Find the Prime Factorization 10000

$10000$

Step 1

$10000$ has factors of $2$ and $5000$ .

$2 \cdot 5000$

Step 2

$5000$ has factors of $2$ and $2500$ .

$2 \cdot 2 \cdot 2500$

Step 3

$2500$ has factors of $2$ and $1250$ .

$2 \cdot 2 \cdot 2 \cdot 1250$

Step 4

$1250$ has factors of $2$ and $625$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 625$

Step 5

$625$ has factors of $5$ and $125$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 125$

Step 6

$125$ has factors of $5$ and $25$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot 25$

Step 7

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

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