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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: List all the factor pairs of 18.
Qwen2-Math 7B:
Reasoning: The factor pairs of 18 are (1, 18), (2, 9), and (3, 6). ### Answer: (1, 18), (2, 9), (3, 6)
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Find all factor pairs of 28.
Qwen2-Math 7B:
Reasoning: The factor pairs 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 48 are (1, 48), (2, 24), (3, 16), (4, 12), and (6, 8). ### Answer: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? Yes
Problem: Write down all factor pairs of 7.
Qwen2-Math 7B:
Reasoning: The factor pairs of 7 are (1, 7) and (7, 1). ### Answer: (1, 7), (7, 1)
Expected answer: [(1, 7)]
Correct? Yes
Problem: Write down every pair of factors of 98.
Qwen2-Math 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).
Expected answer: [(1, 98), (2, 49), (7, 14)]
Correct? Yes
Problem: List all the factor pairs of the number 26.
Qwen2-Math 7B:
Reasoning: The factor pairs of 26 are (1, 26) and (2, 13). ### Answer: (1, 26), (2, 13)
Expected answer: [(1, 26), (2, 13)]
Correct? Yes
Problem: Write down all factor pairs of 59.
Qwen2-Math 7B:
Reasoning: The factors of 59 are 1 and 59, since 59 is a prime number. The factor pairs of 59 are (1, 59). ### Answer: (1, 59)
Expected answer: [(1, 59)]
Correct? Yes
Problem: Find out all factor pairs of 20.
Qwen2-Math 7B:
Reasoning: The factor pairs of 20 are (1, 20), (2, 10), and (4, 5). ### Answer: (1, 20), (2, 10), (4, 5)
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Write down all factor pairs of 20.
Qwen2-Math 7B:
Reasoning: The factor pairs of 20 are (1, 20), (2, 10), and (4, 5). ### Answer: (1, 20), (2, 10), (4, 5)
Expected answer: [(1, 20), (2, 10), (4, 5)]
Correct? Yes
Problem: Please list down all factor pairs of 13.
Qwen2-Math 7B:
Reasoning: The factor pairs of 13 are (1, 13) and (13, 1). ### Answer: (1, 13), (13, 1)
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 81.
Qwen2-Math 7B:
Reasoning: 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: List all factor pairs of 76.
Qwen2-Math 7B:
Reasoning: The factor pairs of 76 are (1, 76), (2, 38), and (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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 50 are (1, 50), (2, 25), (5, 10). ### Answer: (1, 50), (2, 25), (5, 10)
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: List all the factor pairs of the number 76.
Qwen2-Math 7B:
Reasoning: The factor pairs of 76 are (1, 76), (2, 38), and (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.
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 44 are (1, 44), (2, 22), and (4, 11). ### Answer: (1, 44), (2, 22), (4, 11)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: List all the factor pairs of 5.
Qwen2-Math 7B:
Reasoning: The factor pairs of 5 are (1, 5) and (5, 1). ### Answer: (1, 5), (5, 1)
Expected answer: [(1, 5)]
Correct? Yes
Problem: Identify all factor pairs of the number 95.
Qwen2-Math 7B:
Reasoning: The factor pairs of 95 are (1, 95) and (5, 19).
Expected answer: [(1, 95), (5, 19)]
Correct? Yes
Problem: Please list all the factor pairs of 36.
Qwen2-Math 7B:
Reasoning: 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: Compute all the factor pairs of the number 59.
Qwen2-Math 7B:
Reasoning: The factors of 59 are 1 and 59, since 59 is a prime number. The factor pairs of 59 are (1, 59). ### Answer: (1, 59)
Expected answer: [(1, 59)]
Correct? Yes
Problem: What are all the factor pairs of 3?
Qwen2-Math 7B:
Reasoning: The factor pairs of 3 are (1, 3) and (3, 1). ### Answer: (1, 3), (3, 1)
Expected answer: [(1, 3)]
Correct? Yes
Problem: Could you list all factor pairs of 51?
Qwen2-Math 7B:
Reasoning: The factor pairs of 51 are (1, 51) and (3, 17). ### Answer: (1, 51), (3, 17)
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 50.
Qwen2-Math 7B:
Reasoning: The factor pairs of 50 are (1, 50), (2, 25), (5, 10). ### Answer: (1, 50), (2, 25), (5, 10)
Expected answer: [(1, 50), (2, 25), (5, 10)]
Correct? Yes
Problem: Write down all factor pairs of 47.
