Claude-3 Haiku 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: Find all factor pairs of 64.
Claude-3 Haiku:
To find all the factor pairs of 64, we need to find all the numbers that can divide 64 evenly. The factors of 64 are: 1, 2, 4, 8, 16, 32, 64 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.
Claude-3 Haiku:
To find all the factor pairs of 18, we need to find all the numbers that divide 18 evenly. The factors of 18 are: 1, 2, 3, 6, 9, 18 The factor pairs of 18 are: 1 and 18 2 and 9 3 and 6 ### Answer: 1 and 18, 2 and 9, 3 and 6
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Find all factor pairs of 28.
Claude-3 Haiku:
To find all the factor pairs of 28, we need to find all the numbers that divide 28 evenly. The factors of 28 are: 1, 2, 4, 7, 14, 28 The factor pairs of 28 are: (1, 28) (2, 14) (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.
Claude-3 Haiku:
To find all the factor pairs of 48, we need to find all the numbers that divide 48 evenly. The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 The factor pairs of 48 are: 1 and 48 2 and 24 3 and 16 4 and 12 6 and 8 ### Answer: 1 and 48, 2 and 24, 3 and 16, 4 and 12, 6 and 8
Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]
Correct? Yes
Problem: Write down all factor pairs of 7.
Claude-3 Haiku:
To find all the factor pairs of 7, we need to find all the numbers that can be multiplied together to get 7. The factors of 7 are: 1 and 7 -1 and -7 Therefore, the factor pairs of 7 are: (1, 7) (-1, -7) ### Answer: (1, 7), (-1, -7)
Expected answer: [(1, 7)]
Correct? Yes
Problem: Write down every pair of factors of 98.
Claude-3 Haiku:
To find all the pairs of factors of 98, we need to find all the numbers that divide 98 evenly. The factors of 98 are: 1, 2, 7, 14, 49, 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: List all the factor pairs of the number 26.
Claude-3 Haiku:
To find the factor pairs of a number, we need to find all the numbers that can divide the given number evenly. The factors of 26 are: 1 and 26 2 and 13 Therefore, the factor pairs of 26 are: (1, 26) (2, 13) ### Answer: (1, 26), (2, 13)
Expected answer: [(1, 26), (2, 13)]
Correct? Yes
Problem: Write down all factor pairs of 59.
Claude-3 Haiku:
To find all the factor pairs of 59, we need to find all the numbers that can divide 59 evenly. The factors of 59 are: 1 and 59 Therefore, the only factor pair of 59 is: 1, 59 ### Answer: 1, 59
Expected answer: [(1, 59)]
Correct? Yes
Problem: Find out all factor pairs of 20.
Claude-3 Haiku:
To find all the factor pairs of 20, we need to find all the numbers that divide 20 evenly. The factors of 20 are: 1, 2, 4, 5, 10, 20 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: Write down all factor pairs of 20.
Claude-3 Haiku:
To find all the factor pairs of 20, we need to find all the numbers that can divide 20 evenly. The factors of 20 are: 1, 2, 4, 5, 10, 20 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: Please list down all factor pairs of 13.
Claude-3 Haiku:
To find all the factor pairs of 13, we need to find all the numbers that can be multiplied together to get 13. The factors of 13 are: 1 and 13 -1 and -13 ### Answer: 1 and 13, -1 and -13
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 81.
Claude-3 Haiku:
To find all the factor pairs of 81, we need to find all the numbers that divide 81 evenly. The factors of 81 are: 1, 3, 9, 27, 81 The factor pairs of 81 are: (1, 81) (3, 27) (9, 9) ### Answer: (1, 81), (3, 27), (9, 9)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: List all factor pairs of 76.
Claude-3 Haiku:
To find all the factor pairs of 76, we need to find all the numbers that divide 76 evenly. The factors of 76 are: 1, 2, 4, 19, 38, 76 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.
Claude-3 Haiku:
To find all the factor pairs of 50, we need to find all the numbers that can divide 50 evenly. The factors of 50 are: 1, 2, 5, 10, 25, 50 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.
