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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 64 are 1*64, 2*32, 4*16, and 8*8. So, the factor pairs of 64 are {(1, 64), (2, 32), (4, 16), (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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 18 are 1*18, 2*9, and 3*6. So, the factor pairs of 18 are: 1, 18 2, 9 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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 28 are the numbers that can be multiplied together to produce 28. The factors of 28 are 1*28, 2*14, and 4*7. ### 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.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 48 are 1*48, 2*24, and 3*16. However, since 1 is often not included when listing factors, the common factors of 48 are 2, 3, 4, 6, 8, 12, 16, and 24. ### Answer: 2, 3, 4, 6, 8, 12, 16, 24.
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? No
Problem: Write down all factor pairs of 7.
Mistral 7B:
Factor pairs of 7 are (1,7) and (7,1). ### Answer: (1,7), (7,1)
Expected answer: [(1, 7)]
Correct? No
Problem: Write down every pair of factors of 98.
Mistral 7B:
The factors of 98 are 1, 2, 7, 14, 49, and 98. The pairs of factors are (1, 98), (2, 49), and (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.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 26, the factor pairs are: (1, 26), (2, 13), and (13, 2). ### Answer: (1, 26), (2, 13), (13, 2)
Expected answer: [(1, 26), (2, 13)]
Correct? Yes
Problem: Write down all factor pairs of 59.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 59 are the numbers that can be multiplied together to produce 59. The factors of 59 are: 1*59, 3*19, 7*8 So, the factor pairs of 59 are: (1, 59), (3, 19), (7, 8) ### Answer: (1, 59), (3, 19), (7, 8)
Expected answer: [(1, 59)]
Correct? No
Problem: Find out all factor pairs of 20.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 20 are 1*20, 2*10, and 4*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? No
Problem: Write down all factor pairs of 20.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 20 are 1*20, 2*10, and 4*5. So, the factor pairs of 20 are: 1, 20 2, 10 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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 13 are 1*13 and 13*1. So, the factor pairs of 13 are: 1, 13 ### Answer: (1, 13)
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 81.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 81 are 1*81, 3*27, 9*9, and 27*3. ### Answer: (1, 81), (3, 27), (9, 9), (27, 3)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: List all factor pairs of 76.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 76 are the numbers that can be multiplied together to produce 76. The factors of 76 are: 1*76, 2*38, 4*19 So, the factor pairs of 76 are: (1, 76), (2, 38), (4, 19) ### Answer: (1, 76), (2, 38), (4, 19)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: Write down all factor pairs of 50.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 50 are 1*50, 2*25, 5*10, and 2*2*25. So, the factor pairs of 50 are: 1, 50 2, 25 5, 10 2, 2, 25 ### Answer: [(1, 50), (2, 25), (5, 10), (2, 2, 25)]
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: List all the factor pairs of the number 76.
Mistral 7B:
A factor pair is a pair of integers that multiply to give the original number. For the number 76, the factor pairs are: (1, 76), (2, 38), (4, 19). ### Answer: (1, 76), (2, 38), (4, 19)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: List all factor pairs of 56.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 56 are the numbers that can be multiplied together to produce 56. The factors of 56 are: 1*56, 2*28, 4*14, and 7*8. 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.
