22 = 22 2. 2 x 11 = 22 These are the only two factor pairs of 22. ### Answer: 1 x 22 = 22, 2 x 11 = 22
Expected answer: [(1, 22), (2, 11)]
Correct? Yes
Problem: Find all the factor pairs of 40.
Llama 3 8B:
To find the factor pairs of 40, we need to find all the numbers that divide 40 exactly without leaving a remainder. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40. Now, let's find the factor pairs by combining each factor with another factor to get 40: * 1 and 40 * 2 and 20 * 4 and 10 * 5 and 8 These are all the factor pairs of 40. ### Answer: (1, 40), (2, 20), (4, 10), (5, 8).
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 64.
Llama 3 8B:
To find the factor pairs of 64, we need to find all the pairs of numbers that multiply together to give 64. Here are the factor pairs of 64: 1. 1 x 64 = 64 2. 2 x 32 = 64 3. 4 x 16 = 64 4. 8 x 8 = 64 These are all the possible factor pairs of the number 64. ### Answer: 1 x 64, 2 x 32, 4 x 16, 8 x 8.
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: Determine all factor pairs of 30.
Llama 3 8B:
To find the factor pairs of 30, we need to find all the numbers that divide 30 exactly without leaving a remainder. The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30. Now, let's pair up these factors to get the factor pairs: * 1 and 30 * 2 and 15 * 3 and 10 * 5 and 6 These are all the factor pairs of 30. ### Answer: 1 and 30, 2 and 15, 3 and 10, 5 and 6.
Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]
Correct? Yes
Problem: List all factor pairs of 59.
Llama 3 8B:
To find the factor pairs of 59, we need to find the numbers that divide 59 exactly without leaving a remainder. Since 59 is a prime number, it only has two factor pairs: (1, 59) and (59, 1). ### Answer: (1, 59) and (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all factor pairs of 18.
Llama 3 8B:
To find the factor pairs of 18, we need to find the numbers that divide 18 exactly without leaving a remainder. The factors of 18 are: 1, 2, 3, 6, 9, and 18. Now, let's pair them up: * 1 and 18 * 2 and 9 * 3 and 6 These are all the factor pairs of 18.
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Please list all the factor pairs of 61.
Llama 3 8B:
Since 61 is a prime number, it only has two factor pairs: (1, 61) and (61, 1). ### Answer: (1, 61) and (61, 1)
Expected answer: [(1, 61)]
Correct? Yes
Problem: What are all of the factor pairs of 86?
Llama 3 8B:
To find the factor pairs of 86, we need to find the numbers that multiply together to give 86. 86 = 1 × 86 86 = 2 × 43 These are the only two factor pairs of 86. ### Answer: 1 × 86, 2 × 43
Expected answer: [(1, 86), (2, 43)]
Correct? Yes
Problem: List out all factor pairs of 57.
Llama 3 8B:
To find the factor pairs of 57, we need to find the numbers that multiply together to give 57. 57 = 1 x 57 57 = 3 x 19 These are the only two factor pairs of 57. ### Answer: 1 x 57, 3 x 19
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Llama 3 8B:
To find the factor pairs of 38, we need to find the numbers that multiply together to give 38. 38 = 1 × 38 38 = 2 × 19 These are the only two factor pairs of 38. ### Answer: 1 × 38, 2 × 19
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Please list all factor pairs of 27.
Llama 3 8B:
To find the factor pairs of 27, we need to find the numbers that multiply together to give 27. The factor pairs of 27 are: 1. 1 x 27 = 27 2. 3 x 9 = 27 These are the only two factor pairs of 27. ### Answer: 1 x 27, 3 x 9
Expected answer: [(1, 27), (3, 9)]
Correct? Yes
Problem: List all the factor pairs of the number 78.
Llama 3 8B:
To find the factor pairs of 78, we need to find the numbers that divide 78 exactly without leaving a remainder. The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, and 78. Now, let's pair up these factors to get the factor pairs: 1. 1 and 78 2. 2 and 39 3. 3 and 26 4. 6 and 13 These are all the factor pairs of the number 78. ### Answer: 1 and 78, 2 and 39, 3 and 26, 6 and 13.
Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]
Correct? Yes
Problem: List out all the factor pairs of 23.
Llama 3 8B:
To find the factor pairs of 23, we need to find the numbers that multiply together to give 23. The only factor pairs of 23 are: * 1 and 23 These are the only two numbers that multiply together to give 23. ### Answer: 1 and 23
Expected answer: [(1, 23)]
Correct? Yes
Problem: List down all the factor pairs of 2.
Llama 3 8B:
The factor pairs of 2 are: * (1, 2) * (2, 1) Note that 2 is a prime number, which means it has only two distinct factors: 1 and itself.
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
Llama 3 8B:
To find the factor pairs of 49, we need to find the numbers that multiply together to give 49. 49 = 1 x 49 49 = 7 x 7 These are the only two factor pairs of 49. ### Answer: 1 x 49, 7 x 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.
Llama 3 8B:
To find the distinct pairs of factors that can multiply to give the number 93, we need to find all the factors of 93. The factors of 93 are: 1, 3, 31, and 93. Now, let's find the distinct pairs of factors: 1. 1 and 93 (since 1 × 93 = 93) 2. 3 and 31 (since 3 × 31 = 93) These are the only two distinct pairs of factors that can multiply to give the number 93. ### Answer: 1 and 93, 3 and 31.
Expected answer: [(1, 93), (3, 31)]
Correct? Yes