Prime Factorization - Factor to 4 Factors (Level 3)

This math topic focuses on practicing prime factorization by breaking down numbers into their prime factors, specifically to achieve four factors when possible. This skill is part of a larger unit concerning Factoring and the Greatest Common Factor. The task involves identifying the set of prime factors that constitute a given number, providing deep engagement with the factorization process. Throughout the problems, students determine the prime components of numbers such as 104, 100, 36, 16, 54, 126, and 88, enhancing their understanding of the structure of numbers and their prime bases.

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

Prime Factorization - Factor to 4 Factors Worksheet

Math worksheet on 'Prime Factorization - Factor to 4 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

54

a

{2, 9, 3}

b

{2, 3, 3, 3}

c

{2, 3, 3}

d

{2, 3, 3, 3, 13}

e

{2, 3, 3, 3, 3}

f

{2, 3, 9}

2

Show the prime factorization of this number

60

a

{2, 2, 2, 3, 5}

b

{2, 2, 3}

c

{2, 2, 3, 5, 5}

d

{2, 2, 3, 5, 7}

e

{2, 3, 5}

f

{2, 2, 3, 5}

3

Show the prime factorization of this number

104

a

{2, 2, 13}

b

{2, 2, 2, 13}

c

{2, 2, 26}

d

{2, 2, 2, 11, 13}

e

{2, 2, 2, 2, 13}

f

{2, 4, 13}

4

Show the prime factorization of this number

88

a

{2, 2, 2, 11}

b

{2, 2, 22}

c

{2, 4, 11}

d

{2, 2, 11}

e

{2, 2, 2, 2, 11}

f

{2, 2, 2, 5, 11}

5

Show the prime factorization of this number

16

a

{2, 2, 2, 2, 2}

b

{2, 2, 2, 2, 3}

c

{2, 4, 2}

d

{2, 2, 4}

e

{2, 2, 2, 2}

f

{2, 2, 2}

6

Show the prime factorization of this number

126

a

{2, 3, 3, 7}

b

{2, 3, 3, 7, 7}

c

{2, 9, 7}

d

{2, 3, 7}

e

{2, 3, 3, 5, 7}

f

{2, 3, 3, 7, 11}

7

Show the prime factorization of this number

100

a

{2, 2, 5, 5}

b

{2, 2, 5}

c

{2, 2, 5, 5, 11}

d

{2, 2, 2, 5, 5}

e

{2, 2, 3, 5, 5}

f

{2, 10, 5}