Mistral 7B:
A factor pair is a pair of integers that multiply to give the original number. For the number 44, the factor pairs are: (1, 44), (2, 22), (-1, -44), (-2, -22), (2, 2), (-2, 22), (-1, 44), (-2, -22), (-1, -44). ### Answer: (1, 44), (2, 22), (-1, -44), (-2, 22), (-1, 44), (-2, -22), (-1, -44)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? No
Problem: List all the factor pairs of 5.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 5 are 1 and 5, and also -1 and -5 (since multiplying a negative number by another negative number gives a positive result). So, the factor pairs of 5 are: 1, 5 -1, -5 ### Answer: {(1, 5), (-1, -5)}
Expected answer: [(1, 5)]
Correct? Yes
Problem: Identify all factor pairs of the number 95.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 95 are the numbers that can be multiplied together to produce 95. The factors of 95 are: 1*95 5*19 So, the factor pairs of 95 are: (1, 95) (5, 19) ### Answer: (1, 95), (5, 19)
Expected answer: [(1, 95), (5, 19)]
Correct? Yes
Problem: Please list all the factor pairs of 36.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For the number 36, the factor pairs are: (1, 36), (2, 18), (3, 12), (4, 9), (6, 6) ### Answer: (1, 36), (2, 18), (3, 12), (4, 9), (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.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 59 are the numbers that can be multiplied together to produce 59. The factors of 59 are: 1*59, 3*19, 7*8 So, the factor pairs of 59 are: (1, 59), (3, 19), (7, 8) ### Answer: (1, 59), (3, 19), (7, 8)
Expected answer: [(1, 59)]
Correct? No
Problem: What are all the factor pairs of 3?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 3 are 1 and 3, because 1*3 = 3. However, since we are looking for factor pairs, we need to include the pair (3,1) as well. ### Answer: (1,3) and (3,1) are the factor pairs of 3.
Expected answer: [(1, 3)]
Correct? No
Problem: Could you list all factor pairs of 51?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 51 are the numbers that can be multiplied together to produce 51. The factors of 51 are: 1*51, 3*17, and 7*7. So, the factor pairs of 51 are: (1, 51), (3, 17), and (7, 7). ### Answer: (1, 51), (3, 17), (7, 7)
Expected answer: [(1, 51), (3, 17)]
Correct? No
Problem: List all factor pairs of 50.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 50 are 1*50, 2*25, 5*10, and 2*2*25. So, the factor pairs of 50 are: 1, 50 2, 25 5, 10 2, 2, 25 ### Answer: [(1, 50), (2, 25), (5, 10), (2, 2, 25)]
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: Write down all factor pairs of 47.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factor pairs of 47 are: (1, 47) (-1, -47) (7, 7) The factor pairs of 47 are the pairs (1, 47) and (7, 7), because 1*47 = 47 and 7*7 = 49, but we are looking for factor pairs of 47, not 49. ### Answer: (1, 47), (7, 7)
Expected answer: [(1, 47)]
Correct? No
Problem: Write down all factor pairs of 51.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 51 are the numbers that can be multiplied together to produce 51. The factors of 51 are: 1*51, 3*17, and 7*7. So, the factor pairs of 51 are: (1, 51), (3, 17), and (7, 7). ### Answer: (1, 51), (3, 17), (7, 7)
Expected answer: [(1, 51), (3, 17)]
Correct? No
Problem: List all factor pairs of 60.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 60 are 1*60, 2*30, 3*20, 4*15, 5*12, and 6*10. So, the factor pairs of 60 are: * (1, 60) * (2, 30) * (3, 20) * (4, 15) * (5, 12) * (6, 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.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 43 are the numbers that can be multiplied together to produce 43. The factors of 43 are: 1*43 3*14 ### Answer: 1, 43 or 3, 14
Expected answer: [(1, 43)]
Correct? No
Problem: List all factor pairs of 70.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 70 are the numbers that can be multiplied together to produce 70. The factors of 70 are: 1*70, 2*35, 5*14 So, the factor pairs of 70 are: (1, 70), (2, 35), (5, 14) ### Answer: (1, 70), (2, 35), (5, 14)
Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]
Correct? No
Problem: Please list all the factors of the number 2.
Mistral 7B:
The factors of the number 2 are 1 and 2. ### Answer: 1, 2
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For 49, the factor pairs are: (1, 49), (7, 7) ### Answer: (1, 49), (7, 7)
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all factor pairs of 17.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 17 are 1*17 and 17*1. So, the factor pairs of 17 are {(1,17), (17,1)}. ### Answer: {(1,17), (17,1)}
Expected answer: [(1, 17)]
Correct? No
Problem: Find all the factor pairs of 35.
