How do you find the prime factorization of 288?

Answer 1

288 = 25 × 32


Divide the number by the smallest Prime number that you can, and repeat until it is not divisible, then use the next smallest prime.

288 = 2 x 144 = 2 x 2 x 72 = 2 x 2 x 2 x 36 = 2 x 2 x 2 x 2 x 18 = 2 x 2 x 2 x 2 x 2 x 9
= 2 x 2 x 2 x 2 x 2 x 3 x 3
---
i.e.
288 / 2 = 144
144 / 2 = 72
72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3