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Qwen2-Math 72B on 4.OA.B.4

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

Problem: Find all factor pairs of 64.

Qwen2-Math 72B: 

 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? No

🔗 Problem

Problem: List all the factor pairs of 18.

Qwen2-Math 72B: 

 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

Problem: Find all factor pairs of 28.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of the number 48.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 7.

Qwen2-Math 72B: 

 Reasoning: The only factor pair of 7 is (1, 7).
### Answer: (1, 7)

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

Qwen2-Math 72B: 

 Reasoning: The factors of 98 are 1, 2, 7, 14, 49, and 98.
The pairs of factors are (1, 98), (2, 49), (7, 14).
### Answer: (1, 98), (2, 49), (7, 14)

Expected answer: [(1, 98), (2, 49), (7, 14)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 26.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 59.

Qwen2-Math 72B: 

 Reasoning: 59 is a prime number, so its only factor pairs are (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 20 are 1 and 20, 2 and 10, 4 and 5.
### Answer: 1 and 20, 2 and 10, 4 and 5

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 20.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 20 are 1 and 20, 2 and 10, 4 and 5.
### Answer: 1 and 20, 2 and 10, 4 and 5

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Please list down all factor pairs of 13.

Qwen2-Math 72B: 

 Reasoning: The number 13 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 13 is (1, 13).
### Answer: (1, 13)

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of 76.

Qwen2-Math 72B: 

 Reasoning: 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

Problem: Write down all factor pairs of 50.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 50 are 1 and 50, 2 and 25, 5 and 10.
### Answer: 1 and 50, 2 and 25, 5 and 10

Expected answer: [(1, 50), (2, 25), (5, 10)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 76.

Qwen2-Math 72B: 

 Reasoning: 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

Problem: List all factor pairs of 56.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 56 are (1, 56), (2, 28), (4, 14), (7, 8).
### Answer: (1, 56), (2, 28), (4, 14), (7, 8)

Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 44.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of 5.

Qwen2-Math 72B: 

 Reasoning: The factors of 5 are 1 and 5.
### Answer: 1 and 5

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 95 are (1, 95) and (5, 19).
### Answer: (1, 95), (5, 19)

Expected answer: [(1, 95), (5, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

Qwen2-Math 72B: 

 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

Problem: Compute all the factor pairs of the number 59.

Qwen2-Math 72B: 

 Reasoning: The number 59 is a prime number, so it has only one factor pair: (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 3?

Qwen2-Math 72B: 

 Reasoning: The factors of 3 are 1 and 3.
### Answer: 1 and 3

Expected answer: [(1, 3)]

Correct? Yes

🔗 Problem

Problem: Could you list all factor pairs of 51?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 51 are 1 and 51, 3 and 17.
### Answer: 1 and 51, 3 and 17

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 47.

Qwen2-Math 72B: 

 Reasoning: The number 47 is a prime number, which means it has only two factors: 1 and itself.
### Answer: 1 and 47

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 51 are 1 and 51, 3 and 17.
### Answer: 1 and 51, 3 and 17

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of 43.

Qwen2-Math 72B: 

 Reasoning: The only factor pair of 43 is (1, 43) because 43 is a prime number.
### Answer: (1, 43)

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

Qwen2-Math 72B: 

 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

Problem: Please list all the factors of the number 2.

Qwen2-Math 72B: 

 Reasoning: The factors of a number are the numbers that divide evenly into it. The number 2 is a prime number, which means it has only two factors: 1 and itself.
### Answer: 1, 2

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Qwen2-Math 72B: 

 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

Problem: Identify all factor pairs of 17.

Qwen2-Math 72B: 

 Reasoning: 17 is a prime number, so its only factor pairs are (1, 17).
### Answer: (1, 17)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Qwen2-Math 72B: 

 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

Problem: Identify all factor pairs of the number 91.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of the number 97.