Mistral 7B:
A factor pair is a pair of integers that multiply to give another integer. For the number 35, its factor pairs are (1,35), (5,7), and (-1,-35). ### Answer: (1,35), (5,7), (-1,-35)
Expected answer: [(1, 35), (5, 7)]
Correct? No
Problem: Identify all factor pairs of the number 91.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 91 are the numbers that can be multiplied together to produce 91. The factors of 91 are: 1*91 3*30 7*13 So, the factor pairs of 91 are: (1, 91) (3, 30) (7, 13) ### Answer: (1, 91), (3, 30), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? No
Problem: List all factor pairs of the number 97.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 97 are the numbers that can be multiplied together to produce 97. The factors of 97 are: 1*97 7*13 So, the factor pairs of 97 are: (1, 97) (7, 13) ### Answer: (1, 97), (7, 13)
Expected answer: [(1, 97)]
Correct? No
Problem: What are all the factor pairs of 16?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 16 are 1*16, 2*8, and 4*4. So, the factor pairs of 16 are {(1,16), (2,8), (4,4)}. ### Answer: {(1,16), (2,8), (4,4)}
Expected answer: [(1, 16), (2, 8), (4, 4)]
Correct? No
Problem: Find all the factor pairs of the number 21.
Mistral 7B:
A factor pair is a pair of integers that multiply to give the original number. For the number 21, the factor pairs are (1, 21), (3, 7), and (7, 3). ### Answer: (1, 21), (3, 7), (7, 3)
Expected answer: [(1, 21), (3, 7)]
Correct? Yes
Problem: Could you determine all the factor pairs of 72?
Mistral 7B:
Reasoning: A factor pair of a number is a pair of integers that multiply to give the number. To find the factor pairs of 72, we can list all the factors of 72 and then pair them up. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factor pairs are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (9, 8). ### Answer: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (9, 8)
Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]
Correct? Yes
Problem: Determine all the factor pairs of 38.
Mistral 7B:
A factor pair is a pair of integers that multiply to give another integer. For the number 38, the factor pairs are (1, 38), (2, 19), and (-1, -38). ### Answer: (1, 38), (2, 19), (-1, -38)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: List all the factor pairs of 94.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 94 are the numbers that can be multiplied together to produce 94. The factors of 94 are: 1*94, 2*47, -1*-94, -2*-47 So, the factor pairs of 94 are: (1, 94), (2, 47), (-1, -94), (-2, -47) ### Answer: (1, 94), (2, 47), (-1, -94), (-2, -47)
Expected answer: [(1, 94), (2, 47)]
Correct? Yes
Problem: List all factor pairs of 32.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 32 are the numbers that can be multiplied together to produce 32. The factors of 32 are: 1*32, 2*16, 2*2*16, 2*2*2*8, 2*2*2*2*4, 2*2*2*2*2*2. So, the factor pairs of 32 are: 1*32, 2*16, 2*2*8, 2*2*4, 2*2*2*2. ### Answer: [(1, 32), (2, 16), (2, 2, 8), (2, 2, 4), (2, 2, 2, 2)]
Expected answer: [(1, 32), (2, 16), (4, 8)]
Correct? Yes
Problem: Identify all factor pairs of the number 33.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 33 are 1*33, 3*11, and -1*(-33), -3*(-11). So, the factor pairs are (1, 33), (3, 11), (-1, -33), and (-3, -11). ### Answer: (1, 33), (3, 11), (-1, -33), (-3, -11)
Expected answer: [(1, 33), (3, 11)]
Correct? Yes
Problem: Write down all the factor pairs of 59.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 59 are the numbers that can be multiplied together to produce 59. The factors of 59 are: 1*59, 3*19, 7*8 So, the factor pairs of 59 are: (1, 59), (3, 19), (7, 8) ### Answer: (1, 59), (3, 19), (7, 8)
Expected answer: [(1, 59)]
Correct? No
Problem: List all the factor pairs of the number 54.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 54, the factor pairs are: (2, 27), (3, 18), (2, 9, 3), (3, 6, 9) ### Answer: (2, 27), (3, 18), (2, 9, 3), (3, 6, 9)
Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]
Correct? No
Problem: Determine all factor pairs of the number 85.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 85 are the numbers that can be multiplied together to produce 85. The factors of 85 are: 1*85, 5*17 So, the factor pairs of 85 are: (1, 85), (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.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 56 are the numbers that can be multiplied together to produce 56. The factors of 56 are: 1*56, 2*28, 4*14, and 7*8. 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 24.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 24, the factor pairs are: 1. (1, 24) 2. (2, 12) 3. (3, 8) 4. (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?
