Find the Prime Factorization 4096

$4096$

Step 1

$4096$ has factors of $2$ and $2048$ .

$2 \cdot 2048$

Step 2

$2048$ has factors of $2$ and $1024$ .

$2 \cdot 2 \cdot 1024$

Step 3

$1024$ has factors of $2$ and $512$ .

$2 \cdot 2 \cdot 2 \cdot 512$

Step 4

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

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 256$

Step 5

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

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 128$

Step 6

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

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

Step 7

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

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

Step 8

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

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

Step 9

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

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

Step 10

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

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

Step 11

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

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