# Prime factorization of $3352$

The calculator will find the prime factorization of $3352$, with steps shown.

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Find the prime factorization of $3352$.

### Solution

Start with the number $2$.

Determine whether $3352$ is divisible by $2$.

It is divisible, thus, divide $3352$ by ${\color{green}2}$: $\frac{3352}{2} = {\color{red}1676}$.

Determine whether $1676$ is divisible by $2$.

It is divisible, thus, divide $1676$ by ${\color{green}2}$: $\frac{1676}{2} = {\color{red}838}$.

Determine whether $838$ is divisible by $2$.

It is divisible, thus, divide $838$ by ${\color{green}2}$: $\frac{838}{2} = {\color{red}419}$.

The prime number ${\color{green}419}$ has no other factors then $1$ and ${\color{green}419}$: $\frac{419}{419} = {\color{red}1}$.

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: $3352 = 2^{3} \cdot 419$.

The prime factorization is $3352 = 2^{3} \cdot 419$A.