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Prime Factors Worksheet

A Grade 8 math worksheet focusing on identifying and calculating prime factors of numbers.

Grade 8 Math Number SensePrime Factors
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

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

Topics

mathgrade 8prime factorsnumber sense
7 sections · Free to use · Printable
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Prime Factors Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following is a prime number?

a

9

b

15

c

23

d

27

2. What are the prime factors of 12?

a

2, 3, 4

b

2, 2, 3

c

1, 2, 3, 6

d

6, 2

3. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The number 1 is not considered a   number.

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

5. Find the prime factorization of 36 using a factor tree. Write your answer in exponential form.

6. Explain why 4 is not a prime number.

7. The number 2 is the only even prime number.

T

True

F

False

8. Every composite number can be expressed as a product of prime numbers.

T

True

F

False

9. Find the prime factorization of 60. You may use any method you prefer (e.g., factor tree or division method).