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Factors and Factor Pairs worksheet - Free Printable

Factors and Factor Pairs worksheet

Educational worksheet: Factors and Factor Pairs worksheet. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Factors and Factor Pairs worksheet
Let’s solve this step by step.

We need to find factor pairs for each number — that means two numbers that multiply together to give the original number. Then, we list all the factors in order from least to greatest, separated by commas.

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For 24:



Find factor pairs (a × b = 24):

- 1 × 24
- 2 × 12
- 3 × 8
- 4 × 6

(We stop here because next would be 6 × 4, which is already listed.)

Now list all unique factors from those pairs:
1, 2, 3, 4, 6, 8, 12, 24 → already in order!

Factor pairs of 24:
1 x 24
2 x 12
3 x 8
4 x 6

Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

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For 36:



Factor pairs (a × b = 36):

- 1 × 36
- 2 × 18
- 3 × 12
- 4 × 9
- 6 × 6 ← note: same number twice, still valid

Stop here — next would repeat.

List all unique factors:
1, 2, 3, 4, 6, 9, 12, 18, 36 → already in order!

Factor pairs of 36:
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36

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For 42:



Factor pairs (a × b = 42):

- 1 × 42
- 2 × 21
- 3 × 14
- 6 × 7

Next would be 7 × 6 — already done.

List all unique factors:
1, 2, 3, 6, 7, 14, 21, 42 → already in order!

Factor pairs of 42:
1 x 42
2 x 21
3 x 14
6 x 7

Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42

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Final Answer:

Factor pairs of 24:
1 x 24
2 x 12
3 x 8
4 x 6

Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

Factor pairs of 36:
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36

Factor pairs of 42:
1 x 42
2 x 21
3 x 14
6 x 7

Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
Parent Tip: Review the logic above to help your child master the concept of factor pairs worksheet.
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