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.
CodeLlama 7B:
The factor pairs of 64 are: * 1 and 64 * 2 and 32 * 4 and 16 * 8 and 8 * 16 and 4 * 32 and 2 * 64 and 1
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: List all the factor pairs of 18.
CodeLlama 7B:
The factor pairs of 18 are: * 1 x 18 * 2 x 9 * 3 x 6 * 4 x 6 * 6 x 3 * 9 x 2
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? No
Problem: Find all factor pairs of 28.
CodeLlama 7B:
The factor pairs of 28 are: * 1 and 28 * 2 and 14 * 4 and 7 * 7 and 4 * 14 and 2 Therefore, the factors of 28 are 1, 2, 4, 7, and 14.
Expected answer: [(1, 28), (2, 14), (4, 7)]
Correct? Yes
Problem: List all factor pairs of the number 48.
CodeLlama 7B:
The factor pairs of the number 48 are: * 1 x 48 * 2 x 24 * 3 x 16 * 4 x 12 * 6 x 8 * 8 x 6 * 12 x 4 * 16 x 3 * 24 x 2 * 48 x 1
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? Yes
Problem: Write down all factor pairs of 7.
CodeLlama 7B:
The factor pairs of 7 are: 1. 1 and 7 2. 2 and 3 3. 4 and 1 4. 5 and 1 5. 6 and 1 Therefore, the list of all factor pairs of 7 is: 1, 7 2, 3 4, 1 5, 1 6, 1
Expected answer: [(1, 7)]
Correct? No
Problem: Write down every pair of factors of 98.
CodeLlama 7B:
The factors of 98 are: * 1 and 98 * 2 and 49 * 3 and 33 * 6 and 17 * 9 and 11 * 18 and 5 * 36 and 3 * 57 and 1 Therefore, the pairs of factors of 98 are: * 1 and 98 * 2 and 49 * 3 and 33 * 6 and 17 * 9 and 11 * 18 and 5 * 36 and 3 * 57 and 1
Expected answer: [(1, 98), (2, 49), (7, 14)]
Correct? No
Problem: List all the factor pairs of the number 26.
CodeLlama 7B:
The factor pairs of the number 26 are: * 1 and 26 * 2 and 13 * 3 and 8 * 4 and 7 * 5 and 6 * 6 and 5 * 7 and 4 * 8 and 3 * 9 and 2 * 10 and 1 Therefore, the list of factor pairs of the number 26 is: 1, 26 2, 13 3, 8 4, 7 5, 6 6, 5 7, 4 8, 3 9, 2 10, 1
Expected answer: [(1, 26), (2, 13)]
Correct? No
Problem: Write down all factor pairs of 59.
CodeLlama 7B:
The factor pairs of 59 are: * 1 and 59 * 3 and 19 * 5 and 11 * 7 and 8 * 9 and 7 * 11 and 5 * 13 and 3 * 17 and 2 * 19 and 11 * 23 and 7 * 29 and 5 * 31 and 3 * 37 and 2 * 41 and 1 Therefore, the list of all factor pairs of 59 is: 1, 59 3, 19 5, 11 7, 8 9, 7 11, 5 13, 3 17, 2 19, 11 23, 7 29, 5 31, 3 37, 2 41, 1
Expected answer: [(1, 59)]
Correct? No
Problem: Find out all factor pairs of 20.
CodeLlama 7B:
The factor pairs of 20 are: * 1 and 20 * 2 and 10 * 4 and 5 * 8 and 2.5 Therefore, the factors of 20 are 1, 2, 4, 5, 8, and 20.
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? No
Problem: Write down all factor pairs of 20.
CodeLlama 7B:
The factor pairs of 20 are: * 1, 20 * 2, 10 * 4, 5 * 5, 4 * 10, 2 Therefore, the list of all factor pairs of 20 is: * 1, 20 * 2, 10 * 4, 5 * 5, 4 * 10, 2
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Please list down all factor pairs of 13.
CodeLlama 7B:
Sure! Here are all the factor pairs of 13: 1. 1 x 13 = 13 2. 2 x 6 = 12 3. 3 x 4 = 12 4. 4 x 3 = 12 5. 5 x 2 = 10 6. 6 x 2 = 12 7. 7 x 1 = 7 8. 8 x 1 = 8 9. 9 x 1 = 9 10. 10 x 1 = 10 11. 11 x 1 = 11 12. 12 x 1 = 12 So, there are 12 factor pairs of 13.
Expected answer: [(1, 13)]
Correct? No
Problem: Find all factor pairs of 81.
CodeLlama 7B:
The prime factorization of 81 is: 81 = 3 x 3 x 3 x 7 Therefore, the factor pairs of 81 are: (3, 3) (3, 7) (7, 3)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? No
Problem: List all factor pairs of 76.
CodeLlama 7B:
The factor pairs of 76 are: * 1 x 76 * 2 x 38 * 3 x 26 * 4 x 19 * 6 x 14 * 8 x 11 * 12 x 7 * 14 x 5 * 16 x 4 * 22 x 2 * 28 x 1 Therefore, the list of factor pairs of 76 is: 1 x 76 2 x 38 3 x 26 4 x 19 6 x 14 8 x 11 12 x 7 14 x 5 16 x 4 22 x 2 28 x 1
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: Write down all factor pairs of 50.
