# Prime factorization of $4695$

The calculator will find the prime factorization of $4695$, with steps shown.

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Find the prime factorization of $4695$.

### Solution

Start with the number $2$.

Determine whether $4695$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4695$ is divisible by $3$.

It is divisible, thus, divide $4695$ by ${\color{green}3}$: $\frac{4695}{3} = {\color{red}1565}$.

Determine whether $1565$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1565$ is divisible by $5$.

It is divisible, thus, divide $1565$ by ${\color{green}5}$: $\frac{1565}{5} = {\color{red}313}$.

The prime number ${\color{green}313}$ has no other factors then $1$ and ${\color{green}313}$: $\frac{313}{313} = {\color{red}1}$.

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: $4695 = 3 \cdot 5 \cdot 313$.

The prime factorization is $4695 = 3 \cdot 5 \cdot 313$A.