Qwen2-Math 7B:
Reasoning: 47 is a prime number, so its only factor pairs are (1, 47) and (47, 1). ### Answer: (1, 47), (47, 1)
Expected answer: [(1, 47)]
Correct? Yes
Problem: Write down all factor pairs of 51.
Qwen2-Math 7B:
The factor pairs of 51 are (1, 51) and (3, 17).
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 60.
Qwen2-Math 7B:
Reasoning: The factor pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 43 are (1, 43) and (43, 1). ### Answer: (1, 43), (43, 1)
Expected answer: [(1, 43)]
Correct? Yes
Problem: List all factor pairs of 70.
Qwen2-Math 7B:
Reasoning: The factor pairs of 70 are (1, 70), (2, 35), (5, 14), and (7, 10). ### Answer: (1, 70), (2, 35), (5, 14), (7, 10)
Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]
Correct? Yes
Problem: Please list all the factors of the number 2.
Qwen2-Math 7B:
Reasoning: The factors of 2 are the numbers that can divide 2 without leaving a remainder. The factors of 2 are 1 and 2. ### Answer: 1, 2
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
Qwen2-Math 7B:
Reasoning: The factor pairs of 49 are (1, 49) and (7, 7). ### Answer: (1, 49), (7, 7)
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all factor pairs of 17.
Qwen2-Math 7B:
Reasoning: The factor pairs of 17 are (1, 17) and (17, 1). ### Answer: (1, 17), (17, 1)
Expected answer: [(1, 17)]
Correct? Yes
Problem: Find all the factor pairs of 35.
Qwen2-Math 7B:
Reasoning: The factor pairs of 35 are (1, 35) and (5, 7). ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Identify all factor pairs of the number 91.
Qwen2-Math 7B:
Reasoning: The factor pairs of 91 are (1, 91) and (7, 13).
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all factor pairs of the number 97.
Qwen2-Math 7B:
Reasoning: The number 97 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 97 is (1, 97). ### Answer: (1, 97)
Expected answer: [(1, 97)]
Correct? Yes
Problem: What are all the factor pairs of 16?
Qwen2-Math 7B:
Reasoning: The factor pairs of 16 are (1, 16), (2, 8), and (4, 4). ### 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 21 are (1, 21) and (3, 7). ### Answer: (1, 21), (3, 7)
Expected answer: [(1, 21), (3, 7)]
Correct? Yes
Problem: Could you determine all the factor pairs of 72?
Qwen2-Math 7B:
Reasoning: The factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9). ### Answer: (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)
Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]
Correct? Yes
Problem: Determine all the factor pairs of 38.
Qwen2-Math 7B:
Reasoning: The factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: List all the factor pairs of 94.
Qwen2-Math 7B:
Reasoning: The factor pairs of 94 are (1, 94) and (2, 47). ### Answer: (1, 94), (2, 47)
Expected answer: [(1, 94), (2, 47)]
Correct? Yes
Problem: List all factor pairs of 32.
Qwen2-Math 7B:
Reasoning: The factor pairs of 32 are (1, 32), (2, 16), and (4, 8). ### Answer: (1, 32), (2, 16), (4, 8)
Expected answer: [(1, 32), (2, 16), (4, 8)]
Correct? Yes
Problem: Identify all factor pairs of the number 33.
Qwen2-Math 7B:
Reasoning: The factor pairs of 33 are (1, 33) and (3, 11). ### Answer: (1, 33), (3, 11)
Expected answer: [(1, 33), (3, 11)]
Correct? Yes
Problem: Write down all the factor pairs of 59.
Qwen2-Math 7B:
Reasoning: The factors of 59 are 1 and 59, since 59 is a prime number. The factor pairs of 59 are (1, 59). ### Answer: (1, 59)
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all the factor pairs of the number 54.
Qwen2-Math 7B:
Reasoning: The factor pairs of 54 are (1, 54), (2, 27), (3, 18), and (6, 9). ### Answer: (1, 54), (2, 27), (3, 18), (6, 9)
Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]
Correct? Yes
Problem: Determine all factor pairs of the number 85.
Qwen2-Math 7B:
Reasoning: The factor pairs of 85 are (1, 85) and (5, 17). ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Identify all the factor pairs of the number 56.
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: The factor pairs of 84 are (1, 84), (2, 42), (3, 28), (4, 21), (6, 14), and (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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: What are all the factor pairs of 85?
