Find the Prime Factorization 288

$288$

Step 1

$288$ has factors of $2$ and $144$ .

$2 \cdot 144$

Step 2

$144$ has factors of $2$ and $72$ .

$2 \cdot 2 \cdot 72$

Step 3

$72$ has factors of $2$ and $36$ .

$2 \cdot 2 \cdot 2 \cdot 36$

Step 4

$36$ has factors of $2$ and $18$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 18$

Step 5

$18$ has factors of $2$ and $9$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 9$

Step 6

$9$ has factors of $3$ and $3$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3$