Prime factorization of $$$2362$$$

Find the prime factorization of $$$2362$$$.

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

Determine whether $$$2362$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2362$$$ by $$${\color{green}2}$$$: $$$\frac{2362}{2} = {\color{red}1181}$$$.

The prime number $$${\color{green}1181}$$$ has no other factors then $$$1$$$ and $$${\color{green}1181}$$$: $$$\frac{1181}{1181} = {\color{red}1}$$$.

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: $$$2362 = 2 \cdot 1181$$$.

The prime factorization is $$$2362 = 2 \cdot 1181$$$A.