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Factor Trees Worksheet

Understand and apply factor trees to find the prime factorization of numbers.

Grade 8 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

mathfactor treesprime factorizationgrade 8
7 sections · Free to use · Printable
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Factor Trees Worksheet

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Follow the instructions for each section. Show all your work for factor trees.

Complete the factor tree for each number below.

1. Find the prime factorization of 48.

48 2 24 2 12

2. Find the prime factorization of 72.

72 8 9

Write the prime factorization for each number using exponents.

3. The prime factorization of 60 is  .

4. The prime factorization of 96 is  .

5. The prime factorization of 120 is  .

6. Which of the following is the correct prime factorization of 54?

a

2 × 3 × 9

b

2 × 3²

c

2 × 3³

d

6 × 9

Determine if the following statements are true or false.

7. The prime factors of 30 are 2, 3, and 5.

T

True

F

False

8. All numbers have only two prime factors.

T

True

F

False

9. Explain why a factor tree is a useful tool for finding the prime factorization of a number.