5th Grade Prime Factorization (Factor Trees) Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 5th Grade factors, multiples & primes worksheet.
Success TutoringWorksheetsAnswer sheet5th Grade · Mathematics · Factors, Multiples & Primes5th Grade Prime Factorization (Factor Trees) Worksheet — Level 2 — Practice Set 4 — 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 175 as a product of prime factors.
Answer: 5×5×7
- 175 = 5 × 35
- 35 = 5 × 7
- So 175 = 5 × 5 × 7 = 52 × 7
2.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
3.Use a factor tree to write 84 as a product of prime factors.
Answer: 2×2×3×7
- 84 = 2 × 42
- 42 = 2 × 21
- 21 = 3 × 7
- So 84 = 2 × 2 × 3 × 7 = 22 × 3 × 7
4.Which number has the prime factorization 22 × 3 × 5?
Answer: 60
- 2 × 2 × 3 × 5 = 60
5.Use a factor tree to write 252 as a product of prime factors.
Answer: 2×2×3×3×7
- 252 = 2 × 126
- 126 = 2 × 63
- 63 = 3 × 21
- 21 = 3 × 7
- So 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7
6.Use a factor tree to write 54 as a product of prime factors.
Answer: 2×3×3×3
- 54 = 2 × 27
- 27 = 3 × 9
- 9 = 3 × 3
- So 54 = 2 × 3 × 3 × 3 = 2 × 33
7.Use a factor tree to write 210 as a product of prime factors.
Answer: 2×3×5×7
- 210 = 2 × 105
- 105 = 3 × 35
- 35 = 5 × 7
- So 210 = 2 × 3 × 5 × 7
8.Which number has the prime factorization 2 × 3 × 72?
Answer: 294
- 2 × 3 × 7 × 7 = 294
Marking tips
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