Prime factorization of $$$4866$$$

Find the prime factorization of $$$4866$$$.

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.