Home / Worksheets / Grade 8 / Math / Grade 8 Factors and Multiples Worksheet

Grade 8 Factors and Multiples Worksheet

A worksheet for 8th-grade students covering factors, multiples, prime factorization, greatest common factor (GCF), and least common multiple (LCM).

Grade 8 Math Number SenseNumber TheoryFactors and Multiples
Use This Worksheet

Includes

Fill in the Blanks2 Multiple Choice2 Short AnswerTrue / False

Standards

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

Topics

mathgrade 8factorsmultiplesGCFLCMnumber theory
8 sections · Free to use · Printable
← More Math worksheets for Grade 8

Factors and Multiples Review

Name:

Date:

Score:

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

1. The numbers that divide evenly into another number are called its  .

2. The product of a number and any whole number is called a   of that number.

3. List all the factors of 48:  

4. List the first five multiples of 12:  

5. What is the greatest common factor (GCF) of 24 and 36?

a

6

b

12

c

72

d

144

6. The GCF of 18, 27, and 45 is:

a

3

b

9

c

18

d

135

7. What is the least common multiple (LCM) of 8 and 12?

a

4

b

24

c

48

d

96

8. Find the LCM of 6, 10, and 15.

a

30

b

60

c

90

d

150

9. Write the prime factorization of 72. Show your work.

10. Using prime factorization, find the GCF of 60 and 90.

11. Using prime factorization, find the LCM of 28 and 42.

12. All prime numbers are odd.

T

True

F

False

13. The number 1 is a prime number.

T

True

F

False

14. A baker has 72 cookies and 60 brownies. He wants to package them into boxes so that each box has the same number of cookies and the same number of brownies, with no leftovers. What is the greatest number of boxes he can make?

15. Two buses leave the station at the same time. Bus A completes its route in 45 minutes, and Bus B completes its route in 60 minutes. If they both started at 8:00 AM, what is the next time they will both be at the station at the same time?