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Llama 3 70B 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.

Llama 3 70B: 

To find all factor pairs of 64, we need to find all the whole numbers that divide 64 exactly without leaving a remainder.

Let's start with 1 and 64, since 1 multiplied by 64 equals 64.

1 × 64 = 64

Next, we can try 2 and 32, since 2 multiplied by 32 equals 64.

2 × 32 = 64

Then, we can try 4 and 16, since 4 multiplied by 16 equals 64.

4 × 16 = 64

Finally, we can try 8 and 8, since 8 multiplied by 8 equals 64.

8 × 8 = 64

We have found all the factor pairs of 64:

1 × 64
2 × 32
4 × 16
8 × 8

### Answer: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8).

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 18.

Llama 3 70B: 

To find the factor pairs of 18, I'll list all the possible combinations of numbers that multiply to 18:

1. 1 × 18 = 18
2. 2 × 9 = 18
3. 3 × 6 = 18

These are all the possible factor pairs of 18.

### 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.

Llama 3 70B: 

To find all factor pairs of 28, we need to find all the whole numbers that divide 28 exactly without leaving a remainder.

Let's start with 1 and 28, since 1 multiplied by 28 equals 28.

1 × 28 = 28

Next, we can try 2 and 14, since 2 multiplied by 14 equals 28.

2 × 14 = 28

Another factor pair is 4 and 7, since 4 multiplied by 7 equals 28.

4 × 7 = 28

These are all the factor pairs of 28. We can list them as:

(1, 28)
(2, 14)
(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.

Llama 3 70B: 

To find the factor pairs of 48, I'll list all the possible combinations of numbers that multiply to 48:

1. 1 × 48 = 48
2. 2 × 24 = 48
3. 3 × 16 = 48
4. 4 × 12 = 48
5. 6 × 8 = 48

So, 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), and (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.

Llama 3 70B: 

To find the factor pairs of 7, I will list all the possible combinations of numbers that multiply to 7:

1 × 7 = 7
-1 × -7 = 7

These are the only factor pairs of 7, since 7 is a prime number.

### Answer: (1, 7) and (-1, -7)

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

Llama 3 70B: 

To find the factors of 98, I will list all the pairs of numbers that multiply to 98:

1. 1 × 98 = 98
2. 2 × 49 = 98
3. 7 × 14 = 98

These are all the possible pairs of factors of 98.

### 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.

Llama 3 70B: 

To find the factor pairs of 26, I'll list all the possible combinations of numbers that multiply to 26:

1. 1 × 26 = 26
2. 2 × 13 = 26

These are the only two factor pairs of 26.

### Answer: (1, 26) and (2, 13)

Expected answer: [(1, 26), (2, 13)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 59.

Llama 3 70B: 

Since 59 is a prime number, it only has two factor pairs:

1 × 59
59 × 1

### Answer: 1 × 59 and 59 × 1.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

Llama 3 70B: 

To find all the factor pairs of 20, we need to list all the whole numbers that divide 20 exactly without leaving a remainder.

The factors of 20 are: 1, 2, 4, 5, 10, and 20.

The factor pairs of 20 are:
1 × 20 = 20
2 × 10 = 20
4 × 5 = 20

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

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 20.

Llama 3 70B: 

To find the factor pairs of 20, I'll list all the possible combinations of numbers that multiply to 20:

1. 1 × 20 = 20
2. 2 × 10 = 20
3. 4 × 5 = 20

These are all the factor pairs of 20.

### Answer: (1, 20), (2, 10), (4, 5)

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

Correct? Yes

🔗 Problem

Problem: Please list down all factor pairs of 13.

Llama 3 70B: 

Since 13 is a prime number, it only has two factor pairs:

1. 1 × 13
2. 13 × 1

### Answer: 1 × 13 and 13 × 1.

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

Llama 3 70B: 

To find all factor pairs of 81, we need to find all the whole numbers that divide 81 exactly without leaving a remainder.

