Prime factorization of $$$4006$$$

Find the prime factorization of $$$4006$$$.

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

Determine whether $$$4006$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4006$$$ by $$${\color{green}2}$$$: $$$\frac{4006}{2} = {\color{red}2003}$$$.

The prime number $$${\color{green}2003}$$$ has no other factors then $$$1$$$ and $$${\color{green}2003}$$$: $$$\frac{2003}{2003} = {\color{red}1}$$$.

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: $$$4006 = 2 \cdot 2003$$$.

The prime factorization is $$$4006 = 2 \cdot 2003$$$A.