Prime Factorization - Factor to 3 Factors (Level 3)

This math topic covers the skill of prime factorization, specifically focusing on expressing numbers as a product of three prime factors. It includes a variety of problems where students must determine the prime factorization of given numbers. Each question lists multiple choices for answers, indicating that it is formatted as a multiple-choice assessment to test students' ability to correctly identify and use prime numbers to factorize larger integers. This topic is part of broader practice on factoring and understanding prime numbers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Prime Factorization - Factor to 3 Factors Worksheet

Math worksheet on 'Prime Factorization - Factor to 3 Factors (Level 3)'. Part of a broader unit on 'Factoring and Primes - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_primes_advanced/

1

Show the prime factorization of this number

99

a

{3, 3, 7, 11}

b

{3, 3, 11}

c

{2, 3, 3, 11}

d

{3, 3, 11, 13}

e

{3, 3, 5, 11}

f

{3, 3, 3, 11}

2

Show the prime factorization of this number

20

a

{2, 2, 5, 5}

b

{2, 2, 2, 5}

c

{2, 2, 3, 5}

d

{2, 2, 5, 13}

e

{2, 2, 5}

f

{2, 2, 5, 11}

3

Show the prime factorization of this number

110

a

{2, 5, 11, 11}

b

{2, 2, 5, 11}

c

{2, 5, 7, 11}

d

{2, 3, 5, 11}

e

{2, 5, 5, 11}

f

{2, 5, 11}

4

Show the prime factorization of this number

12

a

{2, 2, 3, 5}

b

{2, 2, 2, 3}

c

{2, 2, 3, 7}

d

{2, 2, 3, 13}

e

{2, 2, 3, 11}

f

{2, 2, 3}

5

Show the prime factorization of this number

76

a

{2, 2, 19}

b

{2, 2, 11, 19}

c

{2, 2, 13, 19}

d

{2, 2, 5, 19}

e

{2, 2, 3, 19}

f

{2, 2, 2, 19}

6

Show the prime factorization of this number

50

a

{2, 5, 5}

b

{2, 5, 5, 13}

c

{2, 3, 5, 5}

d

{2, 5, 5, 7}

e

{2, 2, 5, 5}

f

{2, 5, 5, 5}

7

Show the prime factorization of this number

125

a

{5, 5, 5, 5}

b

{5, 5, 5, 13}

c

{2, 5, 5, 5}

d

{3, 5, 5, 5}

e

{5, 5, 5}

f

{5, 5, 5, 11}