Let's start by listing the factors of 81:

1 × 81 = 81
3 × 27 = 81
9 × 9 = 81

So, 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

Problem: List all factor pairs of 76.

Llama 3 70B: 

To find the factor pairs of 76, I'll list all the possible combinations of numbers that multiply to 76:

1. 1 × 76 = 76
2. 2 × 38 = 76
3. 4 × 19 = 76

These are all the possible factor pairs of 76.

### 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.

Llama 3 70B: 

To find the factor pairs of 50, I'll list all the possible combinations of numbers that multiply to 50:

1. 1 × 50 = 50
2. 2 × 25 = 50
3. 5 × 10 = 50

So, 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: List all the factor pairs of the number 76.

Llama 3 70B: 

To find the factor pairs of 76, I'll list all the possible combinations of numbers that multiply to 76:

1. 1 × 76 = 76
2. 2 × 38 = 76
3. 4 × 19 = 76

These are all the possible factor pairs of 76.

### 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.

Llama 3 70B: 

To find the factor pairs of 56, I'll list all the possible combinations of numbers that multiply to 56:

1. 1 × 56 = 56
2. 2 × 28 = 56
3. 4 × 14 = 56
4. 7 × 8 = 56

These are all the possible factor pairs of 56.

### 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.

Llama 3 70B: 

To find the factor pairs of 44, I'll list all the possible combinations of numbers that multiply to 44:

1. 1 × 44 = 44
2. 2 × 22 = 44
3. 4 × 11 = 44

These are all the possible factor pairs of 44.

### 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.

Llama 3 70B: 

To find the factor pairs of 5, I will list all the possible combinations of numbers that multiply to 5:

1 × 5 = 5
5 × 1 = 5

These are the only two factor pairs of 5.

### Answer: (1, 5) and (5, 1)

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

Llama 3 70B: 

To find the factor pairs of 95, we need to find all the whole numbers that divide 95 exactly without leaving a remainder.

The factors of 95 are: 1, 5, 19, and 95.

The factor pairs of 95 are:
1 × 95 = 95
5 × 19 = 95

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

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

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

Llama 3 70B: 

To find the factor pairs of 36, I'll list all the possible combinations of numbers that multiply to 36:

1. 1 × 36 = 36
2. 2 × 18 = 36
3. 3 × 12 = 36
4. 4 × 9 = 36
5. 6 × 6 = 36

These are all the factor pairs of 36.

### 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.

Llama 3 70B: 

Since 59 is a prime number, it only has two factors: 1 and 59.

### Answer: (1, 59)

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 3?

Llama 3 70B: 

To find the factor pairs of 3, we need to find all the whole numbers that multiply together to give 3.

The factor pairs of 3 are: 1 × 3 = 3

So, the only factor pair of 3 is 1 and 3.

### Answer: 1 and 3.

Expected answer: [(1, 3)]

Correct? Yes

🔗 Problem

Problem: Could you list all factor pairs of 51?

Llama 3 70B: 

To find the factor pairs of 51, I'll list all the possible combinations of numbers that multiply to 51:

1. 1 × 51 = 51
3. 3 × 17 = 51

These are the only two factor pairs of 51.

### Answer: (1, 51) and (3, 17)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

Llama 3 70B: 

To find the factor pairs of 50, I'll list all the possible combinations of numbers that multiply to 50:

1. 1 × 50 = 50
2. 2 × 25 = 50
3. 5 × 10 = 50

These are all the possible factor pairs of 50.

### 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.

Llama 3 70B: 

Since 47 is a prime number, it only has two factor pairs:

1 × 47
47 × 1

### Answer: 1 × 47 and 47 × 1.

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

Llama 3 70B: 

To find the factor pairs of 51, I will list all the possible combinations of numbers that multiply to 51:

1. 1 × 51 = 51
3. 3 × 17 = 51

These are the only two factor pairs of 51.

