Prime factorization of $$$3386$$$

Find the prime factorization of $$$3386$$$.

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

Determine whether $$$3386$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3386$$$ by $$${\color{green}2}$$$: $$$\frac{3386}{2} = {\color{red}1693}$$$.

The prime number $$${\color{green}1693}$$$ has no other factors then $$$1$$$ and $$${\color{green}1693}$$$: $$$\frac{1693}{1693} = {\color{red}1}$$$.

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: $$$3386 = 2 \cdot 1693$$$.

The prime factorization is $$$3386 = 2 \cdot 1693$$$A.