CodeLlama 7B:
The factor pairs of 50 are: * 1 and 50 * 2 and 25 * 3 and 17 * 4 and 13 * 5 and 10 * 6 and 8 * 10 and 5 * 12 and 4 * 15 and 3 * 20 and 2 * 25 and 1 Therefore, the total number of factor pairs of 50 is 12.
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? No
Problem: List all the factor pairs of the number 76.
CodeLlama 7B:
The factor pairs of the number 76 are: * 1 x 76 * 2 x 38 * 3 x 26 * 4 x 19 * 6 x 14 * 8 x 11 * 12 x 7 * 14 x 5 * 21 x 3 * 28 x 1
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: List all factor pairs of 56.
CodeLlama 7B:
The factor pairs of 56 are: * 1 and 56 * 2 and 28 * 3 and 19 * 4 and 14 * 6 and 9 * 8 and 7 * 12 and 5 * 16 and 3 * 24 and 1 Therefore, the list of factor pairs of 56 is: 1, 56 2, 28 3, 19 4, 14 6, 9 8, 7 12, 5 16, 3 24, 1
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? No
Problem: List all the factor pairs of the number 44.
CodeLlama 7B:
The factor pairs of the number 44 are: * 1 and 44 * 2 and 22 * 3 and 14 * 6 and 7 * 11 and 4 * 22 and 2 Therefore, the list of factor pairs of the number 44 is: 1. 1 and 44 2. 2 and 22 3. 3 and 14 4. 6 and 7 5. 11 and 4 6. 22 and 2
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? No
Problem: List all the factor pairs of 5.
CodeLlama 7B:
The factor pairs of 5 are: * 1 and 5 * 2 and 3 * 4 and 1
Expected answer: [(1, 5)]
Correct? No
Problem: Identify all factor pairs of the number 95.
CodeLlama 7B:
The number 95 can be factored into the following pairs: * 3 x 3 x 3 x 5 * 5 x 19 * 95 Therefore, the factor pairs of 95 are: * 3 x 3 x 3 x 5 * 5 x 19 * 95
Expected answer: [(1, 95), (5, 19)]
Correct? No
Problem: Please list all the factor pairs of 36.
CodeLlama 7B:
The factor pairs of 36 are: * 1 and 36 * 2 and 18 * 3 and 12 * 4 and 9 * 6 and 6 * 8 and 3 * 12 and 1 * 18 and 1 * 36 and 1
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: Compute all the factor pairs of the number 59.
CodeLlama 7B:
The factor pairs of the number 59 are: * 1 and 59 * 3 and 19 * 9 and 7 * 11 and 5 * 17 and 3 * 29 and 1 Therefore, the list of factor pairs of 59 is: 1, 59 3, 19 9, 7 11, 5 17, 3 29, 1
Expected answer: [(1, 59)]
Correct? No
Problem: What are all the factor pairs of 3?
CodeLlama 7B:
The factor pairs of 3 are: * 1 and 3 * 2 and 1.5 Note that 1.5 is not a whole number, but it is a common way to represent the fraction 3/2.
Expected answer: [(1, 3)]
Correct? No
Problem: Could you list all factor pairs of 51?
CodeLlama 7B:
Sure! Here are all the factor pairs of 51: 1. 1 x 51 2. 2 x 25 3. 3 x 17 4. 4 x 13 5. 5 x 11 6. 6 x 9 7. 7 x 8 8. 8 x 7 9. 9 x 6 10. 10 x 5 11. 11 x 4 12. 12 x 3 13. 13 x 2 14. 14 x 1 Note that the first factor in each pair is always less than or equal to the second factor.
Expected answer: [(1, 51), (3, 17)]
Correct? No
Problem: List all factor pairs of 50.
CodeLlama 7B:
The factor pairs of 50 are: * 1 and 50 * 2 and 25 * 3 and 17 * 4 and 13 * 5 and 10 * 6 and 8 * 10 and 5 * 12 and 4 * 15 and 3 * 20 and 2 * 25 and 1 Therefore, the list of all factor pairs of 50 is: 1, 50 2, 25 3, 17 4, 13 5, 10 6, 8 10, 5 12, 4 15, 3 20, 2 25, 1
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? No
Problem: Write down all factor pairs of 47.
CodeLlama 7B:
The factor pairs of 47 are: * 1 and 47 * 2 and 23 * 3 and 15 * 6 and 7 * 9 and 7 * 14 and 5 * 21 and 3 * 47 and 1
Expected answer: [(1, 47)]
Correct? No
Problem: Write down all factor pairs of 51.
CodeLlama 7B:
The factor pairs of 51 are: * 1 and 51 * 2 and 25 * 3 and 17 * 6 and 8 * 9 and 7 * 11 and 5 * 13 and 4 * 17 and 2 * 25 and 1 Therefore, the list of factor pairs of 51 is: 1, 51 2, 25 3, 17 6, 8 9, 7 11, 5 13, 4 17, 2 25, 1
Expected answer: [(1, 51), (3, 17)]
Correct? No
Problem: List all factor pairs of 60.
CodeLlama 7B:
The factor pairs of 60 are: * 1 and 60 * 2 and 30 * 3 and 20 * 4 and 15 * 5 and 12 * 6 and 10 * 8 and 8 * 10 and 6 * 12 and 5 * 15 and 4 * 20 and 3 * 30 and 2 Therefore, the list of all factor pairs of 60 is: 1, 60 2, 30 3, 20 4, 15 5, 12 6, 10 8, 8 10, 6 12, 5 15, 4 20, 3 30, 2
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? No
Problem: List all factor pairs of 43.
