Find the Prime Factorization 10500

$10500$

Step 1

$10500$ has factors of $2$ and $5250$ .

$2 \cdot 5250$

Step 2

$5250$ has factors of $2$ and $2625$ .

$2 \cdot 2 \cdot 2625$

Step 3

$2625$ has factors of $3$ and $875$ .

$2 \cdot 2 \cdot 3 \cdot 875$

Step 4

$875$ has factors of $5$ and $175$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 175$

Step 5

$175$ has factors of $5$ and $35$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 35$

Step 6

$35$ has factors of $5$ and $7$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 7$