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Factor Trees Worksheet

A Grade 7 math worksheet focusing on constructing and understanding factor trees to find prime factorization.

Grade 7 Math Number SenseFactor Trees
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

mathgrade 7factor treesprime factorizationnumber sense
7 sections · Free to use · Printable
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Factor Trees: Prime Factorization

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Read each question carefully and follow the instructions to complete the factor trees and find the prime factorization of each number.

1. Complete the factor tree for the number 36. Write the prime factorization below.

362182933

Prime Factorization of 36:


2. Complete the factor tree for the number 60. Write the prime factorization below.

606102325

Prime Factorization of 60:

3. The prime factorization of 48 is  .

4. The prime factorization of 75 is  .

5. The prime factorization of 90 is  .

6. Which of the following is the correct prime factorization of 24?

a

2 x 2 x 6

b

2 x 3 x 4

c

2 x 2 x 2 x 3

d

3 x 8

7. Which of the following numbers has the prime factorization 2 x 3 x 5?

a

10

b

15

c

30

d

60

8. All numbers have a unique prime factorization.

T

True

F

False

9. The number 1 is considered a prime number.

T

True

F

False

10. Explain in your own words what a prime number is and why it's important in factor trees.