CodeLlama 7B:
The factor pairs of 43 are: * 1 and 43 * 3 and 14 * 9 and 5 * 13 and 4 * 21 and 2 * 29 and 1 Therefore, the list of factor pairs of 43 is: 1, 43 3, 14 9, 5 13, 4 21, 2 29, 1
Expected answer: [(1, 43)]
Correct? No
Problem: List all factor pairs of 70.
CodeLlama 7B:
The factor pairs of 70 are: * 1 and 70 * 2 and 35 * 3 and 23 * 4 and 17 * 5 and 14 * 6 and 10 * 10 and 6 * 15 and 4 * 20 and 3 * 30 and 2 * 40 and 1 Therefore, the list of factor pairs of 70 is: 1, 70 2, 35 3, 23 4, 17 5, 14 6, 10 10, 6 15, 4 20, 3 30, 2 40, 1
Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]
Correct? No
Problem: Please list all the factors of the number 2.
CodeLlama 7B:
The factors of the number 2 are 1 and 2.
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
CodeLlama 7B:
The factor pairs of 49 are: * 1 and 49 * 3 and 16 * 9 and 6 * 19 and 2 * 49 and 1
Expected answer: [(1, 49), (7, 7)]
Correct? No
Problem: Identify all factor pairs of 17.
CodeLlama 7B:
The factor pairs of 17 are: * 1 and 17 * 17 and 1 * 2 and 8 * 8 and 2 * 4 and 4 * 4 and 11 * 11 and 4 * 7 and 11 * 11 and 7 Therefore, the factors of 17 are 1, 17, 2, 8, 4, 11, and 7.
Expected answer: [(1, 17)]
Correct? No
Problem: Find all the factor pairs of 35.
CodeLlama 7B:
The factor pairs of 35 are: * 1 and 35 * 5 and 7 * 15 and 1 * 35 and 1 Therefore, the list of factor pairs of 35 is: 1, 35 5, 7 15, 1 35, 1
Expected answer: [(1, 35), (5, 7)]
Correct? No
Problem: Identify all factor pairs of the number 91.
CodeLlama 7B:
The number 91 can be factored into the following pairs: * 3 x 3 x 3 x 3 x 3 * 3 x 3 x 3 x 3 x 7 * 3 x 3 x 3 x 3 x 11 * 3 x 3 x 3 x 3 x 13 * 3 x 3 x 3 x 3 x 17 * 3 x 3 x 3 x 3 x 19 * 3 x 3 x 3 x 3 x 23 * 3 x 3 x 3 x 3 x 29 * 3 x 3 x 3 x 3 x 31 * 3 x 3 x 3 x 3 x 37 * 3 x 3 x 3 x 3 x 41 * 3 x 3 x 3 x 3 x 43 * 3 x 3 x 3 x 3 x 47 * 3 x 3 x 3 x 3 x 53 * 3 x 3 x 3 x 3 x 59 * 3 x 3 x 3 x 3 x 61 * 3 x 3 x 3 x 3 x 67 * 3 x 3 x 3 x 3 x 71 * 3 x 3 x 3 x 3 x 73 * 3 x 3 x 3 x 3 x 79 * 3 x 3 x 3 x 3 x 83 * 3 x 3 x 3 x 3 x 89 * 3 x 3 x 3 x 3 x 97 Note that these are all the factor pairs of 91, and there are no other pairs that can be formed by multiplying 3 by any other number.
Expected answer: [(1, 91), (7, 13)]
Correct? No
Problem: List all factor pairs of the number 97.
CodeLlama 7B:
The prime factorization of 97 is 3 x 3 x 3 x 11. Here are all the factor pairs of 97: * 1 x 97 * 3 x 33 * 3 x 31 * 3 x 11 * 9 x 11 * 9 x 10 * 27 x 3 * 27 x 2 * 27 x 1 * 97 x 1
Expected answer: [(1, 97)]
Correct? No
Problem: What are all the factor pairs of 16?
CodeLlama 7B:
The factor pairs of 16 are: * 1 x 16 * 2 x 8 * 4 x 4 * 8 x 2 So, the list of all factor pairs of 16 is: * 1 x 16 * 2 x 8 * 4 x 4 * 8 x 2
Expected answer: [(1, 16), (2, 8), (4, 4)]
Correct? Yes
Problem: Find all the factor pairs of the number 21.
CodeLlama 7B:
The factor pairs of the number 21 are: * 1 x 21 = 21 * 3 x 7 = 21 * 5 x 5 = 25 * 7 x 3 = 21 * 9 x 3 = 27 * 11 x 2 = 22 * 13 x 1 = 13 * 17 x 1 = 17 * 19 x 1 = 19 * 23 x 1 = 23 * 29 x 1 = 29 Therefore, the factor pairs of the number 21 are: * 1 x 21 * 3 x 7 * 5 x 5 * 7 x 3 * 9 x 3 * 11 x 2 * 13 x 1 * 17 x 1 * 19 x 1 * 23 x 1 * 29 x 1
Expected answer: [(1, 21), (3, 7)]
Correct? No
Problem: Could you determine all the factor pairs of 72?
