# Prime factorization of $3244$

The calculator will find the prime factorization of $3244$, with steps shown.

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Find the prime factorization of $3244$.

### Solution

Start with the number $2$.

Determine whether $3244$ is divisible by $2$.

It is divisible, thus, divide $3244$ by ${\color{green}2}$: $\frac{3244}{2} = {\color{red}1622}$.

Determine whether $1622$ is divisible by $2$.

It is divisible, thus, divide $1622$ by ${\color{green}2}$: $\frac{1622}{2} = {\color{red}811}$.

The prime number ${\color{green}811}$ has no other factors then $1$ and ${\color{green}811}$: $\frac{811}{811} = {\color{red}1}$.

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: $3244 = 2^{2} \cdot 811$.

The prime factorization is $3244 = 2^{2} \cdot 811$A.