# Prime factorization of $4595$

The calculator will find the prime factorization of $4595$, with steps shown.

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Find the prime factorization of $4595$.

### Solution

Start with the number $2$.

Determine whether $4595$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4595$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $4595$ is divisible by $5$.

It is divisible, thus, divide $4595$ by ${\color{green}5}$: $\frac{4595}{5} = {\color{red}919}$.

The prime number ${\color{green}919}$ has no other factors then $1$ and ${\color{green}919}$: $\frac{919}{919} = {\color{red}1}$.

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: $4595 = 5 \cdot 919$.

The prime factorization is $4595 = 5 \cdot 919$A.