# Prime factorization of $3308$

The calculator will find the prime factorization of $3308$, with steps shown.

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Find the prime factorization of $3308$.

### Solution

Start with the number $2$.

Determine whether $3308$ is divisible by $2$.

It is divisible, thus, divide $3308$ by ${\color{green}2}$: $\frac{3308}{2} = {\color{red}1654}$.

Determine whether $1654$ is divisible by $2$.

It is divisible, thus, divide $1654$ by ${\color{green}2}$: $\frac{1654}{2} = {\color{red}827}$.

The prime number ${\color{green}827}$ has no other factors then $1$ and ${\color{green}827}$: $\frac{827}{827} = {\color{red}1}$.

Since we have obtained $1$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $3308 = 2^{2} \cdot 827$.

The prime factorization is $3308 = 2^{2} \cdot 827$A.