### Answer: (1, 51) and (3, 17)

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

Llama 3 70B: 

To find the factor pairs of 60, I'll list all the possible combinations of numbers that multiply to 60:

1. 1 × 60 = 60
2. 2 × 30 = 60
3. 3 × 20 = 60
4. 4 × 15 = 60
5. 5 × 12 = 60
6. 6 × 10 = 60

These are all the possible factor pairs of 60.

### 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.

Llama 3 70B: 

Since 43 is a prime number, it only has two factor pairs: 1 and 43, and 43 and 1.

### Answer: (1, 43) and (43, 1).

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

Llama 3 70B: 

To find the factor pairs of 70, I'll list all the possible combinations of numbers that multiply to 70:

1. 1 × 70 = 70
2. 2 × 35 = 70
3. 5 × 14 = 70
4. 7 × 10 = 70

These are all the possible factor pairs of 70.

### 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.

Llama 3 70B: 

The factors of the number 2 are: 1 and 2.

### Answer: 1, 2.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

Llama 3 70B: 

To find the factor pairs of 49, I'll list all the possible combinations of numbers that multiply to 49:

1. 1 × 49 = 49
2. 7 × 7 = 49

These are the only two factor pairs of 49.

### Answer: (1, 49) and (7, 7)

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 17.

Llama 3 70B: 

Since 17 is a prime number, it only has two factors: 1 and 17.

### Answer: (1, 17)

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

Llama 3 70B: 

To find the factor pairs of 35, we need to find all the whole numbers that divide 35 exactly without leaving a remainder.

The factors of 35 are: 1, 5, 7, and 35.

The factor pairs of 35 are:
1 × 35 = 35
5 × 7 = 35

### Answer: The factor pairs of 35 are (1, 35) and (5, 7).

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

Llama 3 70B: 

To find the factor pairs of 91, we need to find all the whole numbers that divide 91 exactly without leaving a remainder.

The factors of 91 are: 1, 7, 13, and 91.

The factor pairs of 91 are:
1 × 91 = 91
7 × 13 = 91

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

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

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 97.

Llama 3 70B: 

Since 97 is a prime number, it only has two factor pairs: 1 and 97, and 97 and 1.

### Answer: (1, 97) and (97, 1).

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 16?

Llama 3 70B: 

To find the factor pairs of 16, we need to find all the whole numbers that multiply together to give 16.

Let's start with 1: 1 × 16 = 16, so (1, 16) is a factor pair.

Next, let's try 2: 2 × 8 = 16, so (2, 8) is a factor pair.

Then, let's try 4: 4 × 4 = 16, so (4, 4) is a factor pair.

We can stop here because we've found all the factor pairs.

### Answer: (1, 16), (2, 8), (4, 4).

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

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 21, we need to find all the whole numbers that divide 21 exactly without leaving a remainder.

Let's start with 1, which is a factor of every number:
1 × 21 = 21

Next, we can try 2, but 2 does not divide 21 exactly:
2 × ? ≠ 21

Moving on to 3, we find:
3 × 7 = 21

Now, we can try 4, but 4 does not divide 21 exactly:
4 × ? ≠ 21

We can continue this process, but we've already found two factors: 1, 21, and 3, 7. Since 21 is a prime number, we know that it only has two distinct factors.

Therefore, the factor pairs of 21 are:
1 × 21 = 21
3 × 7 = 21

### Answer: (1, 21) and (3, 7)

Expected answer: [(1, 21), (3, 7)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 72, I'll list out all the possible factors:

1. 1 × 72 = 72
2. 2 × 36 = 72
3. 3 × 24 = 72
4. 4 × 18 = 72
5. 6 × 12 = 72
6. 8 × 9 = 72

So, 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), and (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.

Llama 3 70B: 

To find the factor pairs of 38, we need to find all the whole numbers that divide 38 exactly without leaving a remainder.

The factors of 38 are: 1, 2, 19, and 38.

The factor pairs of 38 are:
1 × 38 = 38
2 × 19 = 38

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

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 94.

