Prime factorization of $$$3974$$$

Find the prime factorization of $$$3974$$$.

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

Determine whether $$$3974$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3974$$$ by $$${\color{green}2}$$$: $$$\frac{3974}{2} = {\color{red}1987}$$$.

The prime number $$${\color{green}1987}$$$ has no other factors then $$$1$$$ and $$${\color{green}1987}$$$: $$$\frac{1987}{1987} = {\color{red}1}$$$.

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: $$$3974 = 2 \cdot 1987$$$.

The prime factorization is $$$3974 = 2 \cdot 1987$$$A.