Prime factorization of $$$4786$$$

Find the prime factorization of $$$4786$$$.

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

Determine whether $$$4786$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4786$$$ by $$${\color{green}2}$$$: $$$\frac{4786}{2} = {\color{red}2393}$$$.

The prime number $$${\color{green}2393}$$$ has no other factors then $$$1$$$ and $$${\color{green}2393}$$$: $$$\frac{2393}{2393} = {\color{red}1}$$$.

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: $$$4786 = 2 \cdot 2393$$$.

The prime factorization is $$$4786 = 2 \cdot 2393$$$A.