Prime factorization of $$$3994$$$

Find the prime factorization of $$$3994$$$.

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

Determine whether $$$3994$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3994$$$ by $$${\color{green}2}$$$: $$$\frac{3994}{2} = {\color{red}1997}$$$.

The prime number $$${\color{green}1997}$$$ has no other factors then $$$1$$$ and $$${\color{green}1997}$$$: $$$\frac{1997}{1997} = {\color{red}1}$$$.

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: $$$3994 = 2 \cdot 1997$$$.

The prime factorization is $$$3994 = 2 \cdot 1997$$$A.