Llama 3 70B: 

To find the factor pairs of 94, I'll list all the possible combinations of numbers that multiply to 94:

1. 1 × 94 = 94
2. 2 × 47 = 94

These are the only two factor pairs of 94.

### Answer: (1, 94) and (2, 47)

Expected answer: [(1, 94), (2, 47)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 32.

Llama 3 70B: 

To find the factor pairs of 32, I'll list all the possible combinations of numbers that multiply to 32:

1. 1 × 32 = 32
2. 2 × 16 = 32
3. 4 × 8 = 32

These are all the possible factor pairs of 32.

### 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.

Llama 3 70B: 

To find the factor pairs of 33, we need to find all the whole numbers that divide 33 exactly without leaving a remainder.

The factors of 33 are: 1, 3, 11, and 33.

The factor pairs of 33 are:
1 × 33 = 33
3 × 11 = 33

### Answer: The factor pairs of 33 are (1, 33) and (3, 11).

Expected answer: [(1, 33), (3, 11)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

Llama 3 70B: 

Since 59 is a prime number, it only has two factor pairs:

1 × 59
-1 × -59

These are the only possible combinations of integers that multiply to 59.

### Answer: 1 × 59 and -1 × -59

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 54, I'll list all the possible combinations of numbers that multiply to 54:

1. 1 × 54 = 54
2. 2 × 27 = 54
3. 3 × 18 = 54
4. 6 × 9 = 54

These are all the possible factor pairs of 54.

### 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.

Llama 3 70B: 

To find the factor pairs of 85, we need to find all the whole numbers that divide 85 exactly without leaving a remainder.

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

The factor pairs of 85 are:
1 × 85 = 85
5 × 17 = 85

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

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

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 56, I'll list out all the possible factors:

1. 1 × 56 = 56
2. 2 × 28 = 56
3. 4 × 14 = 56
4. 7 × 8 = 56

These are all the possible factor pairs of 56.

### 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.

Llama 3 70B: 

To find the factor pairs of 24, I'll list all the possible combinations of numbers that multiply to 24:

1. 1 × 24 = 24
2. 2 × 12 = 24
3. 3 × 8 = 24
4. 4 × 6 = 24

So, the factor pairs of 24 are:

(1, 24), (2, 12), (3, 8), and (4, 6)

### Answer: (1, 24), (2, 12), (3, 8), and (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?

Llama 3 70B: 

To find the factor pairs of 84, we need to find all the whole numbers that divide 84 exactly without leaving a remainder.

Let's start by listing the factors of 84:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Now, we can form the factor pairs by pairing each factor with its corresponding quotient:

1 × 84 = 84
2 × 42 = 84
3 × 28 = 84
4 × 21 = 84
6 × 14 = 84
7 × 12 = 84

So, 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), and (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.

Llama 3 70B: 

To find the factor pairs of 36, we need to find all the whole numbers that divide 36 exactly without leaving a remainder.

Let's start with 1 and 36, since 1 multiplied by 36 equals 36.

1 × 36 = 36

Next, we can try 2 and 18, since 2 multiplied by 18 equals 36.

2 × 18 = 36

Then, we can try 3 and 12, since 3 multiplied by 12 equals 36.

3 × 12 = 36

Finally, we can try 4 and 9, since 4 multiplied by 9 equals 36.

4 × 9 = 36

We have found all the factor pairs of 36:

1 × 36
2 × 18
3 × 12
4 × 9

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

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

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 85?

Llama 3 70B: 

To find the factor pairs of 85, we need to find all the whole numbers that divide 85 exactly without leaving a remainder.

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

The factor pairs of 85 are:
1 × 85 = 85
5 × 17 = 85

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

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

Llama 3 70B: 

To find the factor pairs of 34, we need to find all the whole numbers that divide 34 exactly without leaving a remainder.

The factors of 34 are: 1, 2, 17, and 34.

The factor pairs of 34 are:
1 × 34 = 34
2 × 17 = 34

### Answer: The factor pairs of 34 are (1, 34) and (2, 17).

Expected answer: [(1, 34), (2, 17)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 88.