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 84 are 1*84, 2*42, and 3*28. However, since we are looking for factor pairs, we need to find the pairs of factors. So, the factor pairs of 84 are (1,84), (2,42), and (3,28). ### Answer: (1,84), (2,42), (3,28)
Expected answer: [(1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)]
Correct? No
Problem: Identify all factor pairs of the number 36.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 36 are 1*36, 2*18, and 3*12. However, since we are looking for factor pairs, we can rewrite the factors as (1,36), (2,18), and (3,12). ### Answer: (1,36), (2,18), (3,12)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: What are all the factor pairs of 85?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. For 85, the factors are 1*85, 5*17, and -1*(-85), -5*(-17). However, since we are looking for factor pairs, we only need the positive factors. 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.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 34 are the numbers that can be multiplied together to produce 34. The factors of 34 are: 1*34, 2*17 So, the factor pairs of 34 are: (1, 34), (2, 17) ### Answer: (1, 34), (2, 17)
Expected answer: [(1, 34), (2, 17)]
Correct? Yes
Problem: Determine all factor pairs of 88.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 88 are 1*88, 2*44, and 4*22. However, since we are looking for factor pairs, we need to consider each factor as a single number. So, the factor pairs of 88 are (1,88), (2,44), and (4,22). ### Answer: (1,88), (2,44), (4,22)
Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]
Correct? No
Problem: Write down all factor pairs for the number 83.
Mistral 7B:
A factor pair for a number is a pair of integers that multiply to give the original number. For the number 83, the factor pairs are: (1, 83) (3, 27) (7, 12) So, the factor pairs for the number 83 are: (1, 83), (3, 27), and (7, 12). ### Answer: (1, 83), (3, 27), (7, 12)
Expected answer: [(1, 83)]
Correct? No
Problem: What are all the factor pairs of 60?
Mistral 7B:
A factor pair is a pair of integers that multiply to produce a given number. The factor pairs of 60 are: (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 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: Write down all factor pairs of 58.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 58 are the numbers that can be multiplied together to produce 58. The factors of 58 are: 1*58, 2*29, and -1*-58 (since the product of a number and its negative is always a positive number). So, the factor pairs of 58 are: (1, 58), (2, 29), and (-1, -58). ### Answer: (1, 58), (2, 29), (-1, -58)
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: Please list all of the factor pairs of the number 40.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. For the number 40, the factor pairs are: (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (20, 2). ### Answer: (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (20, 2)
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 91 are the numbers that can be multiplied together to produce 91. The factors of 91 can be found by listing all the multiples of 1, 3, 7, and 31 (since 91 = 3*3*7), and then finding the pairs of factors. The multiples of 1 are 1, 91 (since 91 is a prime number, it has no other multiples). The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, and 91. The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91. The multiples of 31 are 31, 62, 93, 124, 155, 186, 217, 248, 279, 300, 321, 342, 363, 384, 405, 426, 447, 468, 489, 510, 531, 552, 573, 594, 615, 636, 657, 678, 699, 720, 741, 762, 783, 804, 825, 846, 867, 888, 909, 930, 951, 972, 993. Now, we find the pairs of factors by looking for each multiple that appears twice in the list of multiples of 3, 7, and 31. The pairs of factors of 91 are (1, 91), (3, 30), (3, 31), (7, 13), and (7, 13). ### Answer: (1, 91), (3, 30), (3, 31), (7, 13), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? No
Problem: List all the factor pairs of 76.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 76 are the numbers that can be multiplied together to produce 76. The factors of 76 are: 1*76, 2*38, 4*19 So, the factor pairs of 76 are: (1, 76), (2, 38), (4, 19) ### Answer: (1, 76), (2, 38), (4, 19)
