6th Grade Prime Factorization (Factor Trees) Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade factors, multiples & primes worksheet.
Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Factors, Multiples & Primes6th Grade Prime Factorization (Factor Trees) Worksheet — Level 2 — Practice Set 3 — 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 70 as a product of prime factors.
Answer: 2×5×7
- 70 = 2 × 35
- 35 = 5 × 7
- So 70 = 2 × 5 × 7
2.Use a factor tree to write 100 as a product of prime factors.
Answer: 2×2×5×5
- 100 = 2 × 50
- 50 = 2 × 25
- 25 = 5 × 5
- So 100 = 2 × 2 × 5 × 5 = 22 × 52
3.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
4.Which number has the prime factorization 3 × 52?
Answer: 75
- 3 × 5 × 5 = 75
5.Use a factor tree to write 250 as a product of prime factors.
Answer: 2×5×5×5
- 250 = 2 × 125
- 125 = 5 × 25
- 25 = 5 × 5
- So 250 = 2 × 5 × 5 × 5 = 2 × 53
6.Use a factor tree to write 120 as a product of prime factors.
Answer: 2×2×2×3×5
- 120 = 2 × 60
- 60 = 2 × 30
- 30 = 2 × 15
- 15 = 3 × 5
- So 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
7.Use a factor tree to write 105 as a product of prime factors.
Answer: 3×5×7
- 105 = 3 × 35
- 35 = 5 × 7
- So 105 = 3 × 5 × 7
8.Which number has the prime factorization 22 × 33?
Answer: 108
- 2 × 2 × 3 × 3 × 3 = 108
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