Absolutely! Let’s solve this worksheet step by step. The goal is to find
factor pairs (Section A) and
all factors of given numbers (Section B).
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##
✔ SECTION A: Complete the Factor Pairs
We are given one number in each multiplication pair — we need to find the missing number so that the product equals the target number.
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1. For 15:
- `1 x ___` → 1 × 15 = 15 →
15
- `3 x ___` → 3 × 5 = 15 →
5
✔ So:
1 x 15
3 x 5
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2. For 18:
- `___ x 18` → 1 × 18 = 18 →
1
- `2 x ___` → 2 × 9 = 18 →
9
- `___ x 6` → 3 × 6 = 18 →
3
✔ So:
1 x 18
2 x 9
3 x 6
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3. For 25:
- `1 x ___` → 1 × 25 = 25 →
25
- `5 x ___` → 5 × 5 = 25 →
5
✔ So:
1 x 25
5 x 5
*(Note: 25 is a perfect square, so 5 appears twice.)*
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4. For 30:
- `___ x 30` → 1 × 30 = 30 →
1
- `2 x ___` → 2 × 15 = 30 →
15
- `3 x ___` → 3 × 10 = 30 →
10
- `___ x ___` → We already have 1×30, 2×15, 3×10. Next would be 5×6 →
5 x 6
✔ So:
1 x 30
2 x 15
3 x 10
5 x 6
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##
✔ SECTION B: Write All Factors
Factors are all the whole numbers that divide the given number evenly (with no remainder). We list them from smallest to largest.
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Example: 10
Given: 1, 2, 5, 10
→ Because: 1×10=10, 2×5=10 → ✔️ Correct.
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1. 9
What numbers multiply to give 9?
- 1 × 9 = 9
- 3 × 3 = 9
So factors:
1, 3, 9
✔ Fill in:
1,
3,
9
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2. 16
What numbers multiply to give 16?
- 1 × 16 = 16
- 2 × 8 = 16
- 4 × 4 = 16
So factors:
1, 2, 4, 8, 16
✔ Fill in:
1,
2,
4,
8,
16
*(Note: There are 5 boxes, so we use all 5.)*
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3. 7
What numbers multiply to give 7?
- 1 × 7 = 7
- 7 is a prime number → only 1 and itself.
So factors:
1, 7
✔ Fill in:
1,
7
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4. 24
What numbers multiply to give 24?
Let’s list factor pairs:
- 1 × 24
- 2 × 12
- 3 × 8
- 4 × 6
So factors:
1, 2, 3, 4, 6, 8, 12, 24
✔ Fill in:
1,
2,
3,
4,
6,
8,
12,
24
*(There are 8 boxes — perfect match!)*
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## 🎯 FINAL ANSWERS:
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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 reinforce understanding of multiplication, division, and factors — key foundations for algebra and number theory. Great job working through it! 😊
Parent Tip: Review the logic above to help your child master the concept of factor sheet for math.