CodeLlama 7B:
Yes, I can determine all the factor pairs of 72. The prime factorization of 72 is: 72 = 2^4 \* 3^1 Therefore, the factor pairs of 72 are: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9), (12, 6), (18, 4), (24, 3), (36, 2), (48, 1) So, the factor pairs of 72 are: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9), (12, 6), (18, 4), (24, 3), (36, 2), (48, 1)
Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]
Correct? No
Problem: Determine all the factor pairs of 38.
CodeLlama 7B:
The factor pairs of 38 are: * 1 and 38 * 2 and 19 * 3 and 13 * 6 and 6 * 9 and 9 * 18 and 1 * 36 and 1 Therefore, the list of factor pairs of 38 is: 1, 38 2, 19 3, 13 6, 6 9, 9 18, 1 36, 1
Expected answer: [(1, 38), (2, 19)]
Correct? No
Problem: List all the factor pairs of 94.
CodeLlama 7B:
The factor pairs of 94 are: * 1 x 94 * 2 x 47 * 3 x 31 * 4 x 23 * 5 x 19 * 6 x 15 * 7 x 13 * 8 x 11 * 9 x 9 * 10 x 8 * 11 x 7 * 12 x 6 * 13 x 5 * 14 x 4 * 15 x 3 * 16 x 2 * 17 x 1 Note that the factors are listed in pairs, with the first number in each pair being the factor and the second number being the multiple.
Expected answer: [(1, 94), (2, 47)]
Correct? No
Problem: List all factor pairs of 32.
CodeLlama 7B:
The factor pairs of 32 are: * 1 and 32 * 2 and 16 * 4 and 8 * 5 and 6 * 10 and 3 * 12 and 2 * 15 and 1 Therefore, the list of factor pairs of 32 is: 1, 32 2, 16 4, 8 5, 6 10, 3 12, 2 15, 1
Expected answer: [(1, 32), (2, 16), (4, 8)]
Correct? No
Problem: Identify all factor pairs of the number 33.
CodeLlama 7B:
The factor pairs of the number 33 are: * 1 and 33 * 2 and 16 * 3 and 11 * 5 and 6 * 7 and 5 * 11 and 3 * 13 and 2 * 17 and 1 Therefore, the list of factor pairs of 33 is: 1, 33 2, 16 3, 11 5, 6 7, 5 11, 3 13, 2 17, 1
Expected answer: [(1, 33), (3, 11)]
Correct? No
Problem: Write down all the factor pairs of 59.
CodeLlama 7B:
The factor pairs of 59 are: * 1 and 59 * 2 and 29 * 3 and 19 * 6 and 9 * 9 and 6 * 18 and 3 * 36 and 1 Therefore, the list of factor pairs of 59 is: 1, 59 2, 29 3, 19 6, 9 9, 6 18, 3 36, 1
Expected answer: [(1, 59)]
Correct? No
Problem: List all the factor pairs of the number 54.
CodeLlama 7B:
The factor pairs of the number 54 are: * 1 and 54 * 2 and 27 * 3 and 18 * 4 and 14 * 6 and 9 * 9 and 6 * 12 and 5 * 18 and 3 * 27 and 2 * 36 and 1
Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]
Correct? No
Problem: Determine all factor pairs of the number 85.
CodeLlama 7B:
The prime factorization of 85 is: 85 = 3 x 3 x 5 Therefore, the factor pairs of 85 are: (3, 3) (3, 5) (5, 3)
Expected answer: [(1, 85), (5, 17)]
Correct? No
Problem: Identify all the factor pairs of the number 56.
CodeLlama 7B:
The factor pairs of the number 56 are: * 1 and 56 * 2 and 28 * 4 and 14 * 7 and 8 * 14 and 1 * 28 and 1 Therefore, the list of factor pairs of 56 is: 1. 1 and 56 2. 2 and 28 3. 4 and 14 4. 7 and 8 5. 14 and 1 6. 28 and 1
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? No
Problem: List all the factor pairs of the number 24.
CodeLlama 7B:
The factor pairs of the number 24 are: * 1 x 24 * 2 x 12 * 3 x 8 * 4 x 6 * 6 x 4 * 8 x 3 * 12 x 2 * 24 x 1
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: What are all the factor pairs of the number 84?
CodeLlama 7B:
The factor pairs of the number 84 are: * 1 x 84 * 2 x 42 * 3 x 28 * 4 x 21 * 6 x 14 * 8 x 11 * 12 x 8 * 14 x 7 * 16 x 6 * 21 x 4 * 28 x 3 * 42 x 2 * 48 x 1 Therefore, the list of all factor pairs of the number 84 is: 1 x 84 2 x 42 3 x 28 4 x 21 6 x 14 8 x 11 12 x 8 14 x 7 16 x 6 21 x 4 28 x 3 42 x 2 48 x 1
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.
CodeLlama 7B:
The factor pairs of the number 36 are: * 1 and 36 * 2 and 18 * 3 and 12 * 4 and 9 * 6 and 6 * 8 and 3 * 12 and 1 Therefore, the list of factor pairs of 36 is: * 1 and 36 * 2 and 18 * 3 and 12 * 4 and 9 * 6 and 6 * 8 and 3 * 12 and 1
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: What are all the factor pairs of 85?
CodeLlama 7B:
The factor pairs of 85 are: * 1 x 85 * 3 x 29 * 5 x 17 * 7 x 13 * 9 x 11 * 11 x 8 * 13 x 6 * 15 x 5 * 17 x 4 * 19 x 3 * 23 x 2 * 29 x 1 Note that each factor pair is a pair of numbers that multiply together to give 85. The first number in each pair is the factor, and the second number is the multiplier.
