Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you write the prime factorization of 72?

1 Answer

MathFact-orials.blogspot.com

Nov 26, 2016

$72 = 2 \times 36 = 2 \times 2 \times 18 = 2 \times 2 \times 2 \times 3 \times 3 = 2^{3} \times 3^{2}$ $72=2xx36=2xx2xx18=2xx2xx2xx3xx3=2^3xx3^2$

Explanation:

72 is even, so we can divide by 2 (and keep dividing by 2 until we no longer can):

$72 = 2 \times 36 = 2 \times 2 \times 18 = 2 \times 2 \times 2 \times 9$ $72=2xx36=2xx2xx18=2xx2xx2xx9$

And now we move on to 3:

$72 = 2 \times 36 = 2 \times 2 \times 18 = 2 \times 2 \times 2 \times 3 \times 3$ $72=2xx36=2xx2xx18=2xx2xx2xx3xx3$

Related questions

See all questions in Prime Factorization

Impact of this question

2004 views around the world

You can reuse this answer
Creative Commons License