Factors (B) | Fun and Engaging 4th Grade PDF Worksheets - Free Printable

Absolutely! Let’s solve this worksheet step by step. The goal is to understand factors — numbers that divide evenly into another number (with no remainder).

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## 🔹 SECTION A: Complete the Factor Pairs

We are given one number in each multiplication pair, and we need to find the other number so that their product equals the main number.

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✔ 15

We are given:
- `1 x ___` → Since 1 × 15 = 15 → 15
- `3 x ___` → Since 3 × 5 = 15 → 5

✔ So, completed pairs:
- 1 x 15
- 3 x 5

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✔ 18

We are given:
- `___ x 18` → Since 1 × 18 = 18 → 1
- `2 x ___` → Since 2 × 9 = 18 → 9
- `___ x 6` → Since 3 × 6 = 18 → 3

✔ So, completed pairs:
- 1 x 18
- 2 x 9
- 3 x 6

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✔ 25

We are given:
- `1 x ___` → 1 × 25 = 25 → 25
- `5 x ___` → 5 × 5 = 25 → 5

✔ So, completed pairs:
- 1 x 25
- 5 x 5

*(Note: 5 is repeated because 25 is a perfect square.)*

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✔ 30

We are given:
- `___ x 30` → 1 × 30 = 30 → 1
- `2 x ___` → 2 × 15 = 30 → 15
- `3 x ___` → 3 × 10 = 30 → 10
- `___ x ___` → We need one more pair. Since 5 × 6 = 30, we can write 5 x 6

✔ So, completed pairs:
- 1 x 30
- 2 x 15
- 3 x 10
- 5 x 6

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## 🔹 SECTION B: List All Factors of Each Number

Factors are all the whole numbers that divide the given number exactly.

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✔ Example: 10 → Factors: 1, 2, 5, 10 ✔️ (Given)

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✔ 9

What numbers divide 9 evenly?
- 1 × 9 = 9 → 1, 9
- 3 × 3 = 9 → 3

✔ Factors of 9: 1, 3, 9

*(Only 3 boxes provided — so fill in: 1, 3, 9)*

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✔ 16

What numbers divide 16 evenly?
- 1 × 16 = 16 → 1, 16
- 2 × 8 = 16 → 2, 8
- 4 × 4 = 16 → 4

✔ Factors of 16: 1, 2, 4, 8, 16

*(There are 5 factors, but only 5 boxes shown — perfect!)*

Fill in: 1, 2, 4, 8, 16

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✔ 7

What numbers divide 7 evenly?
- 1 × 7 = 7 → 1, 7
- 7 is a prime number → only two factors!

✔ Factors of 7: 1, 7

*(Only 2 boxes provided — perfect!)*

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✔ 24

What numbers divide 24 evenly?
Let’s list them systematically:

- 1 × 24 → 1, 24
- 2 × 12 → 2, 12
- 3 × 8 → 3, 8
- 4 × 6 → 4, 6

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

*(There are 8 factors — and 8 boxes shown — perfect!)*

Fill in: 1, 2, 3, 4, 6, 8, 12, 24

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## 🎯 Final Answers Summary

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✔ SECTION A — Completed Factor Pairs:

15
- 1 x 15
- 3 x 5

18
- 1 x 18
- 2 x 9
- 3 x 6

25
- 1 x 25
- 5 x 5

30
- 1 x 30
- 2 x 15
- 3 x 10
- 5 x 6

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✔ SECTION B — All Factors:

9 → 1, 3, 9

16 → 1, 2, 4, 8, 16

7 → 1, 7

24 → 1, 2, 3, 4, 6, 8, 12, 24

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You’re all set! This worksheet helps build a strong foundation for multiplication, division, and later concepts like GCF and LCM. Great job working through it! 😊