Expected answer: [(1, 85), (5, 17)]
Correct? No
Problem: Identify all factor pairs of the number 34.
CodeLlama 7B:
The factor pairs of the number 34 are: * 1 and 34 * 2 and 17 * 3 and 11 * 6 and 6 * 7 and 4 * 14 and 1 Therefore, the factors of 34 are 1, 2, 3, 6, 7, 14.
Expected answer: [(1, 34), (2, 17)]
Correct? No
Problem: Determine all factor pairs of 88.
CodeLlama 7B:
The prime factorization of 88 is: 88 = 2 x 2 x 7 Therefore, the factor pairs of 88 are: (2, 28) (2, 44) (7, 12) So, the factor pairs of 88 are (2, 28), (2, 44), and (7, 12).
Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]
Correct? No
Problem: Write down all factor pairs for the number 83.
CodeLlama 7B:
The prime factorization of 83 is: 83 = 3 x 3 x 3 x 11 Therefore, the factor pairs for 83 are: (3, 3) (3, 11) (11, 3)
Expected answer: [(1, 83)]
Correct? No
Problem: What are all the factor pairs of 60?
CodeLlama 7B:
The factor pairs of 60 are: * 1 and 60 * 2 and 30 * 3 and 20 * 4 and 15 * 5 and 12 * 6 and 10 * 8 and 8 * 10 and 6 * 12 and 5 * 15 and 4 * 20 and 3 * 30 and 2 * 60 and 1
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? No
Problem: Write down all factor pairs of 58.
CodeLlama 7B:
The factor pairs of 58 are: * 1 x 58 * 2 x 29 * 3 x 19 * 6 x 9 * 7 x 7 * 14 x 3 * 29 x 1 Therefore, the list of factor pairs of 58 is: 1 x 58 2 x 29 3 x 19 6 x 9 7 x 7 14 x 3 29 x 1
Expected answer: [(1, 58), (2, 29)]
Correct? No
Problem: Please list all of the factor pairs of the number 40.
CodeLlama 7B:
The factor pairs of the number 40 are: * 1 and 40 * 2 and 20 * 4 and 10 * 5 and 8 * 10 and 4 * 20 and 2 Therefore, the list of factor pairs of the number 40 is: 1, 40 2, 20 4, 10 5, 8 10, 4 20, 2
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
CodeLlama 7B:
The factor pairs of 91 are: * 1 and 91 * 3 and 30 * 9 and 10 * 11 and 8 * 23 and 2 * 37 and 1 Therefore, the list of factor pairs of 91 is: 1, 91 3, 30 9, 10 11, 8 23, 2 37, 1
Expected answer: [(1, 91), (7, 13)]
Correct? No
Problem: List all the factor pairs of 76.
CodeLlama 7B:
The factor pairs of 76 are: * 1 x 76 * 2 x 38 * 3 x 26 * 4 x 19 * 6 x 14 * 8 x 11 * 12 x 7 * 14 x 5 * 16 x 4 * 22 x 2 * 28 x 1 Therefore, the list of factor pairs of 76 is: 1 x 76 2 x 38 3 x 26 4 x 19 6 x 14 8 x 11 12 x 7 14 x 5 16 x 4 22 x 2 28 x 1
Expected answer: [(1, 76), (2, 38), (4, 19)]
Correct? No
Problem: What are all the factor pairs of 13?
CodeLlama 7B:
The factor pairs of 13 are: * 1 and 13 * 2 and 6 * 3 and 4 * 5 and 2 * 7 and 1 * 11 and 1 So, the factor pairs of 13 are (1,13), (2,6), (3,4), (5,2), (7,1), and (11,1).
Expected answer: [(1, 13)]
Correct? No
Problem: Find all factor pairs of 64.
CodeLlama 7B:
The factor pairs of 64 are: * 1 and 64 * 2 and 32 * 4 and 16 * 8 and 8 * 16 and 4 * 32 and 2 * 64 and 1
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: What are all factor pairs of 8?
CodeLlama 7B:
The factor pairs of 8 are: * 1 and 8 * 2 and 4 * 4 and 2 * 8 and 1 So, the list of all factor pairs of 8 is: * 1, 8 * 2, 4 * 4, 2 * 8, 1
Expected answer: [(1, 8), (2, 4)]
Correct? Yes
Problem: List all the factor pairs of 80.
CodeLlama 7B:
The factor pairs of 80 are: * 1 x 80 * 2 x 40 * 3 x 26 * 4 x 20 * 5 x 16 * 6 x 12 * 8 x 10 * 10 x 8 * 12 x 6 * 15 x 5 * 20 x 4 * 24 x 3 * 25 x 2 * 30 x 2 * 32 x 1 * 40 x 1 * 48 x 1 * 50 x 1 * 60 x 1 * 64 x 1 * 72 x 1 * 80 x 1 There are 16 factor pairs of 80.
Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]
Correct? No
Problem: Calculate all the factor pairs for the number 96.
CodeLlama 7B:
The number 96 can be factored into the following pairs: * 2^4 x 3^2 * 2^3 x 3^3 * 2^2 x 3^4 * 3^5 Therefore, the factor pairs for the number 96 are: * 2^4, 3^2 * 2^3, 3^3 * 2^2, 3^4 * 3^5
Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]
Correct? No
Problem: Calculate all factor pairs of 19.
