What is the prime factorization of 72? One way to find all the - ProProfs Discuss

# What is the prime factorization of 72? One way to find all the factors of 72 is to find its prime factorization.

A. 3 x 3 x 3 x 2 x 2
B. 6 x 3 x 2 x 2
C. 2 x 2 x 2 x 3 x 3 x 3
D. 9 x 2 x 2 x 3

Asked by Goldenkeycc, Last updated: Mar 20, 2019

Its kind of my job to give answers

Teacher, MCA, PhD, Toledo

The correct answer would be A, or 2 x 2 x 2 x 3 x 3. This multiplies out to be 72. I arrived at this answer by first dividing 72 by 6, which left me with a 6 and a 12 to be factored. 12 was then factored into 6 and 2.

The two sixes were factored into two and three. This left me with three twos and two threes. Therefore, I chose answer A. The other answers are all wrong for a variety of reasons.

For example, answer B isn’t fully factored; there’s still a 6 there. Answer C has an extra three. Answer D is just all over the place - it has a nine and what looks to be an extra three.

2 x 2 x 2 x 3 x 3 is the correct answer. 2 x 2 is 4 x 2 is 8 x 3 is 24 x 3 is 72, but with the extra 3 its 72 x 3= 216

Goldenkeycc