Download Factor Trees KEY

Grade 6
Mathematics
Unit: 02 Lesson: 01
Factor Trees KEY
For each given product, you will create a factor tree that displays all the prime factors of a product.
Begin each tree by listing a pair of factors under the given product. If a factor is a composite number,
list a pair of factors under the composite factor. If the factor is a prime number, circle the factor.
Repeat this process until all the factors are prime numbers. Write a multiplication sentence using the
prime factors to verify the product is correct.
1. The product is 12.
2. The product is 10.
2 x 5 = 10
3 x 2 x 2 = 12
3. The product is 18.
4. The product is 15.
3 x 5 = 15
3 x 2 x 3 = 18
5. The product is 9.
6. The product is 8.
3x3=9
2x2x2=8
©2012, TESCCC
05/25/12
page 1 of 3
Grade 6
Mathematics
Unit: 02 Lesson: 01
Factor Trees KEY
For each given product, you will create a factor tree that displays all the prime factors of a product.
Begin each tree by listing a pair of factors under the given product. If a factor is a composite number,
list a pair of factors under the composite factor. If the factor is a prime number, circle the factor.
Repeat this process until all the factors are prime numbers. Write a multiplication sentence using the
prime factors to verify the product is correct.
7. The product is 24.
8. The product is 20.
5 x 2 x 2 = 20
3 x 2 x 2 x 2 = 24
9. The product is 21.
10. The product is 16.
3 x 7 = 21
2 x 2 x 2 x 2 = 16
12. The product is 25.
11. The product is 11.
Note: Since 11 is already a prime number, the
only prime factor is 11. 1 is written to show the
factor pair for 11.
1 x 11 = 11
©2012, TESCCC
05/25/12
5 x 5 = 25
page 2 of 3
Grade 6
Mathematics
Unit: 02 Lesson: 01
Factor Trees KEY
Use the information from problems 1 through 12 to complete the table below.
Product
Prime Factorization
Exponent Form
13. Product is 12
3 x 2 x 2 = 12
31 x 22 = 12
14. Product is 10
5 x 2 = 10
51 x 21 = 10
15. Product is 18
3 x 2 x 3 = 18
32 x 21 = 18
16. Product is 15
3 x 5 = 15
31 x 51 = 15
17. Product is 9
3x3=9
32 = 9
18. Product is 8
2x2x2=8
23 = 8
19. Product is 24
3 x 2 x 2 x 2 = 24
31 x 23 = 24
20. Product is 20
5 x 2 x 2 = 20
51 x 22 = 20
21. Product is 21
3 x 7 = 21
31 x 71 = 21
22. Product is 16
2 x 2 x 2 x 2 = 16
24 = 16
23. Product is 11
1 x 11 = 11
11 x 111 = 11
24. Product is 25
5 x 5 = 25
52 = 25
25. Write the following prime factorizations and products for the given exponents.
Exponents
Prime Factorization
Product
21 x 3 2
2x3x3
18
23 x 5 2
2x2x2x5x5
200
21 x 3 3
2x3x3x3
54
22 x 5 2
2x2x5x5
100
©2012, TESCCC
05/25/12
page 3 of 3