CodeLlama 7B:
The prime factorization of 19 is 19 = 3 x 3 x 3. Therefore, the factor pairs of 19 are: * 1 x 19 * 3 x 6 * 3 x 3 x 3 So, the factor pairs of 19 are: * (1, 19) * (3, 6) * (3, 3)
Expected answer: [(1, 19)]
Correct? No
Problem: What are all factor pairs of 37?
CodeLlama 7B:
The factor pairs of 37 are: * 1 and 37 * 2 and 18 * 3 and 12 * 4 and 9 * 5 and 7 * 6 and 6 * 7 and 5 * 8 and 4 * 9 and 3 * 10 and 2 * 11 and 1 Therefore, the list of all factor pairs of 37 is: 1, 37 2, 18 3, 12 4, 9 5, 7 6, 6 7, 5 8, 4 9, 3 10, 2 11, 1
Expected answer: [(1, 37)]
Correct? No
Problem: Write down all factor pairs of the number 6.
CodeLlama 7B:
The factor pairs of the number 6 are: * 1 x 6 = 6 * 2 x 3 = 6 * 3 x 2 = 6 * 4 x 1 = 6 * 6 x 1 = 6
Expected answer: [(1, 6), (2, 3)]
Correct? No
Problem: List down all the factor pairs of 58.
CodeLlama 7B:
The factor pairs of 58 are: * 1 and 58 * 2 and 29 * 3 and 19 * 6 and 9 * 7 and 7 * 14 and 5 * 28 and 1 Therefore, the list of factor pairs of 58 is: 1, 58 2, 29 3, 19 6, 9 7, 7 14, 5 28, 1
Expected answer: [(1, 58), (2, 29)]
Correct? No
Problem: List all the factor pairs of the number 81.
CodeLlama 7B:
The factor pairs of the number 81 are: * 1 x 81 * 3 x 27 * 9 x 9 * 11 x 8 * 13 x 6 * 17 x 4 * 19 x 3 * 23 x 2 * 29 x 1
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? No
Problem: Please list all factor pairs of the number 85.
CodeLlama 7B:
Sure! Here are all the factor pairs of the number 85: 1. 1 x 85 = 85 2. 3 x 29 = 85 3. 5 x 17 = 85 4. 7 x 13 = 85 5. 9 x 11 = 85 6. 11 x 7 = 85 7. 13 x 6 = 85 8. 15 x 5 = 85 9. 17 x 4 = 85 10. 19 x 3 = 85 11. 21 x 2 = 85 12. 23 x 1 = 85 There are 12 factor pairs of the number 85.
Expected answer: [(1, 85), (5, 17)]
Correct? No
Problem: Write down all factor pairs for the number 93.
CodeLlama 7B:
The number 93 can be factored into the following pairs: * 3 x 31 * 9 x 11 * 3 x 3 x 3 * 9 x 3 * 11 x 9 Therefore, the factor pairs for the number 93 are: * 3 x 31 * 9 x 11 * 3 x 3 x 3 * 9 x 3 * 11 x 9
Expected answer: [(1, 93), (3, 31)]
Correct? No
Problem: Identify all factor pairs of 24.
CodeLlama 7B:
The factor pairs of 24 are: * 1 and 24 * 2 and 12 * 3 and 8 * 4 and 6 * 6 and 4 * 8 and 3 * 12 and 2 Therefore, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: List all the factor pairs of 97.
CodeLlama 7B:
The factor pairs of 97 are: * 1 x 97 * 3 x 33 * 9 x 11 * 13 x 7 * 29 x 1 Therefore, the list of factor pairs of 97 is: 1 x 97 3 x 33 9 x 11 13 x 7 29 x 1
Expected answer: [(1, 97)]
Correct? No
Problem: Identify all factor pairs of the number 57.
CodeLlama 7B:
The factor pairs of the number 57 are: * 1 and 57 * 2 and 28 * 3 and 19 * 4 and 14 * 6 and 9 * 9 and 7 * 14 and 5 * 19 and 3 * 28 and 2 * 57 and 1
Expected answer: [(1, 57), (3, 19)]
Correct? No
Problem: List down all the factor pairs of 19.
CodeLlama 7B:
The factor pairs of 19 are: 1. 1 x 19 2. 3 x 6 3. 5 x 3 4. 9 x 2 5. 11 x 1 6. 13 x 1 7. 17 x 1 Therefore, the list of all factor pairs of 19 is: 1 x 19 3 x 6 5 x 3 9 x 2 11 x 1 13 x 1 17 x 1
Expected answer: [(1, 19)]
Correct? No
Problem: What are all factor pairs of 38?
CodeLlama 7B:
The factor pairs of 38 are: * 1 and 38 * 2 and 19 * 3 and 13 * 6 and 6 * 9 and 9 * 18 and 1 * 36 and 1 Therefore, the list of all factor pairs of 38 is: 1, 38 2, 19 3, 13 6, 6 9, 9 18, 1 36, 1
Expected answer: [(1, 38), (2, 19)]
Correct? No
Problem: Find all the factor pairs of the number 6.
CodeLlama 7B:
The factor pairs of the number 6 are: * 1 and 6 * 2 and 3 * 3 and 2 * 6 and 1
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: Write down all factor pairs of 17.
