Year 6 Prime Factorisation (Factor Trees) Worksheet — Level 3 — 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 — 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 588 as a product of prime factors in index form.
Answer: 22×3×72
- 588 = 2 × 294
- 294 = 2 × 147
- 147 = 3 × 49
- 49 = 7 × 7
- So 588 = 2 × 2 × 3 × 7 × 7 = 22 × 3 × 72
2.Which number has the prime factorisation 3 × 5 × 11?
Answer: 165
- 3 × 5 × 11 = 165
3.Use a factor tree to write 700 as a product of prime factors in index form.
Answer: 22×52×7
- 700 = 2 × 350
- 350 = 2 × 175
- 175 = 5 × 35
- 35 = 5 × 7
- So 700 = 2 × 2 × 5 × 5 × 7 = 22 × 52 × 7
4.Which number has the prime factorisation 22 × 32 × 11?
Answer: 396
- 2 × 2 × 3 × 3 × 11 = 396
5.Use a factor tree to write 165 as a product of prime factors in index form.
Answer: 3×5×11
- 165 = 3 × 55
- 55 = 5 × 11
- So 165 = 3 × 5 × 11 = 3 × 5 × 11
6.Which number has the prime factorisation 2 × 3 × 5 × 11?
Answer: 330
- 2 × 3 × 5 × 11 = 330
7.Use a factor tree to write 315 as a product of prime factors in index form.
Answer: 32×5×7
- 315 = 3 × 105
- 105 = 3 × 35
- 35 = 5 × 7
- So 315 = 3 × 3 × 5 × 7 = 32 × 5 × 7
8.Which number has the prime factorisation 32 × 7?
Answer: 63
- 3 × 3 × 7 = 63
Marking tips
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