Prime Factorization - Factor to 2 Factors (Level 2)

This math topic focuses on practicing prime factorization with the task of expressing numbers as a product of prime factors, but specifically breaking them down into exactly two factors. It tests the ability to determine the prime components of various numbers, including 22, 35, 77, 33, and 21. The problems are multiple-choice, which helps in understanding different possible combinations of primes that can multiply together to form the original number. This exercise forms part of a broader unit on factoring and primes.

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

Prime Factorization - Factor to 2 Factors Worksheet

Math worksheet on 'Prime Factorization - Factor to 2 Factors (Level 2)'. Part of a broader unit on 'Factoring and Primes - Intro' Learn online: app.mobius.academy/math/units/factoring_and_primes_intro/

1

Show the prime factorization of this number

33

a

{2, 3, 11}

b

{3, 11}

c

{3, 11, 11}

d

{3, 5, 11}

e

{3, 3, 11}

f

{3, 11, 13}

2

Show the prime factorization of this number

35

a

{2, 5, 7}

b

{5, 7, 13}

c

{5, 7}

d

{3, 5, 7}

e

{5, 7, 11}

f

{5, 5, 7}

3

Show the prime factorization of this number

22

a

{2, 11, 13}

b

{2, 5, 11}

c

{2, 3, 11}

d

{2, 2, 11}

e

{2, 11}

f

{2, 7, 11}

4

Show the prime factorization of this number

21

a

{3, 7, 13}

b

{3, 7}

c

{3, 5, 7}

d

{3, 3, 7}

e

{3, 7, 11}

f

{3, 7, 7}

5

Show the prime factorization of this number

77

a

{7, 7, 11}

b

{3, 7, 11}

c

{5, 7, 11}

d

{7, 11, 13}

e

{7, 11}

f

{2, 7, 11}