CodeLlama 7B:
The factor pairs of 17 are: 17 = 1 x 17 17 = 2 x 8 17 = 3 x 5 17 = 4 x 4 17 = 5 x 3 17 = 6 x 2 17 = 7 x 2 17 = 8 x 1 17 = 9 x 1 17 = 10 x 1 17 = 11 x 1 17 = 12 x 1 17 = 13 x 1 17 = 14 x 1 17 = 15 x 1 17 = 16 x 1 Therefore, the factor pairs of 17 are: 1 x 17 2 x 8 3 x 5 4 x 4 5 x 3 6 x 2 7 x 2 8 x 1 9 x 1 10 x 1 11 x 1 12 x 1 13 x 1 14 x 1 15 x 1 16 x 1
Expected answer: [(1, 17)]
Correct? No
Problem: List all factor pairs of 45.
CodeLlama 7B:
The factor pairs of 45 are: * 1 and 45 * 3 and 15 * 5 and 9 * 7 and 6 * 11 and 4 * 13 and 3 * 15 and 2 * 17 and 1 Therefore, the list of factor pairs of 45 is: 1, 45 3, 15 5, 9 7, 6 11, 4 13, 3 15, 2 17, 1
Expected answer: [(1, 45), (3, 15), (5, 9)]
Correct? No
Problem: Write down all factor pairs of 36.
CodeLlama 7B:
The factor pairs of 36 are: * 1 x 36 = 36 * 2 x 18 = 36 * 3 x 12 = 36 * 4 x 9 = 36 * 6 x 6 = 36 * 8 x 4 = 36 * 12 x 3 = 36 * 18 x 2 = 36 * 24 x 1 = 36 Therefore, the factor pairs of 36 are: * 1 x 36 * 2 x 18 * 3 x 12 * 4 x 9 * 6 x 6 * 8 x 4 * 12 x 3 * 18 x 2 * 24 x 1
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: What are all factor pairs of 89?
CodeLlama 7B:
The factor pairs of 89 are: * 1 x 89 * 3 x 29 * 9 x 9 * 11 x 8 * 13 x 6 * 17 x 4 * 19 x 3 * 23 x 2 * 29 x 1 Therefore, the list of all factor pairs of 89 is: 1, 3, 9, 11, 13, 17, 19, 23, 29
Expected answer: [(1, 89)]
Correct? No
Problem: List all the factor pairs of 89.
CodeLlama 7B:
The factor pairs of 89 are: * 1 x 89 * 3 x 29 * 9 x 9 * 11 x 8 * 13 x 6 * 17 x 4 * 19 x 3 * 23 x 2 * 29 x 1 Therefore, the list of factor pairs of 89 is: 1 x 89 3 x 29 9 x 9 11 x 8 13 x 6 17 x 4 19 x 3 23 x 2 29 x 1
Expected answer: [(1, 89)]
Correct? No
Problem: List all the factor pairs of the number 44.
CodeLlama 7B:
The factor pairs of the number 44 are: * 1 and 44 * 2 and 22 * 3 and 14 * 6 and 7 * 11 and 4 * 22 and 2 Therefore, the list of factor pairs of the number 44 is: 1. 1 and 44 2. 2 and 22 3. 3 and 14 4. 6 and 7 5. 11 and 4 6. 22 and 2
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? No
Problem: Identify all factor pairs of the number 36.
CodeLlama 7B:
The factor pairs of the number 36 are: * 1 and 36 * 2 and 18 * 3 and 12 * 4 and 9 * 6 and 6 * 8 and 3 * 12 and 1 Therefore, the list of factor pairs of 36 is: * 1 and 36 * 2 and 18 * 3 and 12 * 4 and 9 * 6 and 6 * 8 and 3 * 12 and 1
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? No
Problem: List all possible factor pairs of the number 35.
CodeLlama 7B:
The number 35 can be factored into the following pairs: * 35 = 5 x 7 * 35 = 7 x 5 * 35 = 3 x 11 * 35 = 11 x 3 * 35 = 5 x 7 x 1 * 35 = 7 x 5 x 1 * 35 = 3 x 11 x 1 * 35 = 11 x 3 x 1 Note that these are all the possible factor pairs of 35, and there are no other possible factor pairs.
Expected answer: [(1, 35), (5, 7)]
Correct? No
Problem: Write down all factor pairs of 22.
CodeLlama 7B:
The factor pairs of 22 are: * 1 and 22 * 2 and 11 * 3 and 7 * 4 and 5 * 6 and 4 * 7 and 3 * 8 and 2 * 11 and 2 * 14 and 1 * 22 and 1
Expected answer: [(1, 22), (2, 11)]
Correct? No
Problem: Find all the factor pairs of 40.
CodeLlama 7B:
The factor pairs of 40 are: * 1 and 40 * 2 and 20 * 4 and 10 * 5 and 8 * 10 and 4 * 20 and 2 Therefore, the list of factor pairs of 40 is: 1, 40 2, 20 4, 10 5, 8 10, 4 20, 2
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 64.
CodeLlama 7B:
The factor pairs of the number 64 are: * 1 and 64 * 2 and 32 * 4 and 16 * 8 and 8 * 16 and 4 * 32 and 2 * 64 and 1
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: Determine all factor pairs of 30.
CodeLlama 7B:
The prime factorization of 30 is 2 × 3 × 5. Therefore, the factor pairs of 30 are: * 2 × 15 * 3 × 10 * 5 × 6
Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]
Correct? No
Problem: List all factor pairs of 59.
