Prime factorization of $$$3166$$$

Find the prime factorization of $$$3166$$$.

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

Determine whether $$$3166$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3166$$$ by $$${\color{green}2}$$$: $$$\frac{3166}{2} = {\color{red}1583}$$$.

The prime number $$${\color{green}1583}$$$ has no other factors then $$$1$$$ and $$${\color{green}1583}$$$: $$$\frac{1583}{1583} = {\color{red}1}$$$.

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: $$$3166 = 2 \cdot 1583$$$.

The prime factorization is $$$3166 = 2 \cdot 1583$$$A.