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? Yes
Problem: What are all the factor pairs of 13?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 13 are 1*13 and 13*1, so the factor pairs are (1,13) and (13,1). ### Answer: (1,13), (13,1)
Expected answer: [(1, 13)]
Correct? No
Problem: Find all factor pairs of 64.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 64 are 1*64, 2*32, 4*16, and 8*8. So, the factor pairs of 64 are {(1, 64), (2, 32), (4, 16), (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?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 8 are 1*8, 2*4, and 4*2. So, the factor pairs of 8 are {(1,8), (2,4), (4,2)}. ### Answer: {(1,8), (2,4), (4,2)}
Expected answer: [(1, 8), (2, 4)]
Correct? No
Problem: List all the factor pairs of 80.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For the number 80, the factor pairs are: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10), (10, 8) ### Answer: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10), (10, 8)
Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]
Correct? Yes
Problem: Calculate all the factor pairs for the number 96.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. For the number 96, the factor pairs are: 1*96, 2*48, 3*32, 4*24, 6*16, 8*12. ### Answer: (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (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.
Mistral 7B:
A factor pair is a pair of integers that multiply to give another integer. The factors of 19 are 1 and 19, and also 17 and 1 because 17*1 = 19. So, the factor pairs of 19 are {(1,19), (17,1)}. ### Answer: {(1,19), (17,1)}
Expected answer: [(1, 19)]
Correct? No
Problem: What are all factor pairs of 37?
Mistral 7B:
A factor pair is a pair of integers that multiply to produce a given number. For the number 37, its factor pairs are (1, 37) and (19, 2). ### Answer: (1, 37), (19, 2)
Expected answer: [(1, 37)]
Correct? No
Problem: Write down all factor pairs of the number 6.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 6 are 1*6 and 2*3. So, the factor pairs of 6 are {(1, 6), (2, 3)}. ### Answer: {(1, 6), (2, 3)}
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: List down all the factor pairs of 58.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For the number 58, the factor pairs are: (1, 58) (2, 29) (-1, -58) (-2, -29) So, the factor pairs of 58 are (1, 58), (2, 29), (-1, -58), and (-2, -29).
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: List all the factor pairs of the number 81.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 81, the factor pairs are: (1, 81) (3, 27) (9, 9) 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.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. For the number 85, the factor pairs are: (1, 85), (5, 17), (-1, -85), (-5, -17). ### Answer: (1, 85), (5, 17), (-1, -85), (-5, -17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Write down all factor pairs for the number 93.
Mistral 7B:
A factor pair for a number is a pair of integers that multiply to give the original number. For the number 93, the factor pairs are: (1, 93) (3, 31) (7, 13) So, the factor pairs for the number 93 are (1, 93), (3, 31), and (7, 13). ### Answer: (1, 93), (3, 31), (7, 13)
Expected answer: [(1, 93), (3, 31)]
Correct? No
Problem: Identify all factor pairs of 24.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 24 are the numbers that can be multiplied together to produce 24. The factors of 24 are: 1*24, 2*12, 3*8, and 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: List all the factor pairs of 97.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For 97, the factor pairs are: (1, 97) (-1, -97) (7, 13) (-7, -13) So, the factor pairs of 97 are: (1, 97), (7, 13), (-1, -97), (-7, -13) ### Answer: (1, 97), (7, 13), (-1, -97), (-7, -13)
Expected answer: [(1, 97)]
Correct? No
Problem: Identify all factor pairs of the number 57.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 57 are the numbers that can be multiplied together to produce 57. The factors of 57 are: 1*57, 3*19, and 7*8. So, the factor pairs of 57 are: (1, 57), (3, 19), and (7, 8). ### Answer: (1, 57), (3, 19), (7, 8)
Expected answer: [(1, 57), (3, 19)]
Correct? No
