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Prime Factorization Practice

A Grade 8 math worksheet focused on understanding and applying prime factorization.

Grade 8 Math Number SensePrime Factorization
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Includes

Fill in the Blanks2 Short AnswerMultiple Choice

Standards

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

Topics

mathprime factorizationnumber sensegrade 8
6 sections · Free to use · Printable
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Prime Factorization Practice

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Read each question carefully and show your work for all prime factorization problems. Remember to write your final answer using exponents when appropriate.

1. A   number is a whole number greater than 1 that has exactly two factors: 1 and itself.

2. A   number is a whole number greater than 1 that has more than two factors.

3. The process of finding the prime numbers that multiply together to make the original number is called  .

Determine if each number is prime or composite. Explain your reasoning.

4. 23

5. 51

Find the prime factorization of each number. Write your answer using exponents.

6. 48

7. 72

8. 100

9. Which of the following is the prime factorization of 60?

a

2 x 3 x 10

b

2² x 3 x 5

c

4 x 3 x 5

d

2² x 15