Prime factorization of $$$3214$$$

Find the prime factorization of $$$3214$$$.

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

Determine whether $$$3214$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3214$$$ by $$${\color{green}2}$$$: $$$\frac{3214}{2} = {\color{red}1607}$$$.

The prime number $$${\color{green}1607}$$$ has no other factors then $$$1$$$ and $$${\color{green}1607}$$$: $$$\frac{1607}{1607} = {\color{red}1}$$$.

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: $$$3214 = 2 \cdot 1607$$$.

The prime factorization is $$$3214 = 2 \cdot 1607$$$A.