Claude-3 Haiku:
To find all the factor pairs of the number 76, we need to find all the numbers that divide 76 evenly. The factors of 76 are: 1, 2, 4, 19, 38, 76 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: List all factor pairs of 56.
Claude-3 Haiku:
To find all the factor pairs of 56, we need to find all the numbers that divide 56 evenly. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56 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: List all the factor pairs of the number 44.
Claude-3 Haiku:
To find all the factor pairs of the number 44, we need to find all the numbers that divide 44 evenly. The factors of 44 are: 1, 2, 4, 11, 22, 44 The factor pairs of 44 are: 1 and 44 2 and 22 4 and 11 ### Answer: 1 and 44, 2 and 22, 4 and 11
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: List all the factor pairs of 5.
Claude-3 Haiku:
To find the factor pairs of 5, we need to find all the numbers that can be multiplied together to get 5. The factors of 5 are: 1 and 5 5 and 1 Therefore, the factor pairs of 5 are: (1, 5) (5, 1) ### Answer: (1, 5), (5, 1)
Expected answer: [(1, 5)]
Correct? Yes
Problem: Identify all factor pairs of the number 95.
Claude-3 Haiku:
To find all the factor pairs of 95, we need to find all the numbers that divide 95 evenly. The factors of 95 are: 1, 5, 19, 95 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.
Claude-3 Haiku:
To find all the factor pairs of 36, we need to find all the numbers that can be multiplied together to get 36. The factor pairs of 36 are: 1 x 36 2 x 18 3 x 12 4 x 9 6 x 6 ### Answer: 1 x 36, 2 x 18, 3 x 12, 4 x 9, 6 x 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.
Claude-3 Haiku:
To find all the factor pairs of a number, we need to find all the numbers that can divide the given number evenly.
To find the factor pairs of 59, we can follow these steps:
1. Start with 1 as the first factor.
2. Divide 59 by the first factor to get the second factor.
3. Check if the second factor is a whole number. If it is, then the pair (first factor, second factor) is a factor pair.
4. Repeat the process, incrementing the first factor by 1 until the first factor is greater than the square root of 59.
Let's apply this process to find the factor pairs of 59:
1. First factor = 1
Second factor = 59 / 1 = 59
This is a factor pair: (1, 59)
2. First factor = 2
Second factor = 59 / 2 = 29.5
This is not a factor pair because 29.5 is not a whole number.
3. First factor = 3
Second factor = 59 / 3 = 19.67
This is not a factor pair because 19.67 is not a whole number.
4. First factor = 4
Second factor = 59 / 4 = 14.75
This is not a factor pair because 14.75 is not a whole number.
5. First factor = 5
Second factor = 59 / 5 = 11.8
This is not a factor pair because 11.8 is not a whole number.
6. First factor = 6
Second factor = 59 / 6 = 9.83
This is not a factor pair because 9.83 is not a whole number.
7. First factor = 7
Second factor = 59 / 7 = 8.43
This is not a factor pair because 8.43 is not a whole number.
8. First factor = 8
Second factor = 59 / 8 = 7.38
This is not a factor pair because 7.38 is not a whole number.
9. First factor = 9
Second factor = 59 / 9 = 6.56
This is not a factor pair because 6.56 is not a whole number.
10. First factor = 10
Second factor = 59 / 10 = 5.9
This is not a factor pair because 5.9 is not a whole number.
The only factor pair of 59 is (1, 59).
### Answer: (1, 59)
Expected answer: [(1, 59)]
Correct? Yes
Problem: What are all the factor pairs of 3?
Claude-3 Haiku:
To find all the factor pairs of 3, we need to find all the numbers that can be multiplied together to get 3. The factors of 3 are: 1 and 3 3 and 1 Therefore, the factor pairs of 3 are: (1, 3) (3, 1) ### Answer: (1, 3), (3, 1)
Expected answer: [(1, 3)]
Correct? Yes
Problem: Could you list all factor pairs of 51?