Llama 3 70B: 

To find the factor pairs of 88, we need to find all the whole numbers that divide 88 exactly without leaving a remainder.

Let's start by listing the factors of 88:

1, 2, 4, 8, 11, 22, 44, 88

Now, we can form the factor pairs by pairing each factor with its corresponding quotient:

1 × 88 = 88
2 × 44 = 88
4 × 22 = 88
8 × 11 = 88

So, 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

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

Llama 3 70B: 

Since 83 is a prime number, it only has two factor pairs:

1 × 83
83 × 1

### Answer: 1 × 83 and 83 × 1.

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

Llama 3 70B: 

To find the factor pairs of 60, we need to find all the whole numbers that divide 60 exactly without leaving a remainder.

Let's start with 1 and 60, since 1 multiplied by 60 equals 60.

1 x 60 = 60

Next, we can try 2 and 30, since 2 multiplied by 30 equals 60.

2 x 30 = 60

Then, we can try 3 and 20, since 3 multiplied by 20 equals 60.

3 x 20 = 60

Following that, we can try 4 and 15, since 4 multiplied by 15 equals 60.

4 x 15 = 60

Finally, we can try 5 and 12, since 5 multiplied by 12 equals 60.

5 x 12 = 60

We have found all the factor pairs of 60:

1 x 60
2 x 30
3 x 20
4 x 15
5 x 12

### Answer: The factor pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 15), and (5, 12).

Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 58.

Llama 3 70B: 

To find the factor pairs of 58, I'll list all the possible combinations of numbers that multiply to 58:

1. 1 × 58 = 58
2. 2 × 29 = 58

These are the only two factor pairs of 58.

### Answer: (1, 58) and (2, 29)

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 40, I'll list all the possible combinations of numbers that multiply to 40:

1. 1 × 40 = 40
2. 2 × 20 = 40
3. 4 × 10 = 40
4. 5 × 8 = 40

So, the factor pairs of 40 are:

(1, 40), (2, 20), (4, 10), and (5, 8)

### Answer: (1, 40), (2, 20), (4, 10), and (5, 8)

Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

Llama 3 70B: 

To find the factor pairs of 91, I will list all the possible factors of 91:

1 × 91
7 × 13

These are the only two factor pairs of 91, since 91 is a prime number multiplied by another prime number (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.

Llama 3 70B: 

To find the factor pairs of 76, I'll list all the possible combinations of numbers that multiply to 76:

1. 1 × 76 = 76
2. 2 × 38 = 76
3. 4 × 19 = 76

These are all the possible factor pairs of 76.

### 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?

Llama 3 70B: 

Since 13 is a prime number, it only has two factors: 1 and 13. 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 64.

Llama 3 70B: 

To find all factor pairs of 64, we need to find all the whole numbers that divide 64 exactly without leaving a remainder.

Let's start with 1 and 64, since 1 multiplied by 64 equals 64.

1 × 64 = 64

Next, we can try 2 and 32, since 2 multiplied by 32 equals 64.

2 × 32 = 64

Then, we can try 4 and 16, since 4 multiplied by 16 equals 64.

4 × 16 = 64

Finally, we can try 8 and 8, since 8 multiplied by 8 equals 64.

8 × 8 = 64

We have found all the factor pairs of 64:

1 × 64
2 × 32
4 × 16
8 × 8

### Answer: The factor pairs of 64 are (1, 64), (2, 32), (4, 16), and (8, 8).

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 8?

Llama 3 70B: 

To find all the factor pairs of 8, we need to list all the whole numbers that divide 8 exactly without leaving a remainder.

The factors of 8 are: 1, 2, 4, and 8.

The factor pairs of 8 are:
1 × 8 = 8
2 × 4 = 8

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

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

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 80.

Llama 3 70B: 

To find the factor pairs of 80, I'll list all the possible combinations of numbers that multiply to 80:

1. 1 × 80 = 80
2. 2 × 40 = 80
3. 4 × 20 = 80
4. 5 × 16 = 80
5. 8 × 10 = 80

These are all the factor pairs of 80.

