Prime factorization of $$$2326$$$

Find the prime factorization of $$$2326$$$.

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

Determine whether $$$2326$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2326$$$ by $$${\color{green}2}$$$: $$$\frac{2326}{2} = {\color{red}1163}$$$.

The prime number $$${\color{green}1163}$$$ has no other factors then $$$1$$$ and $$${\color{green}1163}$$$: $$$\frac{1163}{1163} = {\color{red}1}$$$.

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: $$$2326 = 2 \cdot 1163$$$.

The prime factorization is $$$2326 = 2 \cdot 1163$$$A.