Factors of numbers from 66 to 100 worksheet for math practice.

Let's solve the problem step by step based on the worksheet titled "Factors of numbers from 66 to 100".

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🔹 Part 1: Circle the factors of 44

Given numbers:
`1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66`

We need to circle all numbers that divide 44 exactly (no remainder).

Let’s find the factors of 44:
- 1 × 44 = 44 → 1 and 44
- 2 × 22 = 44 → 2 and 22
- 4 × 11 = 44 → 4 and 11

So, the factors of 44 are:
✔ 1, 2, 4, 11, 22, 44

Now, circle these in the list.

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🔹 Part 2: Write the factors of each number in the box

We are given several numbers: 52, 69, 74, 85, 88, 99, 100

Let’s find the factors of each:

#### ✔ Factors of 52
- 1 × 52 = 52
- 2 × 26 = 52
- 4 × 13 = 52

→ Factors: 1, 2, 4, 13, 26, 52

#### ✔ Factors of 69
- 1 × 69 = 69
- 3 × 23 = 69

→ Factors: 1, 3, 23, 69

#### ✔ Factors of 74
- 1 × 74 = 74
- 2 × 37 = 74

→ Factors: 1, 2, 37, 74

#### ✔ Factors of 85
- 1 × 85 = 85
- 5 × 17 = 85

→ Factors: 1, 5, 17, 85

#### ✔ Factors of 88
- 1 × 88 = 88
- 2 × 44 = 88
- 4 × 22 = 88
- 8 × 11 = 88

→ Factors: 1, 2, 4, 8, 11, 22, 44, 88

#### ✔ Factors of 99
- 1 × 99 = 99
- 3 × 33 = 99
- 9 × 11 = 99

→ Factors: 1, 3, 9, 11, 33, 99

#### ✔ Factors of 100
- 1 × 100 = 100
- 2 × 50 = 100
- 4 × 25 = 100
- 5 × 20 = 100
- 10 × 10 = 100

→ Factors: 1, 2, 4, 5, 10, 20, 25, 50, 100

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🔹 Part 3: Circle the factors of 66

List of numbers:
`1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66`

Find factors of 66:
- 1 × 66 = 66
- 2 × 33 = 66
- 3 × 22 = 66
- 6 × 11 = 66

→ Factors: 1, 2, 3, 6, 11, 22, 33, 66

Circle these.

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🔹 Part 4: Circle the factors of 96

Find factors of 96:
- 1 × 96 = 96
- 2 × 48 = 96
- 3 × 32 = 96
- 4 × 24 = 96
- 6 × 16 = 96
- 8 × 12 = 96

→ Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Circle these in the list.

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🔹 Part 5: Circle the factors of 78

Find factors of 78:
- 1 × 78 = 78
- 2 × 39 = 78
- 3 × 26 = 78
- 6 × 13 = 78

→ Factors: 1, 2, 3, 6, 13, 26, 39, 78

Circle these.

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🔹 Part 6: A prime number only has two factors. Find a number between 66 and 100 that is prime

A prime number has only two factors: 1 and itself.

Let’s check numbers from 66 to 100 for primality:

- 67: Only divisible by 1 and 67 → ✔ Prime
- 68 → even → not prime
- 69 → divisible by 3 → no
- 70 → even → no
- 71 → only 1 and 71 → ✔ Prime
- 72 → even → no
- 73 → only 1 and 73 → ✔ Prime
- 74 → even → no
- 75 → divisible by 5 → no
- 76 → even → no
- 77 → 7×11 → no
- 78 → even → no
- 79 → only 1 and 79 → ✔ Prime
- 80 → even → no
- 81 → 9² → no
- 82 → even → no
- 83 → only 1 and 83 → ✔ Prime
- 84 → even → no
- 85 → 5×17 → no
- 86 → even → no
- 87 → divisible by 3 → no
- 88 → even → no
- 89 → only 1 and 89 → ✔ Prime
- 90 → even → no
- 91 → 7×13 → no
- 92 → even → no
- 93 → divisible by 3 → no
- 94 → even → no
- 95 → 5×19 → no
- 96 → even → no
- 97 → only 1 and 97 → ✔ Prime
- 98 → even → no
- 99 → divisible by 3 → no
- 100 → even → no

So, any of these primes work:
67, 71, 73, 79, 83, 89, 97

You can write any one of them in the box.

For example: ✔ 73

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✔ Final Answer Summary

#### Part 1: Factors of 44 → Circle: 1, 2, 4, 11, 22, 44

#### Part 2: Factors of numbers
- 52 → 1, 2, 4, 13, 26, 52
- 69 → 1, 3, 23, 69
- 74 → 1, 2, 37, 74
- 85 → 1, 5, 17, 85
- 88 → 1, 2, 4, 8, 11, 22, 44, 88
- 99 → 1, 3, 9, 11, 33, 99
- 100 → 1, 2, 4, 5, 10, 20, 25, 50, 100

#### Part 3: Factors of 66 → Circle: 1, 2, 3, 6, 11, 22, 33, 66

#### Part 4: Factors of 96 → Circle: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

#### Part 5: Factors of 78 → Circle: 1, 2, 3, 6, 13, 26, 39, 78

#### Part 6: Prime number between 66 and 100 → Example: 73 (or 67, 71, 79, 83, 89, 97)

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