Claude-3 Haiku:
To find all the factor pairs of 51, we need to find all the numbers that divide 51 evenly. The factors of 51 are: 1, 3, 17, 51 The factor pairs of 51 are: (1, 51) (3, 17) ### Answer: (1, 51), (3, 17)
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 50.
Claude-3 Haiku:
To find all the factor pairs of 50, we need to find all the numbers that divide 50 evenly. The factors of 50 are: 1, 2, 5, 10, 25, 50 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.
Claude-3 Haiku:
To find all the factor pairs of 47, we need to find all the numbers that can divide 47 evenly. The factors of 47 are: 1 and 47 Therefore, the factor pairs of 47 are: (1, 47) ### Answer: (1, 47)
Expected answer: [(1, 47)]
Correct? Yes
Problem: Write down all factor pairs of 51.
Claude-3 Haiku:
To find all the factor pairs of 51, we need to find all the numbers that divide 51 evenly. The factors of 51 are: 1, 3, 17, 51 The factor pairs of 51 are: (1, 51) (3, 17) ### Answer: (1, 51), (3, 17)
Expected answer: [(1, 51), (3, 17)]
Correct? Yes
Problem: List all factor pairs of 60.
Claude-3 Haiku:
To find all the factor pairs of 60, we need to find all the numbers that divide 60 evenly. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 The factor pairs of 60 are: 1 and 60 2 and 30 3 and 20 4 and 15 5 and 12 6 and 10 ### Answer: 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, 6 and 10
Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]
Correct? Yes
Problem: List all factor pairs of 43.
Claude-3 Haiku:
To find all the factor pairs of 43, we need to find all the numbers that divide 43 evenly. The factors of 43 are: 1 and 43 Therefore, the only factor pair of 43 is: 1, 43 ### Answer: 1, 43
Expected answer: [(1, 43)]
Correct? Yes
Problem: List all factor pairs of 70.
Claude-3 Haiku:
To find all the factor pairs of 70, we need to find all the numbers that divide 70 evenly. The factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70 The factor pairs of 70 are: (1, 70) (2, 35) (5, 14) (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.
Claude-3 Haiku:
To find the factors of a number, we need to find all the numbers that divide the given number evenly. The factors of 2 are: 1 2 ### Answer: 1, 2
Expected answer: [(1, 2)]
Correct? Yes
Problem: List all the factor pairs of 49.
Claude-3 Haiku:
To find all the factor pairs of 49, we need to find all the numbers that can divide 49 evenly. The factors of 49 are: 1, 7, 49 The factor pairs of 49 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.
Claude-3 Haiku:
To find all the factor pairs of 17, we need to find all the numbers that can be multiplied together to get 17. The factors of 17 are: 1 and 17 -1 and -17 Therefore, the factor pairs of 17 are: (1, 17) (-1, -17) ### Answer: (1, 17), (-1, -17)
Expected answer: [(1, 17)]
Correct? Yes
Problem: Find all the factor pairs of 35.
Claude-3 Haiku:
To find all the factor pairs of 35, we need to find all the numbers that divide 35 evenly. The factors of 35 are: 1, 5, 7, 35 The factor pairs of 35 are: (1, 35) (5, 7) Explanation: 1 x 35 = 35 5 x 7 = 35 Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of the number 91, we need to find all the numbers that divide 91 evenly. The factors of 91 are: 1, 91 7, 13 Therefore, the factor pairs of 91 are: (1, 91) (7, 13) ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all factor pairs of the number 97.
Claude-3 Haiku:
To find all the factor pairs of a number, we need to find all the numbers that can divide the given number evenly. The factors of 97 are: 1 and 97 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?
Claude-3 Haiku:
To find all the factor pairs of 16, we need to find all the numbers that can be multiplied together to get 16. The factors of 16 are: 1, 2, 4, 8, 16 The factor pairs of 16 are: 1 x 16 = 16 2 x 8 = 16 4 x 4 = 16 ### Answer: 1 x 16, 2 x 8, 4 x 4
Expected answer: [(1, 16), (2, 8), (4, 4)]
Correct? Yes
Problem: Find all the factor pairs of the number 21.
