# Prime factorization of $3292$

The calculator will find the prime factorization of $3292$, with steps shown.

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Find the prime factorization of $3292$.

### Solution

Start with the number $2$.

Determine whether $3292$ is divisible by $2$.

It is divisible, thus, divide $3292$ by ${\color{green}2}$: $\frac{3292}{2} = {\color{red}1646}$.

Determine whether $1646$ is divisible by $2$.

It is divisible, thus, divide $1646$ by ${\color{green}2}$: $\frac{1646}{2} = {\color{red}823}$.

The prime number ${\color{green}823}$ has no other factors then $1$ and ${\color{green}823}$: $\frac{823}{823} = {\color{red}1}$.

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: $3292 = 2^{2} \cdot 823$.

The prime factorization is $3292 = 2^{2} \cdot 823$A.