Prime factorization of $$$2246$$$

Find the prime factorization of $$$2246$$$.

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

Determine whether $$$2246$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2246$$$ by $$${\color{green}2}$$$: $$$\frac{2246}{2} = {\color{red}1123}$$$.

The prime number $$${\color{green}1123}$$$ has no other factors then $$$1$$$ and $$${\color{green}1123}$$$: $$$\frac{1123}{1123} = {\color{red}1}$$$.

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: $$$2246 = 2 \cdot 1123$$$.

The prime factorization is $$$2246 = 2 \cdot 1123$$$A.