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 34 are (1, 34) and (2, 17). ### Answer: (1, 34), (2, 17)
Expected answer: [(1, 34), (2, 17)]
Correct? Yes
Problem: Determine all factor pairs of 88.
Qwen2-Math 7B:
Reasoning: The factor pairs of 88 are (1, 88), (2, 44), (4, 22), and (8, 11). ### Answer: (1, 88), (2, 44), (4, 22), (8, 11)
Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]
Correct? Yes
Problem: Write down all factor pairs for the number 83.
Qwen2-Math 7B:
Reasoning: The number 83 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair for 83 is (1, 83). ### Answer: (1, 83)
Expected answer: [(1, 83)]
Correct? Yes
Problem: What are all the factor pairs of 60?
Qwen2-Math 7B:
Reasoning: The factor pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 15), (5, 12), and (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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 58 are (1, 58) and (2, 29). ### Answer: (1, 58), (2, 29)
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: Please list all of the factor pairs of the number 40.
Qwen2-Math 7B:
Reasoning: The factor pairs of 40 are (1, 40), (2, 20), (4, 10), and (5, 8). ### Answer: (1, 40), (2, 20), (4, 10), (5, 8)
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
Qwen2-Math 7B:
Reasoning: The factor pairs of 91 are (1, 91) and (7, 13). ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all the factor pairs of 76.
Qwen2-Math 7B:
Reasoning: The factor pairs of 76 are (1, 76), (2, 38), and (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?
Qwen2-Math 7B:
Reasoning: The factor pairs of 13 are (1, 13) and (13, 1). ### Answer: (1, 13), (13, 1)
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 64.
Qwen2-Math 7B:
Reasoning: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: What are all factor pairs of 8?
Qwen2-Math 7B:
Reasoning: The factor pairs of 8 are (1, 8), (2, 4), and (4, 2). ### Answer: (1, 8), (2, 4), (4, 2)
Expected answer: [(1, 8), (2, 4)]
Correct? Yes
Problem: List all the factor pairs of 80.
Qwen2-Math 7B:
Reasoning: The factor pairs of 80 are (1, 80), (2, 40), (4, 20), (5, 16), (8, 10). ### Answer: (1, 80), (2, 40), (4, 20), (5, 16), (8, 10)
Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]
Correct? Yes
Problem: Calculate all the factor pairs for the number 96.
Qwen2-Math 7B:
Reasoning: The factor pairs for 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), and (8, 12).
Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]
Correct? Yes
Problem: Calculate all factor pairs of 19.
Qwen2-Math 7B:
Reasoning: The factor pairs of 19 are (1, 19) and (19, 1). ### Answer: (1, 19), (19, 1)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 37?
Qwen2-Math 7B:
Reasoning: The factor pairs of 37 are (1, 37) and (37, 1). ### Answer: (1, 37), (37, 1)
Expected answer: [(1, 37)]
Correct? Yes
Problem: Write down all factor pairs of the number 6.
Qwen2-Math 7B:
Reasoning: The factor pairs of 6 are (1, 6) and (2, 3). ### Answer: (1, 6), (2, 3)
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: List down all the factor pairs of 58.
Qwen2-Math 7B:
Reasoning: The factor pairs of 58 are (1, 58) and (2, 29). ### Answer: (1, 58), (2, 29)
Expected answer: [(1, 58), (2, 29)]
Correct? Yes
Problem: List all the factor pairs of the number 81.
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 85 are (1, 85) and (5, 17). ### Answer: (1, 85), (5, 17)
Expected answer: [(1, 85), (5, 17)]
Correct? Yes
Problem: Write down all factor pairs for the number 93.
Qwen2-Math 7B:
Reasoning: The factor pairs for 93 are (1, 93) and (3, 31). ### Answer: (1, 93), (3, 31)
Expected answer: [(1, 93), (3, 31)]
Correct? Yes
Problem: Identify all factor pairs of 24.
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: The factors of 97 are 1 and 97, since 97 is a prime number. The factor pairs of 97 are (1, 97). ### Answer: (1, 97)
Expected answer: [(1, 97)]
Correct? Yes
Problem: Identify all factor pairs of the number 57.
Qwen2-Math 7B:
Reasoning: The factor pairs of 57 are (1, 57) and (3, 19).
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: List down all the factor pairs of 19.
Qwen2-Math 7B:
Reasoning: The factor pairs of 19 are (1, 19) and (19, 1). ### Answer: (1, 19), (19, 1)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Qwen2-Math 7B:
Reasoning: The factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Find all the factor pairs of the number 6.
