Prime Factorization - Factor to 3 Factors (Level 2)

This math topic focuses on prime factorization, where students must determine the sets of prime factors that multiply together to form specific numbers. Each problem requires factorization into three prime factors. The numbers provided for factorization include 27, 66, 63, 70, 44, 30, and 42. Students are given multiple choice sets of factors for each number and must identify the correct set of prime factors. This exercise is aimed at enhancing their understanding of factoring, multiplication, division, and fractions.

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 2)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Intro' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_intro/

1

Show the prime factorization of this number

70

a

{2, 5, 5, 7}

b

{2, 5, 7, 7}

c

{2, 5, 7, 11}

d

{2, 2, 5, 7}

e

{2, 5, 7}

f

{2, 5, 7, 13}

2

Show the prime factorization of this number

66

a

{2, 2, 3, 11}

b

{2, 3, 7, 11}

c

{2, 3, 11, 11}

d

{2, 3, 3, 11}

e

{2, 3, 11}

f

{2, 3, 11, 13}

3

Show the prime factorization of this number

42

a

{2, 3, 7, 13}

b

{2, 3, 7}

c

{2, 3, 7, 7}

d

{2, 3, 5, 7}

e

{2, 2, 3, 7}

f

{2, 3, 3, 7}

4

Show the prime factorization of this number

44

a

{2, 2, 3, 11}

b

{2, 2, 5, 11}

c

{2, 2, 11, 11}

d

{2, 2, 2, 11}

e

{2, 2, 11}

f

{2, 2, 7, 11}

5

Show the prime factorization of this number

63

a

{3, 3, 5, 7}

b

{3, 3, 7}

c

{3, 3, 3, 7}

d

{3, 3, 7, 7}

e

{3, 3, 7, 13}

f

{3, 3, 7, 11}

6

Show the prime factorization of this number

30

a

{2, 3, 5, 11}

b

{2, 3, 5, 7}

c

{2, 3, 5}

d

{2, 3, 3, 5}

e

{2, 3, 5, 13}

f

{2, 2, 3, 5}

7

Show the prime factorization of this number

27

a

{3, 3, 3, 5}

b

{2, 3, 3, 3}

c

{3, 3, 3}

d

{3, 3, 3, 7}

e

{3, 3, 3, 13}

f

{3, 3, 3, 11}