Question

What is the prime factorization of 72?

0.2² x 32
O 22 x 33
O 23 x 32
O 23 x 33

Answer 1

So, the prime factorisation of 72 are 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers.

Explanation:

Answer 2

`2^3* 3^2`

Explanation:

`72\\\\72\:\mathrm{divides\:by}\:2\quad \:72=36*\:2\\\\=2*\:36\\\\36\:\mathrm{divides\:by}\:2\quad \:36=18*\:2\\\\=2*\:2*\:18\\\\18\:\mathrm{divides\:by}\:2\quad \:18=9*\:2\\\\=2*\:2*\:2*\:9\\\\9\:\mathrm{divides\:by}\:3\quad \:9=3*\:3\\\\=2*\:2*\:2*\:3*\:3\\\\2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}\\\\=2*\:2*\:2*\:3*\:3\\\\=2^3* 3^2`