Claude-3 Haiku:
To find all the factor pairs of the number 21, we need to find all the numbers that divide 21 evenly. The factors of 21 are: 1, 3, 7, 21 The factor pairs of 21 are: 1 and 21 3 and 7 ### Answer: 1 and 21, 3 and 7
Expected answer: [(1, 21), (3, 7)]
Correct? Yes
Problem: Could you determine all the factor pairs of 72?
Claude-3 Haiku:
To determine all the factor pairs of 72, we can follow these steps: 1. Start with the number 1, as 1 is always a factor. 2. Divide 72 by 1 to get the other factor, which is 72. 3. Increment the first factor by 1 and divide 72 by the new first factor to get the corresponding second factor. 4. Repeat step 3 until the first factor is half of 72 (or the square root of 72). 5. Once the first factor is half of 72, the remaining factors will be the same, just in reverse order. The factor pairs of 72 are: 1 and 72 2 and 36 3 and 24 4 and 18 6 and 12 8 and 9 ### Answer: The factor pairs of 72 are: 1 and 72, 2 and 36, 3 and 24, 4 and 18, 6 and 12, 8 and 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.
Claude-3 Haiku:
To find all the factor pairs of 38, we need to find all the numbers that divide 38 evenly. The factors of 38 are: 1, 2, 19, 38 The factor pairs of 38 are: (1, 38) (2, 19) ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: List all the factor pairs of 94.
Claude-3 Haiku:
To find all the factor pairs of 94, we need to find all the numbers that divide 94 evenly. The factors of 94 are: 1, 2, 94, 47 The factor pairs of 94 are: (1, 94) (2, 47) ### Answer: (1, 94), (2, 47)
Expected answer: [(1, 94), (2, 47)]
Correct? Yes
Problem: List all factor pairs of 32.
Claude-3 Haiku:
To find all the factor pairs of 32, we need to find all the numbers that divide 32 evenly. The factors of 32 are: 1, 2, 4, 8, 16, 32 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: Identify all factor pairs of the number 33.
Claude-3 Haiku:
To find all the factor pairs of the number 33, we need to find all the numbers that divide 33 evenly. The factors of 33 are: 1 and 33 3 and 11 Therefore, the factor pairs of 33 are: (1, 33) (3, 11) ### Answer: (1, 33), (3, 11)
Expected answer: [(1, 33), (3, 11)]
Correct? Yes
Problem: Write down all the factor pairs of 59.
Claude-3 Haiku:
To find all the factor pairs of 59, we need to find all the numbers that can divide 59 evenly. The factors of 59 are: 1 and 59 59 is a prime number, so it only has these two factors. Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of the number 54, we need to find all the numbers that divide 54 evenly. The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54 The factor pairs of 54 are: 1 and 54 2 and 27 3 and 18 6 and 9 ### Answer: 1 and 54, 2 and 27, 3 and 18, 6 and 9
Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]
Correct? Yes
Problem: Determine all factor pairs of the number 85.
Claude-3 Haiku:
To find all the factor pairs of the number 85, we need to find all the numbers that divide 85 evenly. The factors of 85 are: 1 and 85 5 and 17 Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of the number 56, we need to find all the numbers that divide 56 evenly. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56 The factor pairs of 56 are: 1 and 56 2 and 28 4 and 14 7 and 8 ### Answer: The factor pairs of 56 are: (1, 56), (2, 28), (4, 14), and (7, 8).
Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]
Correct? Yes
Problem: List all the factor pairs of the number 24.
Claude-3 Haiku:
To find all the factor pairs of the number 24, we need to find all the numbers that divide 24 evenly. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24 The factor pairs of 24 are: 1 and 24 2 and 12 3 and 8 4 and 6 ### Answer: 1 and 24, 2 and 12, 3 and 8, 4 and 6
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: What are all the factor pairs of the number 84?
