Find the Prime Factorization 306

$306$

$306$ has factors of $2$ and $153$ .

$2 \cdot 153$

$153$ has factors of $3$ and $51$ .

$2 \cdot 3 \cdot 51$

$51$ has factors of $3$ and $17$ .

$2 \cdot 3 \cdot 3 \cdot 17$