Factor Tree Worksheets page - Free Printable

Let’s solve each factor tree step by step.

We’re breaking numbers into their prime factors — meaning we keep splitting until all the bottom circles are prime numbers (like 2, 3, 5, 7, etc.).

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Problem 1: 15

15 can be split into 3 and 5 — both are prime.

So:
15 = 3 × 5

✔ Done.

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Problem 2: 14

14 splits into 2 and 7 — both prime.

So:
14 = 2 × 7

✔ Done.

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Problem 3: 33

33 splits into 3 and 11 — both prime.

So:
33 = 3 × 11

✔ Done.

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Problem 4: 12

12 → 2 and 6 (since 2 is prime, leave it; now break 6)
6 → 2 and 3 (both prime)

So full breakdown: 2 × 2 × 3

Check: 2×2=4, 4×3=12 ✔

So:
12 = 2 × 2 × 3

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Problem 5: 30

30 → 2 and 15 (2 is prime; break 15)
15 → 3 and 5 (both prime)

So: 2 × 3 × 5

Check: 2×3=6, 6×5=30 ✔

So:
30 = 2 × 3 × 5

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Problem 6: 27

27 → 3 and 9 (3 is prime; break 9)
9 → 3 and 3 (both prime)

So: 3 × 3 × 3

Check: 3×3=9, 9×3=27 ✔

So:
27 = 3 × 3 × 3

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Problem 7: 20

20 → 2 and 10 (2 is prime; break 10)
10 → 2 and 5 (both prime)

So: 2 × 2 × 5

Check: 2×2=4, 4×5=20 ✔

So:
20 = 2 × 2 × 5

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Problem 8: 28

28 → 2 and 14 (2 is prime; break 14)
14 → 2 and 7 (both prime)

So: 2 × 2 × 7

Check: 2×2=4, 4×7=28 ✔

So:
28 = 2 × 2 × 7

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Problem 9: 45

45 → 3 and 15 (3 is prime; break 15)
15 → 3 and 5 (both prime)

So: 3 × 3 × 5

Check: 3×3=9, 9×5=45 ✔

So:
45 = 3 × 3 × 5

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Final Answer:
1) 15 = 3 × 5
2) 14 = 2 × 7
3) 33 = 3 × 11
4) 12 = 2 × 2 × 3
5) 30 = 2 × 3 × 5
6) 27 = 3 × 3 × 3
7) 20 = 2 × 2 × 5
8) 28 = 2 × 2 × 7
9) 45 = 3 × 3 × 5