Problem: List down all the factor pairs of 19.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 19 are 1*19, 17*1, and 13*14. So, the factor pairs of 19 are: 1*19 17*1 13*14 ### Answer: {(1, 19), (17, 1), (13, 14)}
Expected answer: [(1, 19)]
Correct? No
Problem: What are all factor pairs of 38?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. For a given number, the factors are the positive integers that can be multiplied together to produce that number. The factors of 38 are the numbers that can be multiplied together to give 38. The factors of 38 are 1 and 38, 2 and 19, and -1 and -38 (since multiplying a number by -1 gives the negative of the original number). ### Answer: (1, 38), (2, 19), (-1, -38)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Find all the factor pairs of the number 6.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 6 are 1 and 6, and also -1 and -6. So, the factor pairs of 6 are {(1,6), (-1,-6)}. ### Answer: {(1,6), (-1,-6)}
Expected answer: [(1, 6), (2, 3)]
Correct? No
Problem: Write down all factor pairs of 17.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 17 are 1*17 and 17*1. So, the factor pairs of 17 are {(1, 17), (17, 1)}. ### Answer: {(1, 17), (17, 1)}
Expected answer: [(1, 17)]
Correct? Yes
Problem: List all factor pairs of 45.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 45 are the numbers that can be multiplied together to produce 45. The factors of 45 are: 1*45, 3*15, and 5*9. 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.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give a specific number, in this case 36. Here are the factor pairs of 36: 1*36, 2*18, 3*12, 4*9, 6*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), (6, 6)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all factor pairs of 89?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. For a number like 89, the factors are the numbers that divide it evenly. The factors of 89 are: 1*89 3*29 7*13 So, the factor pairs of 89 are: (1, 89) (3, 29) (7, 13) ### Answer: (1, 89), (3, 29), (7, 13)
Expected answer: [(1, 89)]
Correct? No
Problem: List all the factor pairs of 89.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. For 89, the factor pairs are: (1, 89) (7, 13) ### Answer: (1, 89), (7, 13)
Expected answer: [(1, 89)]
Correct? No
Problem: List all the factor pairs of the number 44.
Mistral 7B:
A factor pair is a pair of integers that multiply to give the original number. For the number 44, the factor pairs are: (1, 44), (2, 22), (-1, -44), (-2, -22), (2, 2), (-2, 22), (-1, 44), (-2, -22), (-1, -44). ### Answer: (1, 44), (2, 22), (-1, -44), (-2, 22), (-1, 44), (-2, -22), (-1, -44)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? No
Problem: Identify all factor pairs of the number 36.
Mistral 7B:
A factor pair is a pair of integers that multiply to produce the given number. The factors of 36 are 1*36, 2*18, and 3*12. However, since we are looking for factor pairs, we can rewrite the factors as (1,36), (2,18), and (3,12). ### Answer: (1,36), (2,18), (3,12)
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: List all possible factor pairs of the number 35.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 35, the factor pairs are: 1. (1, 35) 2. (5, 7) ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Write down all factor pairs of 22.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 22 are the numbers that can be multiplied together to produce 22. The factors of 22 are: 1*22, 2*11 So, the factor pairs of 22 are: (1, 22), (2, 11) ### Answer: (1, 22), (2, 11)
Expected answer: [(1, 22), (2, 11)]
Correct? Yes
Problem: Find all the factor pairs of 40.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the original number. The factors of 40 are 1*40, 2*20, 4*10, and 2*2*10 or 2*2*2*5. So, the factor pairs of 40 are {(1,40), (2,20), (4,10), (2,2,10) or (2,2,2,5)}. ### Answer: {(1,40), (2,20), (4,10), (2,2,10) or (2,2,2,5)}
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? No
Problem: List all the factor pairs of the number 64.
Mistral 7B:
A factor pair is a pair of numbers that multiply to give the original number. For the number 64, the factor pairs are: (1, 64), (2, 32), (4, 16), (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.
