# Prime factorization of $2605$

The calculator will find the prime factorization of $2605$, 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 $2605$.

### Solution

Start with the number $2$.

Determine whether $2605$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2605$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $2605$ is divisible by $5$.

It is divisible, thus, divide $2605$ by ${\color{green}5}$: $\frac{2605}{5} = {\color{red}521}$.

The prime number ${\color{green}521}$ has no other factors then $1$ and ${\color{green}521}$: $\frac{521}{521} = {\color{red}1}$.

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: $2605 = 5 \cdot 521$.

The prime factorization is $2605 = 5 \cdot 521$A.