### 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.

Llama 3 70B: 

To find the factor pairs of 96, I'll list out all the possible factors:

1. 1 × 96
2. 2 × 48
3. 3 × 32 (not a factor pair, since 3 does not divide 96)
4. 4 × 24
5. 6 × 16
6. 8 × 12

So, the factor pairs of 96 are:

1 × 96
2 × 48
4 × 24
6 × 16
8 × 12

### Answer: The factor pairs of 96 are (1, 96), (2, 48), (4, 24), (6, 16), and (8, 12).

Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]

Correct? No

🔗 Problem

Problem: Calculate all factor pairs of 19.

Llama 3 70B: 

To find the factor pairs of 19, we need to find all the whole numbers that divide 19 exactly without leaving a remainder.

Since 19 is a prime number, it only has two factors: 1 and 19.

So, the factor pairs of 19 are:

1 × 19 = 19

### Answer: (1, 19).

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

Llama 3 70B: 

Since 37 is a prime number, it only has two factors: 1 and 37. Therefore, the only factor pair of 37 is (1, 37).

### Answer: (1, 37).

Expected answer: [(1, 37)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 6, I'll list all the possible combinations of numbers that multiply to 6:

1. 1 × 6 = 6
2. 2 × 3 = 6

These are the only two factor pairs of the number 6.

### Answer: (1, 6) and (2, 3)

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

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

Llama 3 70B: 

To find the factor pairs of 58, I'll list down all the possible combinations of numbers that multiply to 58:

1. 1 × 58 = 58
2. 2 × 29 = 58

These are the only two factor pairs of 58.

### Answer: (1, 58) and (2, 29)

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 81, I'll list all the possible combinations of numbers that multiply to 81:

1. 1 × 81 = 81
2. 3 × 27 = 81
3. 9 × 9 = 81

These are all the possible factor pairs of 81.

### 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.

Llama 3 70B: 

To find the factor pairs of 85, I'll list all the possible combinations of numbers that multiply to 85:

1. 1 × 85 = 85
2. 5 × 17 = 85

These are the only two factor pairs of the number 85.

### 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.

Llama 3 70B: 

To find the factor pairs of 93, I'll list all the possible combinations of numbers that multiply to 93:

1. 1 × 93 = 93
3. 3 × 31 = 93

These are the only two factor pairs for the number 93.

### Answer: (1, 93) and (3, 31)

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

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

Llama 3 70B: 

To find the factor pairs of 24, I'll list all the possible combinations of numbers that multiply to 24:

1. 1 × 24 = 24
2. 2 × 12 = 24
3. 3 × 8 = 24
4. 4 × 6 = 24

So, the factor pairs of 24 are:

(1, 24), (2, 12), (3, 8), and (4, 6)

### Answer: (1, 24), (2, 12), (3, 8), and (4, 6)

Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 97.

Llama 3 70B: 

Since 97 is a prime number, it only has two factors: 1 and 97. Therefore, the only factor pair of 97 is:

1 × 97

### Answer: 1 × 97.

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

Llama 3 70B: 

To find the factor pairs of 57, we need to find all the whole numbers that divide 57 exactly without leaving a remainder.

The factors of 57 are: 1 and 57.

Since 57 is a prime number, it only has two factors: 1 and itself. Therefore, the only factor pair of 57 is:

1 × 57 = 57

### Answer: (1, 57).

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

Correct? No

🔗 Problem

Problem: List down all the factor pairs of 19.

Llama 3 70B: 

Since 19 is a prime number, it only has two factor pairs:

1. 1 × 19 = 19
2. 19 × 1 = 19

### Answer: (1, 19) and (19, 1)

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

Llama 3 70B: 

To find the factor pairs of 38, we need to find all the whole numbers that divide 38 exactly without leaving a remainder.

The factors of 38 are: 1, 2, 19, and 38.

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.

