Prime factorization of $$$3274$$$

Find the prime factorization of $$$3274$$$.

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

Determine whether $$$3274$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3274$$$ by $$${\color{green}2}$$$: $$$\frac{3274}{2} = {\color{red}1637}$$$.

The prime number $$${\color{green}1637}$$$ has no other factors then $$$1$$$ and $$${\color{green}1637}$$$: $$$\frac{1637}{1637} = {\color{red}1}$$$.

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: $$$3274 = 2 \cdot 1637$$$.

The prime factorization is $$$3274 = 2 \cdot 1637$$$A.