# Prime factorization of $3241$

The calculator will find the prime factorization of $3241$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $3241$.

### Solution

Start with the number $2$.

Determine whether $3241$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3241$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $3241$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $3241$ is divisible by $7$.

It is divisible, thus, divide $3241$ by ${\color{green}7}$: $\frac{3241}{7} = {\color{red}463}$.

The prime number ${\color{green}463}$ has no other factors then $1$ and ${\color{green}463}$: $\frac{463}{463} = {\color{red}1}$.

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: $3241 = 7 \cdot 463$.

The prime factorization is $3241 = 7 \cdot 463$A.