Find the Prime Factorization 800

$800$

Step 1

$800$ has factors of $2$ and $400$ .

$2 \cdot 400$

Step 2

$400$ has factors of $2$ and $200$ .

$2 \cdot 2 \cdot 200$

Step 3

$200$ has factors of $2$ and $100$ .

$2 \cdot 2 \cdot 2 \cdot 100$

Step 4

$100$ has factors of $2$ and $50$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 50$

Step 5

$50$ has factors of $2$ and $25$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 25$

Step 6

$25$ has factors of $5$ and $5$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5$