Find the Prime Factorization 214500

$214500$

Step 1

$214500$ has factors of $2$ and $107250$ .

$2 \cdot 107250$

Step 2

$107250$ has factors of $2$ and $53625$ .

$2 \cdot 2 \cdot 53625$

Step 3

$53625$ has factors of $3$ and $17875$ .

$2 \cdot 2 \cdot 3 \cdot 17875$

Step 4

$17875$ has factors of $5$ and $3575$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 3575$

Step 5

$3575$ has factors of $5$ and $715$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 715$

Step 6

$715$ has factors of $5$ and $143$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 143$

Step 7

$143$ has factors of $11$ and $13$ .

$2 \cdot 2 \cdot 3 \cdot 5 \cdot 5 \cdot 5 \cdot 11 \cdot 13$