Llama 3 70B: 

To find the factor pairs of 6, we need to find all the whole numbers that divide 6 exactly without leaving a remainder.

The factors of 6 are: 1, 2, 3, and 6.

The factor pairs of 6 are:
1 × 6 = 6
2 × 3 = 6

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

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

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

Llama 3 70B: 

Since 17 is a prime number, it only has two factor pairs:

1 × 17
-1 × -17

### Answer: 1 × 17 and -1 × -17.

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

Llama 3 70B: 

To find the factor pairs of 45, I'll list all the possible combinations of numbers that multiply to 45:

1. 1 × 45 = 45
2. 3 × 15 = 45
3. 5 × 9 = 45

These are all the possible factor pairs of 45.

### 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.

Llama 3 70B: 

To find the factor pairs of 36, I'll list all the possible combinations of numbers that multiply to 36:

1. 1 × 36 = 36
2. 2 × 18 = 36
3. 3 × 12 = 36
4. 4 × 9 = 36
5. 6 × 6 = 36

These are all the factor pairs of 36.

### 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 factor pairs of 89?

Llama 3 70B: 

Since 89 is a prime number, it only has two factor pairs: 1 and 89, and 89 and 1.

### Answer: (1, 89) and (89, 1).

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 89.

Llama 3 70B: 

Since 89 is a prime number, it only has two factors: 1 and 89. Therefore, the only factor pair of 89 is:

1 × 89

### Answer: 1 × 89.

Expected answer: [(1, 89)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 44, I'll list all the possible combinations of numbers that multiply to 44:

1. 1 × 44 = 44
2. 2 × 22 = 44
3. 4 × 11 = 44

These are all the possible factor pairs of 44.

### 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.

Llama 3 70B: 

To find the factor pairs of 36, we need to find all the whole numbers that divide 36 exactly without leaving a remainder.

Let's start with 1 and 36, since 1 multiplied by 36 equals 36.

1 × 36 = 36

Next, we can try 2 and 18, since 2 multiplied by 18 equals 36.

2 × 18 = 36

Then, we can try 3 and 12, since 3 multiplied by 12 equals 36.

3 × 12 = 36

Finally, we can try 4 and 9, since 4 multiplied by 9 equals 36.

4 × 9 = 36

We have found all the factor pairs of 36:

1 × 36
2 × 18
3 × 12
4 × 9

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

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

Correct? No

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 35, I'll list all the possible combinations of numbers that multiply to 35:

1. 1 × 35 = 35
2. 5 × 7 = 35

These are the only two factor pairs of the number 35.

### Answer: (1, 35) and (5, 7)

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

Llama 3 70B: 

To find the factor pairs of 22, I'll list all the possible combinations of numbers that multiply to 22:

1. 1 × 22 = 22
2. 2 × 11 = 22

These are the only two factor pairs of 22.

### Answer: (1, 22) and (2, 11)

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

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

Llama 3 70B: 

To find the factor pairs of 40, we need to find all the whole numbers that divide 40 exactly without leaving a remainder.

Let's start with 1 and 40, since 1 multiplied by 40 equals 40.

1 x 40 = 40

Next, we can try 2 and 20, since 2 multiplied by 20 equals 40.

2 x 20 = 40

Then, we can try 4 and 10, since 4 multiplied by 10 equals 40.

4 x 10 = 40

Finally, we can try 5 and 8, since 5 multiplied by 8 equals 40.

5 x 8 = 40

We have found all the factor pairs of 40:

1 x 40
2 x 20
4 x 10
5 x 8

### Answer: The factor pairs of 40 are (1, 40), (2, 20), (4, 10), and (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.

Llama 3 70B: 

To find the factor pairs of 64, I'll list all the possible combinations of numbers that multiply to 64:

1. 1 × 64 = 64
2. 2 × 32 = 64
3. 4 × 16 = 64
4. 8 × 8 = 64

These are all the possible factor pairs of 64.

### 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.

Llama 3 70B: 

To find the factor pairs of 30, we need to find all the whole numbers that divide 30 exactly without leaving a remainder.

