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

This question is part of Grade 8 Math - Ontario, Canada
Asked by Goldenkeycc, Last updated: Mar 20, 2019

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3 Answers

L. Bonadio

Its kind of my job to give answers

L. BonadioTeacher, MCA, PhD, Toledo
Teacher, MCA, PhD, Toledo

Answered on Jan 03, 2019

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.

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John Adney

John Adney

Answered on Nov 28, 2017

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

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goldenkeycc

Goldenkeycc

Answered on Sep 11, 2017

2 x 2 x 2 x 3 x 3 x 3
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