Claude-3 Haiku:
To find all the factor pairs of the number 84, we need to find all the numbers that divide 84 evenly. The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 The factor pairs of 84 are: 1 and 84 2 and 42 3 and 28 4 and 21 6 and 14 7 and 12 ### Answer: 1 and 84, 2 and 42, 3 and 28, 4 and 21, 6 and 14, 7 and 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.
Claude-3 Haiku:
To find all the factor pairs of 36, we need to find all the numbers that divide 36 evenly. The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 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: What are all the factor pairs of 85?
Claude-3 Haiku:
To find all the factor pairs of 85, we need to find all the numbers that divide 85 evenly. The factors of 85 are: 1, 5, 17, 85 The factor pairs of 85 are: (1, 85) (5, 17) Explanation: 1 x 85 = 85 5 x 17 = 85 Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of the number 34, we need to find all the numbers that divide 34 evenly. The factors of 34 are: 1 and 34 2 and 17 Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of 88, we need to find all the numbers that divide 88 evenly. The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88 The factor pairs of 88 are: (1, 88) (2, 44) (4, 22) (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.
Claude-3 Haiku:
To find all the factor pairs for the number 83, we need to find all the numbers that divide 83 evenly. The factors of 83 are: 1 and 83 Therefore, the only factor pair for the number 83 is: 1, 83 ### Answer: 1, 83
Expected answer: [(1, 83)]
Correct? Yes
Problem: What are all the factor pairs of 60?
Claude-3 Haiku:
To find all the factor pairs of 60, we need to find all the numbers that divide 60 evenly. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 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.
Claude-3 Haiku:
To find all the factor pairs of 58, we need to find all the numbers that divide 58 evenly. The factors of 58 are: 1, 2, 58, 29 The factor pairs of 58 are: (1, 58) (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.
Claude-3 Haiku:
To find all the factor pairs of the number 40, we need to find all the numbers that divide 40 evenly. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40 The factor pairs of 40 are: 1 and 40 2 and 20 4 and 10 5 and 8 ### Answer: 1 and 40, 2 and 20, 4 and 10, 5 and 8
Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]
Correct? Yes
Problem: Identify all the factor pairs of 91.
Claude-3 Haiku:
To find all the factor pairs of 91, we need to find all the numbers that divide 91 evenly. The factors of 91 are: 1, 91 7, 13 Therefore, the factor pairs of 91 are: (1, 91) (7, 13) ### Answer: (1, 91), (7, 13)
Expected answer: [(1, 91), (7, 13)]
Correct? Yes
Problem: List all the factor pairs of 76.
Claude-3 Haiku:
To find all the factor pairs of 76, we need to find all the numbers that divide 76 evenly. The factors of 76 are: 1, 2, 4, 19, 38, 76 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?
Claude-3 Haiku:
To find all the factor pairs of 13, we need to find all the numbers that can be multiplied together to get 13. The factors of 13 are: 1 and 13 Therefore, the only factor pair of 13 is: 1 × 13 = 13 ### Answer: 1, 13
Expected answer: [(1, 13)]
Correct? Yes
Problem: Find all factor pairs of 64.
Claude-3 Haiku:
To find all the factor pairs of 64, we need to find all the numbers that can divide 64 evenly. The factors of 64 are: 1, 2, 4, 8, 16, 32, 64 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?
Claude-3 Haiku:
To find all the factor pairs of 8, we need to find all the numbers that can be multiplied together to get 8. The factors of 8 are: 1, 2, 4, 8 The factor pairs of 8 are: 1 x 8 = 8 2 x 4 = 8 Therefore, the factor pairs of 8 are: (1, 8) (2, 4) ### Answer: (1, 8), (2, 4)
Expected answer: [(1, 8), (2, 4)]
Correct? Yes
Problem: List all the factor pairs of 80.
Claude-3 Haiku:
To find all the factor pairs of 80, we need to find all the numbers that divide 80 evenly. The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 The factor pairs of 80 are: 1 and 80 2 and 40 4 and 20 5 and 16 8 and 10 ### Answer: 1 and 80, 2 and 40, 4 and 20, 5 and 16, 8 and 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.