Let's start with 1 and 30, since 1 multiplied by 30 equals 30.

1 × 30 = 30

Next, we can try 2 and 15, since 2 multiplied by 15 equals 30.

2 × 15 = 30

Then, we can try 3 and 10, since 3 multiplied by 10 equals 30.

3 × 10 = 30

Finally, we can try 5 and 6, since 5 multiplied by 6 equals 30.

5 × 6 = 30

We have found all the factor pairs of 30:

1 × 30
2 × 15
3 × 10
5 × 6

### Answer: The factor pairs of 30 are (1, 30), (2, 15), (3, 10), and (5, 6).

Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 59.

Llama 3 70B: 

Since 59 is a prime number, it only has two factor pairs: 1 and 59, and 59 and 1.

### Answer: (1, 59) and (59, 1).

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

Llama 3 70B: 

To find the factor pairs of 18, I'll list all the possible combinations of numbers that multiply to 18:

1. 1 × 18 = 18
2. 2 × 9 = 18
3. 3 × 6 = 18

These are all the possible factor pairs of 18.

### 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.

Llama 3 70B: 

Since 61 is a prime number, it only has two factor pairs:

1 × 61
-1 × -61

### Answer: 1 × 61 and -1 × -61.

Expected answer: [(1, 61)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 86, we need to find all the whole numbers that divide 86 exactly without leaving a remainder.

Let's start by listing the factors of 86:

1, 2, 43, 86

Now, we can form the factor pairs by pairing each factor with its corresponding quotient:

1 × 86 = 86
2 × 43 = 86

So, 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.

Llama 3 70B: 

To find the factor pairs of 57, I'll list out all the possible factors:

1. 1 × 57 = 57
2. There are no other factors of 57 because it is a prime number.

So, the only factor pair of 57 is:

1 and 57

### Answer: 1 and 57.

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

Correct? No

🔗 Problem

Problem: What are all factor pairs of 38?

Llama 3 70B: 

To find the factor pairs of 38, we need to find all the whole numbers that divide 38 exactly without leaving a remainder.

The factors of 38 are: 1, 2, 19, and 38.

The factor pairs of 38 are:
1 × 38 = 38
2 × 19 = 38

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

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

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

Llama 3 70B: 

To find the factor pairs of 27, I'll list all the possible combinations of numbers that multiply to 27:

1. 1 × 27 = 27
2. 3 × 9 = 27

These are the only two factor pairs of 27.

### Answer: (1, 27) and (3, 9)

Expected answer: [(1, 27), (3, 9)]

Correct? Yes

🔗 Problem

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

Llama 3 70B: 

To find the factor pairs of 78, I'll list all the possible combinations of numbers that multiply to 78:

1. 1 × 78 = 78
2. 2 × 39 = 78
3. 3 × 26 = 78
4. 6 × 13 = 78

These are all the possible factor pairs of 78.

### 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.

Llama 3 70B: 

Since 23 is a prime number, it only has two factor pairs:

1. 1 × 23
2. 23 × 1

### Answer: 1 × 23 and 23 × 1.

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

Llama 3 70B: 

To find the factor pairs of 2, I'll list down all the possible combinations of numbers that multiply to 2:

1. 1 × 2 = 2
2. 2 × 1 = 2

These are the only two factor pairs of 2.

### Answer: (1, 2) and (2, 1)

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

Llama 3 70B: 

To find the factor pairs of 49, I will list all the possible combinations of numbers that multiply to 49:

1 × 49 = 49
7 × 7 = 49

These are the only two factor pairs of 49.

### Answer: (1, 49) and (7, 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.

Llama 3 70B: 

To find the distinct pairs of factors that can multiply to give the number 93, we can start by listing the factors of 93:

1, 3, 31, 93

The distinct pairs of factors that can multiply to give 93 are:

1 × 93 = 93
3 × 31 = 93

### Answer: (1, 93) and (3, 31).

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

Correct? Yes