Year 6 Prime Factorisation (Factor Trees) Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 6 factors, multiples & primes worksheet.
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Factors, Multiples & PrimesYear 6 Prime Factorisation (Factor Trees) Worksheet — Level 3 — Practice Set 4 — Answers
Keep splitting each number into two factors until every branch ends in a prime. Write repeated factors with an index, e.g. 2 × 2 × 2 = 23.
1.Use a factor tree to write 924 as a product of prime factors in index form.
Answer: 22×3×7×11
- 924 = 2 × 462
- 462 = 2 × 231
- 231 = 3 × 77
- 77 = 7 × 11
- So 924 = 2 × 2 × 3 × 7 × 11 = 22 × 3 × 7 × 11
2.Which number has the prime factorisation 23 × 3 × 52?
Answer: 600
- 2 × 2 × 2 × 3 × 5 × 5 = 600
3.Use a factor tree to write 175 as a product of prime factors in index form.
Answer: 52×7
- 175 = 5 × 35
- 35 = 5 × 7
- So 175 = 5 × 5 × 7 = 52 × 7
4.Which number has the prime factorisation 2 × 32 × 7?
Answer: 126
- 2 × 3 × 3 × 7 = 126
5.Use a factor tree to write 308 as a product of prime factors in index form.
Answer: 22×7×11
- 308 = 2 × 154
- 154 = 2 × 77
- 77 = 7 × 11
- So 308 = 2 × 2 × 7 × 11 = 22 × 7 × 11
6.Which number has the prime factorisation 22 × 32 × 11?
Answer: 396
- 2 × 2 × 3 × 3 × 11 = 396
7.Use a factor tree to write 600 as a product of prime factors in index form.
Answer: 23×3×52
- 600 = 2 × 300
- 300 = 2 × 150
- 150 = 2 × 75
- 75 = 3 × 25
- 25 = 5 × 5
- So 600 = 2 × 2 × 2 × 3 × 5 × 5 = 23 × 3 × 52
8.Which number has the prime factorisation 2 × 3 × 11?
Answer: 66
- 2 × 3 × 11 = 66
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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