# Prime factorization of $3231$

The calculator will find the prime factorization of $3231$, with steps shown.

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Find the prime factorization of $3231$.

### Solution

Start with the number $2$.

Determine whether $3231$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $3231$ is divisible by $3$.

It is divisible, thus, divide $3231$ by ${\color{green}3}$: $\frac{3231}{3} = {\color{red}1077}$.

Determine whether $1077$ is divisible by $3$.

It is divisible, thus, divide $1077$ by ${\color{green}3}$: $\frac{1077}{3} = {\color{red}359}$.

The prime number ${\color{green}359}$ has no other factors then $1$ and ${\color{green}359}$: $\frac{359}{359} = {\color{red}1}$.

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: $3231 = 3^{2} \cdot 359$.

The prime factorization is $3231 = 3^{2} \cdot 359$A.