What is 8+16 when you are doing a prime fractorization

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

∴ 8 = 2 * 2 * 2

And 16 = 2 * 2 * 2 * 2

∴ 8 + 16 = 2 * 2 * 2 + 2 * 2 * 2 * 2 ⇒⇒⇒ taking (2 * 2 * 2) as a common

∴ 8 + 16 = (2 * 2 * 2) (1 + 2)

= 2 * 2 * 2 * 3

= 24