Find the Prime Factorization 5040

$5040$

Step 1

$5040$ has factors of $2$ and $2520$ .

$2 \cdot 2520$

Step 2

$2520$ has factors of $2$ and $1260$ .

$2 \cdot 2 \cdot 1260$

Step 3

$1260$ has factors of $2$ and $630$ .

$2 \cdot 2 \cdot 2 \cdot 630$

Step 4

$630$ has factors of $2$ and $315$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 315$

Step 5

$315$ has factors of $3$ and $105$ .

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 105$

Step 6

$105$ has factors of $3$ and $35$ .

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

Step 7

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

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