# Prime factorization of $4764$

The calculator will find the prime factorization of $4764$, 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 $4764$.

### Solution

Start with the number $2$.

Determine whether $4764$ is divisible by $2$.

It is divisible, thus, divide $4764$ by ${\color{green}2}$: $\frac{4764}{2} = {\color{red}2382}$.

Determine whether $2382$ is divisible by $2$.

It is divisible, thus, divide $2382$ by ${\color{green}2}$: $\frac{2382}{2} = {\color{red}1191}$.

Determine whether $1191$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1191$ is divisible by $3$.

It is divisible, thus, divide $1191$ by ${\color{green}3}$: $\frac{1191}{3} = {\color{red}397}$.

The prime number ${\color{green}397}$ has no other factors then $1$ and ${\color{green}397}$: $\frac{397}{397} = {\color{red}1}$.

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: $4764 = 2^{2} \cdot 3 \cdot 397$.

The prime factorization is $4764 = 2^{2} \cdot 3 \cdot 397$A.