Year 6 Prime Factorisation (Factor Trees) Worksheet — Level 2 — 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 2 — Answers
Keep splitting each number into two factors until every branch ends in a prime. Write the primes from smallest to largest.
1.Use a factor tree to write 42 as a product of prime factors.
Answer: 2×3×7
- 42 = 2 × 21
- 21 = 3 × 7
- So 42 = 2 × 3 × 7
2.Use a factor tree to write 30 as a product of prime factors.
Answer: 2×3×5
- 30 = 2 × 15
- 15 = 3 × 5
- So 30 = 2 × 3 × 5
3.Use a factor tree to write 300 as a product of prime factors.
Answer: 2×2×3×5×5
- 300 = 2 × 150
- 150 = 2 × 75
- 75 = 3 × 25
- 25 = 5 × 5
- So 300 = 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52
4.Which number has the prime factorisation 2 × 3 × 5?
Answer: 30
- 2 × 3 × 5 = 30
5.Use a factor tree to write 225 as a product of prime factors.
Answer: 3×3×5×5
- 225 = 3 × 75
- 75 = 3 × 25
- 25 = 5 × 5
- So 225 = 3 × 3 × 5 × 5 = 32 × 52
6.Use a factor tree to write 60 as a product of prime factors.
Answer: 2×2×3×5
- 60 = 2 × 30
- 30 = 2 × 15
- 15 = 3 × 5
- So 60 = 2 × 2 × 3 × 5 = 22 × 3 × 5
7.Use a factor tree to write 175 as a product of prime factors.
Answer: 5×5×7
- 175 = 5 × 35
- 35 = 5 × 7
- So 175 = 5 × 5 × 7 = 52 × 7
8.Which number has the prime factorisation 32 × 52?
Answer: 225
- 3 × 3 × 5 × 5 = 225
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