CodeLlama 7B:
The factor pairs of 59 are: * 1 and 59 * 3 and 19 * 5 and 11 * 7 and 8 * 9 and 7 * 11 and 5 * 13 and 4 * 17 and 2 * 19 and 3 * 23 and 1 * 29 and 1 * 31 and 1 * 37 and 1 * 41 and 1 * 43 and 1 * 47 and 1 * 53 and 1 * 59 and 1 Note that each factor pair is a pair of numbers that multiply together to give the original number. For example, 1 and 59 are a factor pair because 1 x 59 = 59.
Expected answer: [(1, 59)]
Correct? No
Problem: List all factor pairs of 18.
CodeLlama 7B:
The factor pairs of 18 are: * 1 x 18 * 2 x 9 * 3 x 6 * 4 x 6 * 6 x 3 * 9 x 2
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? No
Problem: Please list all the factor pairs of 61.
CodeLlama 7B:
The factor pairs of 61 are: * 1 and 61 * 3 and 20 * 7 and 8 * 9 and 7 * 11 and 5 * 13 and 4 * 17 and 2 * 19 and 1 Therefore, the list of factor pairs of 61 is: 1, 61 3, 20 7, 8 9, 7 11, 5 13, 4 17, 2 19, 1
Expected answer: [(1, 61)]
Correct? No
Problem: What are all of the factor pairs of 86?
CodeLlama 7B:
The factor pairs of 86 are: * 1 x 86 * 2 x 43 * 3 x 29 * 4 x 22 * 5 x 18 * 6 x 14 * 7 x 11 * 8 x 9 * 9 x 8 * 10 x 7 * 11 x 6 * 12 x 5 * 13 x 4 * 14 x 3 * 15 x 2 * 16 x 1 Therefore, the factor pairs of 86 are: * 1 x 86 * 2 x 43 * 3 x 29 * 4 x 22 * 5 x 18 * 6 x 14 * 7 x 11 * 8 x 9 * 9 x 8 * 10 x 7 * 11 x 6 * 12 x 5 * 13 x 4 * 14 x 3 * 15 x 2 * 16 x 1
Expected answer: [(1, 86), (2, 43)]
Correct? No
Problem: List out all factor pairs of 57.
CodeLlama 7B:
Here are all the factor pairs of 57: 1. 1 x 57 2. 2 x 28 3. 3 x 19 4. 4 x 14 5. 5 x 11 6. 6 x 9 7. 7 x 7 8. 8 x 6 9. 9 x 5 10. 11 x 4 11. 12 x 3 12. 13 x 2 13. 14 x 1 14. 17 x 1 15. 19 x 1 16. 28 x 1 Note that some of these pairs may be the same, as the multiplication operation is commutative (i.e., the order of the factors does not affect the result).
Expected answer: [(1, 57), (3, 19)]
Correct? No
Problem: What are all factor pairs of 38?
CodeLlama 7B:
The factor pairs of 38 are: * 1 and 38 * 2 and 19 * 3 and 13 * 6 and 6 * 9 and 9 * 18 and 1 * 36 and 1 Therefore, the list of all factor pairs of 38 is: 1, 38 2, 19 3, 13 6, 6 9, 9 18, 1 36, 1
Expected answer: [(1, 38), (2, 19)]
Correct? No
Problem: Please list all factor pairs of 27.
CodeLlama 7B:
Sure! Here are all the factor pairs of 27: 1. 1 x 27 = 27 2. 3 x 9 = 27 3. 9 x 3 = 27 4. 7 x 4 = 27 5. 4 x 7 = 27 6. 2 x 13 = 27 7. 13 x 2 = 27 So, there are 7 factor pairs of 27.
Expected answer: [(1, 27), (3, 9)]
Correct? No
Problem: List all the factor pairs of the number 78.
CodeLlama 7B:
The factor pairs of the number 78 are: * 1 x 78 * 2 x 39 * 3 x 26 * 4 x 19 * 6 x 13 * 9 x 8 * 18 x 1 Therefore, the list of factor pairs of the number 78 is: 1. 1 x 78 2. 2 x 39 3. 3 x 26 4. 4 x 19 5. 6 x 13 6. 9 x 8 7. 18 x 1
Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]
Correct? No
Problem: List out all the factor pairs of 23.
CodeLlama 7B:
The factor pairs of 23 are: * 1 and 23 * 3 and 8 * 9 and 3 * 11 and 2 * 13 and 1 * 17 and 1 * 19 and 1 * 23 and 1 Therefore, the list of factor pairs of 23 is: 1, 23 3, 8 9, 3 11, 2 13, 1 17, 1 19, 1 23, 1
Expected answer: [(1, 23)]
Correct? No
Problem: List down all the factor pairs of 2.
CodeLlama 7B:
The factor pairs of 2 are: * 1 and 2 * 2 and 1 Therefore, the list of all factor pairs of 2 is: * 1 and 2 * 2 and 1
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
CodeLlama 7B:
The factor pairs of 49 are: * 1 and 49 * 2 and 24 * 3 and 16 * 6 and 8 * 9 and 7 * 18 and 4 * 36 and 2 * 49 and 1
Expected answer: [(1, 49), (7, 7)]
Correct? No
Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.
CodeLlama 7B:
There are three distinct pairs of factors that can multiply to give the number 93: 1. 3 x 31 2. 9 x 10 3. 11 x 8
Expected answer: [(1, 93), (3, 31)]
Correct? No