Claude-3 Haiku:
To find all the factor pairs for the number 96, we need to find all the numbers that divide 96 evenly. The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 The factor pairs of 96 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.
Claude-3 Haiku:
To find all the factor pairs of 19, we need to find all the numbers that can be multiplied together to get 19. The factors of 19 are: 1 and 19 -1 and -19 Therefore, the factor pairs of 19 are: (1, 19) (-1, -19) ### Answer: (1, 19), (-1, -19)
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 37?
Claude-3 Haiku:
To find all the factor pairs of 37, we need to find all the numbers that divide 37 evenly. The factors of 37 are: 1 and 37 Therefore, the only factor pair of 37 is: 1, 37 ### Answer: 1, 37
Expected answer: [(1, 37)]
Correct? Yes
Problem: Write down all factor pairs of the number 6.
Claude-3 Haiku:
To find all the factor pairs of the number 6, we need to find all the numbers that can divide 6 evenly. The factors of 6 are: 1, 2, 3, 6 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: List down all the factor pairs of 58.
Claude-3 Haiku:
To find the factor pairs of 58, we need to find all the numbers that divide 58 evenly. The factors of 58 are: 1, 2, 58, 29 The factor pairs of 58 are: (1, 58) (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.
Claude-3 Haiku:
To find all the factor pairs of the number 81, we need to find all the numbers that divide 81 evenly. The factors of 81 are: 1, 3, 9, 27, 81 The factor pairs of 81 are: (1, 81) (3, 27) (9, 9) ### Answer: (1, 81), (3, 27), (9, 9)
Expected answer: [(1, 81), (3, 27), (9, 9)]
Correct? Yes
Problem: Please list all factor pairs of the number 85.
Claude-3 Haiku:
To find all the factor pairs of 85, we need to find all the numbers that can divide 85 evenly. The factors of 85 are: 1 and 85 5 and 17 Therefore, the factor pairs of 85 are: (1, 85) (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.
Claude-3 Haiku:
To find all the factor pairs for the number 93, we need to find all the numbers that divide 93 evenly. The factors of 93 are: 1 and 93 3 and 31 Therefore, the factor pairs for 93 are: (1, 93) (3, 31) ### Answer: (1, 93), (3, 31)
Expected answer: [(1, 93), (3, 31)]
Correct? Yes
Problem: Identify all factor pairs of 24.
Claude-3 Haiku:
To find all the factor pairs of 24, we need to find all the numbers that divide 24 evenly. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24 The factor pairs of 24 are: 1 and 24 2 and 12 3 and 8 4 and 6 ### Answer: 1 and 24, 2 and 12, 3 and 8, 4 and 6
Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]
Correct? Yes
Problem: List all the factor pairs of 97.
Claude-3 Haiku:
To find the factor pairs of 97, we need to find all the numbers that can divide 97 evenly. The factors of 97 are: 1 and 97 This is because the only numbers that can divide 97 evenly are 1 and 97 itself. Therefore, 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.
Claude-3 Haiku:
To find all the factor pairs of the number 57, we need to find all the numbers that divide 57 evenly. The factors of 57 are: 1 and 57 3 and 19 Therefore, the factor pairs of 57 are: (1, 57) (3, 19) ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: List down all the factor pairs of 19.
Claude-3 Haiku:
To find the factor pairs of a number, we need to find all the numbers that can divide the given number evenly. The factors of 19 are: 1 and 19 Therefore, the factor pairs of 19 are: 1, 19 ### Answer: 1, 19
Expected answer: [(1, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Claude-3 Haiku:
To find all the factor pairs of 38, we need to find all the numbers that divide 38 evenly. The factors of 38 are: 1, 2, 19, 38 The factor pairs of 38 are: (1, 38) (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.
Claude-3 Haiku:
To find all the factor pairs of the number 6, we need to find all the numbers that divide 6 evenly. The factors of 6 are: 1, 2, 3, 6 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: Write down all factor pairs of 17.
