Find the Prime Factorization 512

$512$

Step 1

$512$ has factors of $2$ and $256$ .

$2 \cdot 256$

Step 2

$256$ has factors of $2$ and $128$ .

$2 \cdot 2 \cdot 128$

Step 3

$128$ has factors of $2$ and $64$ .

$2 \cdot 2 \cdot 2 \cdot 64$

Step 4

$64$ has factors of $2$ and $32$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 32$

Step 5

$32$ has factors of $2$ and $16$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 16$

Step 6

$16$ has factors of $2$ and $8$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 8$

Step 7

$8$ has factors of $2$ and $4$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 4$

Step 8

$4$ has factors of $2$ and $2$ .

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