Prime factorization of $$$2446$$$

Find the prime factorization of $$$2446$$$.

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

Determine whether $$$2446$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2446$$$ by $$${\color{green}2}$$$: $$$\frac{2446}{2} = {\color{red}1223}$$$.

The prime number $$${\color{green}1223}$$$ has no other factors then $$$1$$$ and $$${\color{green}1223}$$$: $$$\frac{1223}{1223} = {\color{red}1}$$$.

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: $$$2446 = 2 \cdot 1223$$$.

The prime factorization is $$$2446 = 2 \cdot 1223$$$A.