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 242 as a product of prime factors in index form.
Answer: 2×112
- 242 = 2 × 121
- 121 = 11 × 11
- So 242 = 2 × 11 × 11 = 2 × 112
2.Which number has the prime factorisation 2 × 3 × 5 × 7?
Answer: 210
- 2 × 3 × 5 × 7 = 210
3.Use a factor tree to write 98 as a product of prime factors in index form.
Answer: 2×72
- 98 = 2 × 49
- 49 = 7 × 7
- So 98 = 2 × 7 × 7 = 2 × 72
4.Which number has the prime factorisation 52 × 11?
Answer: 275
- 5 × 5 × 11 = 275
5.Use a factor tree to write 60 as a product of prime factors in index form.
Answer: 22×3×5
- 60 = 2 × 30
- 30 = 2 × 15
- 15 = 3 × 5
- So 60 = 2 × 2 × 3 × 5 = 22 × 3 × 5
6.Which number has the prime factorisation 23 × 3 × 7?
Answer: 168
- 2 × 2 × 2 × 3 × 7 = 168
7.Use a factor tree to write 495 as a product of prime factors in index form.
Answer: 32×5×11
- 495 = 3 × 165
- 165 = 3 × 55
- 55 = 5 × 11
- So 495 = 3 × 3 × 5 × 11 = 32 × 5 × 11
8.Which number has the prime factorisation 2 × 3 × 5 × 11?
Answer: 330
- 2 × 3 × 5 × 11 = 330
Marking tips
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