# Prime factorization of $3115$

The calculator will find the prime factorization of $3115$, 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 $3115$.

### Solution

Start with the number $2$.

Determine whether $3115$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3115$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $3115$ is divisible by $5$.

It is divisible, thus, divide $3115$ by ${\color{green}5}$: $\frac{3115}{5} = {\color{red}623}$.

Determine whether $623$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $623$ is divisible by $7$.

It is divisible, thus, divide $623$ by ${\color{green}7}$: $\frac{623}{7} = {\color{red}89}$.

The prime number ${\color{green}89}$ has no other factors then $1$ and ${\color{green}89}$: $\frac{89}{89} = {\color{red}1}$.

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: $3115 = 5 \cdot 7 \cdot 89$.

The prime factorization is $3115 = 5 \cdot 7 \cdot 89$A.