Claude-3 Haiku:
To find all the factor pairs of 17, we need to find all the numbers that can be multiplied together to get 17. The factors of 17 are: 1 and 17 -1 and -17 Therefore, the factor pairs of 17 are: (1, 17) (-1, -17) ### Answer: (1, 17), (-1, -17)
Expected answer: [(1, 17)]
Correct? Yes
Problem: List all factor pairs of 45.
Claude-3 Haiku:
To find all the factor pairs of 45, we need to find all the numbers that divide 45 evenly. The factors of 45 are: 1, 3, 5, 9, 15, 45 The factor pairs of 45 are: (1, 45) (3, 15) (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.
Claude-3 Haiku:
To find all the factor pairs of 36, we need to find all the numbers that can divide 36 evenly. The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 The factor pairs of 36 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: What are all factor pairs of 89?
Claude-3 Haiku:
To find all the factor pairs of 89, we need to find all the numbers that divide 89 evenly. The factors of 89 are: 1 and 89 This is because the only numbers that divide 89 evenly are 1 and 89 itself. Therefore, the factor pairs of 89 are: (1, 89) ### Answer: (1, 89)
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of 89.
Claude-3 Haiku:
To find the factor pairs of a number, we need to find all the numbers that can divide the given number evenly. The factors of 89 are: 1 and 89 This is because the only numbers that can divide 89 evenly are 1 and 89 itself. ### Answer: 1, 89
Expected answer: [(1, 89)]
Correct? Yes
Problem: List all the factor pairs of the number 44.
Claude-3 Haiku:
To find all the factor pairs of the number 44, we need to find all the numbers that divide 44 evenly. The factors of 44 are: 1, 2, 4, 11, 22, 44 The factor pairs of 44 are: 1 and 44 2 and 22 4 and 11 ### Answer: 1 and 44, 2 and 22, 4 and 11
Expected answer: [(1, 44), (2, 22), (4, 11)]
Correct? Yes
Problem: Identify all factor pairs of the number 36.
Claude-3 Haiku:
To find all the factor pairs of 36, we need to find all the numbers that divide 36 evenly. The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 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: List all possible factor pairs of the number 35.
Claude-3 Haiku:
To find all the possible factor pairs of the number 35, we need to find all the factors of 35. The factors of 35 are: 1, 5, 7, 35 The factor pairs of 35 are: (1, 35) (5, 7) ### Answer: (1, 35), (5, 7)
Expected answer: [(1, 35), (5, 7)]
Correct? Yes
Problem: Write down all factor pairs of 22.
Claude-3 Haiku:
To find all the factor pairs of 22, we need to find all the numbers that divide 22 evenly. The factors of 22 are: 1, 2, 11, 22 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.
Claude-3 Haiku:
To find all the factor pairs of 40, we need to find all the numbers that divide 40 evenly. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40 The factor pairs of 40 are: (1, 40) (2, 20) (4, 10) (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.
Claude-3 Haiku:
To find all the factor pairs of the number 64, we need to find all the numbers that can divide 64 evenly. The factors of 64 are: 1, 2, 4, 8, 16, 32, 64 The factor pairs of 64 are: 1 and 64 2 and 32 4 and 16 8 and 8 ### Answer: 1 and 64, 2 and 32, 4 and 16, 8 and 8
Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]
Correct? Yes
Problem: Determine all factor pairs of 30.
Claude-3 Haiku:
To find all the factor pairs of 30, we need to find all the numbers that divide 30 evenly. The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30 The factor pairs of 30 are: (1, 30) (2, 15) (3, 10) (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.
Claude-3 Haiku:
To find all the factor pairs of 59, we need to find all the numbers that divide 59 evenly. The factors of 59 are: 1 and 59 Therefore, the only factor pair of 59 is: 1, 59 ### Answer: 1, 59
Expected answer: [(1, 59)]
Correct? Yes
Problem: List all factor pairs of 18.
