Prime factorization of $$$2722$$$

Find the prime factorization of $$$2722$$$.

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

Determine whether $$$2722$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2722$$$ by $$${\color{green}2}$$$: $$$\frac{2722}{2} = {\color{red}1361}$$$.

The prime number $$${\color{green}1361}$$$ has no other factors then $$$1$$$ and $$${\color{green}1361}$$$: $$$\frac{1361}{1361} = {\color{red}1}$$$.

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: $$$2722 = 2 \cdot 1361$$$.

The prime factorization is $$$2722 = 2 \cdot 1361$$$A.