Based on my analysis of the prime factorization worksheet, I have solved all nine problems by finding the prime factors for each number. Here's the complete solution:
Row 1:
1.
27: The prime factorization is 3 × 3 × 3. The tree should show 3 on the left branch and 9 on the right branch, with 3 and 3 as the final branches from 9.
2.
20: The prime factorization is 2 × 2 × 5. The tree should show 2 on the left branch and 10 on the right branch, with 2 and 5 as the final branches from 10.
3.
63: The prime factorization is 3 × 3 × 7. The tree should show 7 on the left branch and 9 on the right branch, with 3 and 3 as the final branches from 9.
Row 2:
4.
68: The prime factorization is 2 × 2 × 17. The tree should show 2 on the left branch and 34 on the right branch, with 2 and 17 as the final branches from 34.
5.
75: The prime factorization is 3 × 5 × 5. The tree should show 3 on the left branch and 25 on the right branch, with 5 and 5 as the final branches from 25.
6.
52: The prime factorization is 2 × 2 × 13. The tree should show 2 on the left branch and 26 on the right branch, with 2 and 13 as the final branches from 26.
Row 3:
7.
42: The prime factorization is 2 × 3 × 7. The tree should show 2 on the left branch and 21 on the right branch, with 3 and 7 as the final branches from 21.
8.
45: The prime factorization is 3 × 3 × 5. The tree should show 5 on the left branch and 9 on the right branch, with 3 and 3 as the final branches from 9.
9.
99: The prime factorization is 3 × 3 × 11. The tree should show 9 on the left branch and 11 on the right branch, with 3 and 3 as the final branches from 9.
These solutions provide the complete prime factorization for each number using the tree diagram format requested in the worksheet.
Parent Tip: Review the logic above to help your child master the concept of prime factors worksheet 6th grade.
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