# Prime factorization of $4866$

The calculator will find the prime factorization of $4866$, 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 $4866$.

### Solution

Start with the number $2$.

Determine whether $4866$ is divisible by $2$.

It is divisible, thus, divide $4866$ by ${\color{green}2}$: $\frac{4866}{2} = {\color{red}2433}$.

Determine whether $2433$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2433$ is divisible by $3$.

It is divisible, thus, divide $2433$ by ${\color{green}3}$: $\frac{2433}{3} = {\color{red}811}$.

The prime number ${\color{green}811}$ has no other factors then $1$ and ${\color{green}811}$: $\frac{811}{811} = {\color{red}1}$.

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: $4866 = 2 \cdot 3 \cdot 811$.

The prime factorization is $4866 = 2 \cdot 3 \cdot 811$A.