Qwen2-Math 72B: 

 Reasoning: 97 is a prime number, so its only factor pairs are (1, 97).
### Answer: (1, 97)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 16 are 1 and 16, 2 and 8, and 4 and 4.
### Answer: 1 and 16, 2 and 8, and 4 and 4

Expected answer: [(1, 16), (2, 8), (4, 4)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of the number 21.

Qwen2-Math 72B: 

 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

Problem: Could you determine all the factor pairs of 72?

Qwen2-Math 72B: 

 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

Problem: Determine all the factor pairs of 38.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of 94.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of 32.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 32 are (1, 32), (2, 16), (4, 8).
### Answer: (1, 32), (2, 16), (4, 8)

Expected answer: [(1, 32), (2, 16), (4, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 33.

Qwen2-Math 72B: 

 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

Problem: Write down all the factor pairs of 59.

Qwen2-Math 72B: 

 Reasoning: 59 is a prime number, so its only factor pairs are (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 54.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 54 are (1, 54), (2, 27), (3, 18), (6, 9).
### Answer: (1, 54), (2, 27), (3, 18), (6, 9)

Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

Qwen2-Math 72B: 

 Reasoning: The factors of 85 are 1, 5, 17, and 85.
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

Problem: Identify all the factor pairs of the number 56.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of the number 24.

Qwen2-Math 72B: 

 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

Problem: What are all the factor pairs of the number 84?

Qwen2-Math 72B: 

 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

Problem: Identify all factor pairs of the number 36.

Qwen2-Math 72B: 

 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

Problem: What are all the factor pairs of 85?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 85 are (1, 85) and (5, 17).
### Answer: (1, 85) and (5, 17)

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

Qwen2-Math 72B: 

 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

Problem: Determine all factor pairs of 88.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs for the number 83.

Qwen2-Math 72B: 

 Reasoning: 83 is a prime number, so its only factor pairs are (1, 83).
### Answer: (1, 83)

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 58.

Qwen2-Math 72B: 

 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

Problem: Please list all of the factor pairs of the number 40.

Qwen2-Math 72B: 

 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

Problem: Identify all the factor pairs of 91.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 91 are (1, 91) and (7, 13).
### Answer: (1, 91) and (7, 13)

Expected answer: [(1, 91), (7, 13)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

Qwen2-Math 72B: 

 Reasoning: 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

Problem: What are all the factor pairs of 13?

Qwen2-Math 72B: 

 Reasoning: 13 is a prime number, so its only factors are 1 and 13.
### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

Qwen2-Math 72B: 

 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? No

🔗 Problem

Problem: What are all factor pairs of 8?

Qwen2-Math 72B: 

 Reasoning: The factors of 8 are 1, 2, 4, and 8. The factor pairs of 8 are (1, 8) and (2, 4).
### Answer: (1, 8) and (2, 4)

Expected answer: [(1, 8), (2, 4)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 80.

Qwen2-Math 72B: 

 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

Problem: Calculate all the factor pairs for the number 96.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), and (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

Problem: Calculate all factor pairs of 19.

Qwen2-Math 72B: 

 Reasoning: The factors of 19 are 1 and 19.
The factor pairs of 19 are (1, 19).
### Answer: (1, 19)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

Qwen2-Math 72B: 

 Reasoning: 37 is a prime number, so its only factor pairs are (1, 37).
### Answer: (1, 37)

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of the number 6.

Qwen2-Math 72B: 

 Reasoning: The number 6 is a product of 1 and 6, and also a product of 2 and 3.
The factor pairs of 6 are 1 and 6, 2 and 3.
### Answer: 1 and 6, 2 and 3

Expected answer: [(1, 6), (2, 3)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of the number 81.

Qwen2-Math 72B: 

 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

Problem: Please list all factor pairs of the number 85.

Qwen2-Math 72B: 

 Reasoning: The factors of 85 are 1, 5, 17, and 85.
The factor pairs of 85 are (1, 85) and (5, 17).
### Answer: (1, 85) and (5, 17)

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs for the number 93.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 93 are (1, 93) and (3, 31).
### Answer: (1, 93), (3, 31)

Expected answer: [(1, 93), (3, 31)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of 97.

