6th Grade Prime Factorization (Factor Trees) Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — 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 770 as a product of prime factors in index form.
Answer: 2×5×7×11
- 770 = 2 × 385
- 385 = 5 × 77
- 77 = 7 × 11
- So 770 = 2 × 5 × 7 × 11 = 2 × 5 × 7 × 11
2.Which number has the prime factorization 3 × 7 × 11?
Answer: 231
- 3 × 7 × 11 = 231
3.Use a factor tree to write 275 as a product of prime factors in index form.
Answer: 52×11
- 275 = 5 × 55
- 55 = 5 × 11
- So 275 = 5 × 5 × 11 = 52 × 11
4.Which number has the prime factorization 22 × 3 × 5?
Answer: 60
- 2 × 2 × 3 × 5 = 60
5.Use a factor tree to write 245 as a product of prime factors in index form.
Answer: 5×72
- 245 = 5 × 49
- 49 = 7 × 7
- So 245 = 5 × 7 × 7 = 5 × 72
6.Which number has the prime factorization 32 × 72?
Answer: 441
- 3 × 3 × 7 × 7 = 441
7.Use a factor tree to write 660 as a product of prime factors in index form.
Answer: 22×3×5×11
- 660 = 2 × 330
- 330 = 2 × 165
- 165 = 3 × 55
- 55 = 5 × 11
- So 660 = 2 × 2 × 3 × 5 × 11 = 22 × 3 × 5 × 11
8.Which number has the prime factorization 22 × 3 × 7?
Answer: 84
- 2 × 2 × 3 × 7 = 84
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.