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.

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Prime Factorization - Factor to 3 Factors Worksheet

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Math worksheet on 'Prime Factorization - Factor to 3 Factors (Level 3)'. 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
20
a
{2, 2, 2, 5}
b
{2, 2, 5, 7}
c
{2, 2, 5}
d
{2, 2, 5, 11}
e
{2, 2, 5, 13}
f
{2, 2, 3, 5}
2
Show the prime factorization of this number
68
a
{2, 2, 13, 17}
b
{2, 2, 5, 17}
c
{2, 2, 7, 17}
d
{2, 2, 2, 17}
e
{2, 2, 17}
f
{2, 2, 11, 17}
3
Show the prime factorization of this number
78
a
{2, 3, 5, 13}
b
{2, 3, 7, 13}
c
{2, 3, 13}
d
{2, 2, 3, 13}
e
{2, 3, 11, 13}
f
{2, 3, 13, 13}
4
Show the prime factorization of this number
66
a
{2, 3, 5, 11}
b
{2, 3, 7, 11}
c
{2, 2, 3, 11}
d
{2, 3, 11, 11}
e
{2, 3, 11}
f
{2, 3, 3, 11}
5
Show the prime factorization of this number
50
a
{2, 2, 5, 5}
b
{2, 5, 5, 5}
c
{2, 3, 5, 5}
d
{2, 5, 5, 13}
e
{2, 5, 5}
f
{2, 5, 5, 11}
6
Show the prime factorization of this number
114
a
{2, 3, 3, 19}
b
{2, 3, 13, 19}
c
{2, 2, 3, 19}
d
{2, 3, 19}
e
{2, 3, 7, 19}
f
{2, 3, 11, 19}
7
Show the prime factorization of this number
117
a
{3, 3, 3, 13}
b
{3, 3, 7, 13}
c
{3, 3, 13}
d
{3, 3, 11, 13}
e
{3, 3, 5, 13}
f
{3, 3, 13, 13}