Prime factorization of $$$2218$$$

Find the prime factorization of $$$2218$$$.

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

Determine whether $$$2218$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2218$$$ by $$${\color{green}2}$$$: $$$\frac{2218}{2} = {\color{red}1109}$$$.

The prime number $$${\color{green}1109}$$$ has no other factors then $$$1$$$ and $$${\color{green}1109}$$$: $$$\frac{1109}{1109} = {\color{red}1}$$$.

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: $$$2218 = 2 \cdot 1109$$$.

The prime factorization is $$$2218 = 2 \cdot 1109$$$A.