List All Factors Worksheets - 15 Worksheets Library - Free Printable

To solve this task, we need to find all the factor pairs for each number listed (24, 30, 36, 45, and 42). A factor pair is two numbers that multiply together to give the original number.

Let’s go step by step:

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Problem 2: Factor pairs of 24

We start with 1 and work up:
- 1 × 24 = 24 → (1, 24)
- 2 × 12 = 24 → (2, 12)
- 3 × 8 = 24 → (3, 8)
- 4 × 6 = 24 → (4, 6)

Next would be 5 — but 24 ÷ 5 = 4.8 → not a whole number → stop here.

So factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

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Problem 3: Factor pairs of 30

Start from 1:
- 1 × 30 = 30 → (1, 30)
- 2 × 15 = 30 → (2, 15)
- 3 × 10 = 30 → (3, 10)
- 5 × 6 = 30 → (5, 6)

Next is 6 — already used → stop.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

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Problem 4: Factor pairs of 36

Start from 1:
- 1 × 36 = 36 → (1, 36)
- 2 × 18 = 36 → (2, 18)
- 3 × 12 = 36 → (3, 12)
- 4 × 9 = 36 → (4, 9)
- 6 × 6 = 36 → (6, 6) ← same number twice, still counts as one pair

Next is 7 — 36 ÷ 7 ≈ 5.14 → not whole → stop.

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

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Problem 5: Factor pairs of 45

Start from 1:
- 1 × 45 = 45 → (1, 45)
- 3 × 15 = 45 → (3, 15)
- 5 × 9 = 45 → (5, 9)

Next is 6 — 45 ÷ 6 = 7.5 → no → stop.

Factors of 45: 1, 3, 5, 9, 15, 45

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Problem 6: Factor pairs of 42

Start from 1:
- 1 × 42 = 42 → (1, 42)
- 2 × 21 = 42 → (2, 21)
- 3 × 14 = 42 → (3, 14)
- 6 × 7 = 42 → (6, 7)

Next is 7 — already used → stop.

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

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Now let’s write them in order as requested on the worksheet.

Final Answer:

2. The factor pairs of 24:
1 × 24
2 × 12
3 × 8
4 × 6
The factor of 24: 1, 2, 3, 4, 6, 8, 12, 24

3. The factor pairs of 30:
1 × 30
2 × 15
3 × 10
5 × 6
The factor of 30: 1, 2, 3, 5, 6, 10, 15, 30

4. The factor pairs of 36:
1 × 36
2 × 18
3 × 12
4 × 9
6 × 6
The factor of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

5. The factor pairs of 45:
1 × 45
3 × 15
5 × 9
The factor of 45: 1, 3, 5, 9, 15, 45

6. The factor pairs of 42:
1 × 42
2 × 21
3 × 14
6 × 7
The factor of 42: 1, 2, 3, 6, 7, 14, 21, 42