Qwen2-Math 72B: 

 Reasoning: 97 is a prime number, so its only factor pairs are (1, 97).
### Answer: (1, 97)

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Qwen2-Math 72B: 

 Reasoning: The factors of 57 are 1, 3, 19, and 57.
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

Problem: List down all the factor pairs of 19.

Qwen2-Math 72B: 

 Reasoning: The number 19 is a prime number, which means it has only two factors: 1 and itself. Therefore, the factor pairs of 19 are (1, 19).
### Answer: (1, 19)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 38 are (1, 38) and (2, 19).
### Answer: (1, 38) and (2, 19)

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of the number 6.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 6 are (1,6) and (2,3).
### Answer: (1,6) and (2,3)

Expected answer: [(1, 6), (2, 3)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 17.

Qwen2-Math 72B: 

 Reasoning: 17 is a prime number, so the only factor pairs are (1, 17) and (17, 1).
### Answer: (1, 17) and (17, 1)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 36.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 36 are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6.
### Answer: 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 89?

Qwen2-Math 72B: 

 Reasoning: 89 is a prime number, so its only factor pairs are (1, 89).
### Answer: (1, 89)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 89.

Qwen2-Math 72B: 

 Reasoning: 89 is a prime number, so its only factor pairs are (1, 89).
### Answer: (1, 89)

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 44.

Qwen2-Math 72B: 

 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

Problem: Identify all factor pairs of the number 36.

Qwen2-Math 72B: 

 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

Problem: List all possible factor pairs of the number 35.

Qwen2-Math 72B: 

 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

Problem: Write down all factor pairs of 22.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 22 are 1 and 22, 2 and 11.
### Answer: 1 and 22, 2 and 11

Expected answer: [(1, 22), (2, 11)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of the number 64.

Qwen2-Math 72B: 

 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

Problem: Determine all factor pairs of 30.

Qwen2-Math 72B: 

 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

Problem: List all factor pairs of 59.

Qwen2-Math 72B: 

 Reasoning: 59 is a prime number, so its only factor pairs are (1, 59).
### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

Qwen2-Math 72B: 

 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

Problem: Please list all the factor pairs of 61.

Qwen2-Math 72B: 

 Reasoning: 61 is a prime number, so its only factor pairs are (1, 61).
### Answer: (1, 61)

Expected answer: [(1, 61)]

Correct? Yes

🔗 Problem

Problem: What are all of the factor pairs of 86?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 86 are (1, 86) and (2, 43).
### Answer: (1, 86) and (2, 43)

Expected answer: [(1, 86), (2, 43)]

Correct? Yes

🔗 Problem

Problem: List out all factor pairs of 57.

Qwen2-Math 72B: 

 Reasoning: 1*57 = 57
3*19 = 57
### Answer: (1, 57), (3, 19)

Expected answer: [(1, 57), (3, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 38 are (1, 38) and (2, 19).
### Answer: (1, 38) and (2, 19)

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

Qwen2-Math 72B: 

 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

Problem: List all the factor pairs of the number 78.

Qwen2-Math 72B: 

 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

Problem: List out all the factor pairs of 23.

Qwen2-Math 72B: 

 Reasoning: The number 23 is a prime number, which means it has only two factors: 1 and itself. Therefore, the only factor pair of 23 is (1, 23).
### Answer: (1, 23)

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 2 are (1, 2).
### Answer: (1, 2)

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

Qwen2-Math 72B: 

 Reasoning: The factor pairs of 49 are 1 and 49, 7 and 7.
### Answer: 1 and 49, 7 and 7

Expected answer: [(1, 49), (7, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.

Qwen2-Math 72B: 

 Reasoning: The factors of 93 are 1, 3, 31, and 93. The distinct pairs of factors that can multiply to give 93 are (1, 93) and (3, 31).
### Answer: (1, 93), (3, 31)

Expected answer: [(1, 93), (3, 31)]

Correct? Yes