Claude-3 Haiku:
To find all the factor pairs of 18, we need to find all the numbers that divide 18 evenly. The factors of 18 are: 1, 2, 3, 6, 9, 18 The factor pairs of 18 are: 1 and 18 2 and 9 3 and 6 ### Answer: 1 and 18, 2 and 9, 3 and 6
Expected answer: [(1, 18), (2, 9), (3, 6)]
Correct? Yes
Problem: Please list all the factor pairs of 61.
Claude-3 Haiku:
To find all the factor pairs of 61, we need to find all the numbers that can divide 61 evenly. The factors of 61 are: 1 and 61 Therefore, the only factor pair of 61 is: 1, 61 ### Answer: 1, 61
Expected answer: [(1, 61)]
Correct? Yes
Problem: What are all of the factor pairs of 86?
Claude-3 Haiku:
To find all the factor pairs of 86, we need to find all the numbers that divide 86 evenly. The factors of 86 are: 1, 2, 4, 43, 86 The factor pairs of 86 are: (1, 86) (2, 43) (4, 21.5) (since 21.5 is not a whole number, it is not a valid factor) ### Answer: (1, 86), (2, 43)
Expected answer: [(1, 86), (2, 43)]
Correct? Yes
Problem: List out all factor pairs of 57.
Claude-3 Haiku:
To find all the factor pairs of 57, we need to find all the numbers that divide 57 evenly. The factors of 57 are: 1, 3, 19, 57 The factor pairs of 57 are: (1, 57) (3, 19) ### Answer: (1, 57), (3, 19)
Expected answer: [(1, 57), (3, 19)]
Correct? Yes
Problem: What are all factor pairs of 38?
Claude-3 Haiku:
To find all the factor pairs of 38, we need to find all the numbers that divide 38 evenly. The factors of 38 are: 1, 2, 19, 38 The factor pairs of 38 are: (1, 38) (2, 19) ### Answer: (1, 38), (2, 19)
Expected answer: [(1, 38), (2, 19)]
Correct? Yes
Problem: Please list all factor pairs of 27.
Claude-3 Haiku:
To find all the factor pairs of 27, we need to find all the numbers that can be multiplied together to get 27. The factors of 27 are: 1 and 27 3 and 9 Therefore, the factor pairs of 27 are: (1, 27) (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.
Claude-3 Haiku:
To find all the factor pairs of the number 78, we need to find all the numbers that divide 78 evenly. The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78 The factor pairs of 78 are: 1 and 78 2 and 39 3 and 26 6 and 13 ### Answer: 1 and 78, 2 and 39, 3 and 26, 6 and 13
Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]
Correct? Yes
Problem: List out all the factor pairs of 23.
Claude-3 Haiku:
To find the factor pairs of a number, we need to find all the numbers that can divide the given number evenly. The factors of 23 are: 1 and 23 Therefore, the only factor pair of 23 is: 1, 23 ### Answer: 1, 23
Expected answer: [(1, 23)]
Correct? Yes
Problem: List down all the factor pairs of 2.
Claude-3 Haiku:
The factor pairs of 2 are: 1 x 2 2 x 1 ### Answer: 1 x 2, 2 x 1
Expected answer: [(1, 2)]
Correct? Yes
Problem: Write down all the factor pairs of 49.
Claude-3 Haiku:
To find all the factor pairs of 49, we need to find all the numbers that can be multiplied together to get 49. The factors of 49 are: 1 and 49 7 and 7 Therefore, the factor pairs of 49 are: (1, 49) (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.
Claude-3 Haiku:
To find all the distinct pairs of factors that can multiply to give the number 93, we can follow these steps: 1. Find the prime factorization of 93. 2. Identify all the possible combinations of factors that can multiply to give 93. Step 1: Find the prime factorization of 93. 93 = 3 × 31 Step 2: Identify all the possible combinations of factors that can multiply to give 93. The possible pairs of factors are: 1 × 93 3 × 31 Therefore, the distinct pairs of factors that can multiply to give the number 93 are: 1 × 93 3 × 31 ### Answer: 1 × 93, 3 × 31
Expected answer: [(1, 93), (3, 31)]
Correct? Yes