Mistral 7B:
A factor pair is a pair of integers that multiply to give another integer, in this case 30. The factors of 30 are 1*30, 2*15, and 3*10. So, the factor pairs of 30 are {(1,30), (2,15), (3,10)}. ### Answer: {(1,30), (2,15), (3,10)}
Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]
Correct? No
Problem: List all factor pairs of 59.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factors of 59 are the numbers that can be multiplied together to produce 59. The factors of 59 are: 1*59, 3*19, 7*8 So, the factor pairs of 59 are: (1, 59), (3, 19), (7, 8) ### Answer: (1, 59), (3, 19), (7, 8)
Expected answer: [(1, 59)]
Correct? No
Problem: List all factor pairs of 18.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 18 are 1*18, 2*9, and 3*6. So, the factor pairs of 18 are: 1, 18 2, 9 3, 6 ### Answer: {(1, 18), (2, 9), (3, 6)}
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Please list all the factor pairs of 61.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the original number. The factors of 61 are the numbers that can be multiplied together to produce 61. The factors of 61 are: 1*61 3*20 7*9 So, the factor pairs of 61 are: (1, 61) (3, 20) (7, 9) ### Answer: (1, 61), (3, 20), (7, 9)
Expected answer: [(1, 61)]
Correct? No
Problem: What are all of the factor pairs of 86?
Mistral 7B:
A factor pair is a pair of numbers that multiply to give a specific number (in this case, 86). The factors of 86 are the numbers that can be divided evenly into 86. The factors of 86 are: 1 and 86 (since 1*86 = 86) 2 and 43 (since 2*43 = 86) 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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 57 are the numbers that can be multiplied together to produce 57. The factors of 57 are: 1*57, 3*19, and 7*8. So, the factor pairs of 57 are: (1, 57), (3, 19), and (7, 8). ### Answer: (1, 57), (3, 19), (7, 8)
Expected answer: [(1, 57), (3, 19)]
Correct? No
Problem: What are all factor pairs of 38?
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. For a given number, the factors are the positive integers that can be multiplied together to produce that number. The factors of 38 are the numbers that can be multiplied together to give 38. The factors of 38 are 1 and 38, 2 and 19, and -1 and -38 (since multiplying a number by -1 gives the negative of the original number). ### Answer: (1, 38), (2, 19), (-1, -38)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Please list all factor pairs of 27.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. The factors of 27 are the numbers that can be multiplied together to produce 27. The factors of 27 are: 1*27, 3*9, and 3*3*3. So, the factor pairs of 27 are: (1, 27), (3, 9), and (3, 3, 3). ### Answer: (1, 27), (3, 9), (3, 3, 3)
Expected answer: [(1, 27), (3, 9)]
Correct? Yes
Problem: List all the factor pairs of the number 78.
Mistral 7B:
A factor pair is a pair of integers that multiply to give the original number. For the number 78, the factor pairs are: (1, 78), (2, 39), (3, 26), (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.
Mistral 7B:
A factor pair of a number is a pair of numbers that multiply to give the original number. For the number 23, the factor pairs are: 1. (1, 23) 2. (2, 11) ### Answer: (1, 23), (2, 11)
Expected answer: [(1, 23)]
Correct? No
Problem: List down all the factor pairs of 2.
Mistral 7B:
The factor pairs of 2 are: 1. 1 and 2 (since 1*2 = 2) ### Answer: [1, 2]
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
Mistral 7B:
A factor pair of a number is a pair of integers that multiply to give the number. The factor pairs of 49 are: (1, 49) (7, 7) (-1, -49) (-7, -7) So, the factor pairs of 49 are (1, 49), (7, 7), (-1, -49), and (-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.
Mistral 7B:
Reasoning: Factors of a number are numbers that can be multiplied together to produce that number. The factors of 93 are the numbers that can be multiplied together to give 93. The factors of 93 are 1*93, 3*31, and 7*13. However, since we are looking for distinct pairs, we can pair the factors in different ways: 1. (1, 93) 2. (3, 31) 3. (7, 13) ### Answer: (1, 93), (3, 31), (7, 13)
Expected answer: [(1, 93), (3, 31)]
Correct? No