Find the prime factorization of 72.
A)1 · 2 · 2 · 2 · 3 · 3
B)2 · 3 · 3 · 4
C)2 · 2 · 2 · 3 · 3
D)8 · 9

Name: Find the prime factorization of 72. A)1 · 2 · 2 · 2 · 3 · 3 B)2 · 3 · 3 · 4 C)2 · 2 · 2 · 3 · 3 D)8 · 9
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Question

Quizplus · Accepted Answer

Prime factorize 72 by dividing by the smallest prime factor repeatedly until only prime factors remain. 
72 ÷ 2 = 36 
36 ÷ 2 = 18 
18 ÷ 2 = 9 
9 ÷ 3 = 3 
3 ÷ 3 = 1 
Therefore, the prime factorization of 72 is 2 · 2 · 2 · 3 · 3, which is choice C.

Find the Prime Factorization of 72