Free Printable Prime Factorization

Worksheets

Prime Factorization

Total questions: 20

Worksheet time: 12mins

Name

Class

Date

What are the prime factors of 27?

3x3x3

3x2x3

3x3x4

Find the prime factors of 45.

5x9

3x15

3x3x5

What are the prime factors of 90?

3x3x4x5

5x5x3

2x3x3x5

Find the prime factorization of 56.

2x2x2x7

2x28

3x3x7

What is the prime factorization of 20 written in exponential notation?

2 x 5

1 x 20

2 x 10

2² x 5

What is the prime factorization of 24 written in exponential notation?

2³ x 3

2² x 3 x 4

2² x 3

3 x 8

What is the prime factorization of 18?

9 x 2

3 x 2²

3² x 2

3³

The following prime factorization represents which number: 2² x 3 x 7

A prime number...

has one factor.

has more than 2 factors.

has 100 factors.

has exactly 2 factors: 1 and the itself.

10.

A composite number ...

has more than 2 factors.

has one factor.

has at least 10 factors.

is always a really big number.

11.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

2⋅3⋅5⋅7

2³⋅3²⋅5⋅7

2²⋅3²⋅5⋅7

8⋅9⋅35

12.

Find the prime factorization of 100 in exponential form.

10 × 10

5⁴

4 x 25

2²× 5²

13.

Find the prime factorization of 75 in exponential form.

3 × 5²

3²× 5

5 × 15

3²× 5²

14.

Is 5, a prime or composite number?

Prime

Composite

15.

Find ALL FACTORS of 24

1, 2, 12, 24

1, 2, 8, 24

1, 2, 3, 4, 5, 6, 8, 12, 24

1, 2, 3, 4, 6, 8, 12, 24

16.

1,2,8 and 16 are all factors of 16. Which factor is missing

17.

Which of the following numbers is a factor of 6?

18.

Complete the factor tree to find the prime factorization of 9.

9 = 3 x 3

9 = 9 x 1

9 = 9 x 9

19.

18 = 2 x 2 x 3

18 = 2 x 9

18 = 2 x 3 x 3

20.

Find the prime factors of 200.

$3^2\ \times2^5$

$2^3\ \times\ 5^2$

$2^4\ \times\ 5^2$

Reset

Prime Factorization

Total questions: 20

Worksheet time: 12mins

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