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

Answer:

$2^3\times 3^2$

Step-by-step explanation:

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