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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Prime Factorization - Factor to 3 Factors
1
Show the prime factorization of this number
99
a
{2, 3, 3, 11}
b
{3, 3, 5, 11}
c
{3, 3, 3, 11}
d
{3, 3, 11}
e
{3, 3, 11, 13}
f
{3, 3, 7, 11}
2
Show the prime factorization of this number
50
a
{2, 5, 5, 13}
b
{2, 5, 5, 5}
c
{2, 2, 5, 5}
d
{2, 3, 5, 5}
e
{2, 5, 5}
f
{2, 5, 5, 11}
3
Show the prime factorization of this number
52
a
{2, 2, 7, 13}
b
{2, 2, 2, 13}
c
{2, 2, 11, 13}
d
{2, 2, 3, 13}
e
{2, 2, 13}
f
{2, 2, 13, 13}
4
Show the prime factorization of this number
114
a
{2, 3, 11, 19}
b
{2, 2, 3, 19}
c
{2, 3, 3, 19}
d
{2, 3, 19}
e
{2, 3, 7, 19}
f
{2, 3, 13, 19}
5
Show the prime factorization of this number
12
a
{2, 2, 3, 13}
b
{2, 2, 3, 3}
c
{2, 2, 2, 3}
d
{2, 2, 3, 11}
e
{2, 2, 3}
f
{2, 2, 3, 5}
6
Show the prime factorization of this number
30
a
{2, 3, 5, 7}
b
{2, 3, 5, 5}
c
{2, 3, 5}
d
{2, 3, 5, 13}
e
{2, 3, 5, 11}
f
{2, 3, 3, 5}
7
Show the prime factorization of this number
102
a
{2, 3, 3, 17}
b
{2, 3, 7, 17}
c
{2, 2, 3, 17}
d
{2, 3, 13, 17}
e
{2, 3, 11, 17}
f
{2, 3, 17}
8
Show the prime factorization of this number
110
a
{2, 5, 11, 13}
b
{2, 5, 7, 11}
c
{2, 5, 11, 11}
d
{2, 5, 11}
e
{2, 5, 5, 11}
f
{2, 3, 5, 11}