Qwen2-Math 7B:
Reasoning: The factor pairs of 6 are (1, 6) and (2, 3). ### Answer: (1, 6), (2, 3)
Expected answer: [(1, 6), (2, 3)]
Correct? Yes
Problem: Write down all factor pairs of 17.
Qwen2-Math 7B:
Reasoning: The factor pairs of 17 are (1, 17) and (17, 1). ### Answer: (1, 17), (17, 1)
Expected answer: [(1, 17)]
Correct? Yes
Problem: List all factor pairs of 45.
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: 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?
Qwen2-Math 7B:
Reasoning: The factor pairs of 89 are (1, 89) and (89, 1). ### Answer: (1, 89), (89, 1)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of 89.
Qwen2-Math 7B:
Reasoning: The factor pairs of 89 are (1, 89) and (89, 1). ### Answer: (1, 89), (89, 1)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
Qwen2-Math 7B:
Reasoning: The factor pairs of 44 are (1, 44), (2, 22), and (4, 11). ### Answer: (1, 44), (2, 22), (4, 11)
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: Identify all factor pairs of the number 36.
Qwen2-Math 7B:
Reasoning: The factor pairs of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]
Correct? Yes
Problem: List all possible factor pairs of the number 35.
Qwen2-Math 7B:
Reasoning: The factors of 35 are 1, 5, 7, and 35. The factor pairs of 35 are (1, 35) and (5, 7). ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Write down all factor pairs of 22.
Qwen2-Math 7B:
Reasoning: The factor pairs of 22 are (1, 22) and (2, 11). ### Answer: (1, 22), (2, 11)
Expected answer: [(1, 22), (2, 11)]
Correct? Yes
Problem: Find all the factor pairs of 40.
Qwen2-Math 7B:
Reasoning: The factor pairs of 40 are (1, 40), (2, 20), (4, 10), and (5, 8). ### 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8). ### Answer: (1, 64), (2, 32), (4, 16), (8, 8)
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: Determine all factor pairs of 30.
Qwen2-Math 7B:
Reasoning: The factor pairs of 30 are (1, 30), (2, 15), (3, 10), and (5, 6). ### Answer: (1, 30), (2, 15), (3, 10), (5, 6)
Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]
Correct? Yes
Problem: List all factor pairs of 59.
Qwen2-Math 7B:
Reasoning: The factor pairs of 59 are (1, 59) and (59, 1). ### Answer: (1, 59), (59, 1)
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all factor pairs of 18.
Qwen2-Math 7B:
Reasoning: The factor pairs of 18 are (1, 18), (2, 9), and (3, 6). ### Answer: (1, 18), (2, 9), (3, 6)
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Please list all the factor pairs of 61.
Qwen2-Math 7B:
Reasoning: The factor pairs of 61 are (1, 61) and (61, 1). ### Answer: (1, 61), (61, 1)
Expected answer: [(1, 61)]
Correct? Yes
Problem: What are all of the factor pairs of 86?
Qwen2-Math 7B:
Reasoning: 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 57 are (1, 57) and (3, 19). ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Qwen2-Math 7B:
Reasoning: The factor pairs of 38 are (1, 38) and (2, 19). ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Please list all factor pairs of 27.
Qwen2-Math 7B:
Reasoning: The factor pairs of 27 are (1, 27) and (3, 9). ### Answer: (1, 27), (3, 9)
Expected answer: [(1, 27), (3, 9)]
Correct? Yes
Problem: List all the factor pairs of the number 78.
Qwen2-Math 7B:
Reasoning: The factor pairs of 78 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.
Qwen2-Math 7B:
Reasoning: The factor pairs of 23 are (1, 23) and (23, 1). ### Answer: (1, 23), (23, 1)
Expected answer: [(1, 23)]
Correct? Yes
Problem: List down all the factor pairs of 2.
Qwen2-Math 7B:
Reasoning: The factor pairs of 2 are (1, 2) and (2, 1). ### Answer: (1, 2), (2, 1)
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
Qwen2-Math 7B:
Reasoning: The factor pairs of 49 are (1, 49) and (7, 7). ### Answer: (1, 49), (7, 7)
Expected answer: [(1, 49), (7, 7)]
Correct? Yes
Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.
Qwen2-Math 7B:
Reasoning: The distinct pairs of factors that can multiply to give the number 93 are (1, 93) and (3, 31). ### Answer: (1, 93), (3, 31)
Expected answer: [(1, 93), (3, 31)]
Correct? Yes