Prime factorization of $$$4766$$$

Find the prime factorization of $$$4766$$$.

Start with the number $$$2$$$.

Determine whether $$$4766$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4766$$$ by $$${\color{green}2}$$$: $$$\frac{4766}{2} = {\color{red}2383}$$$.

The prime number $$${\color{green}2383}$$$ has no other factors then $$$1$$$ and $$${\color{green}2383}$$$: $$$\frac{2383}{2383} = {\color{red}1}$$$.

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: $$$4766 = 2 \cdot 2383$$$.

The prime factorization is $$$4766 = 2 \cdot 2383$$$A.