Prime factorization of $$$3106$$$

Find the prime factorization of $$$3106$$$.

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

Determine whether $$$3106$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3106$$$ by $$${\color{green}2}$$$: $$$\frac{3106}{2} = {\color{red}1553}$$$.

The prime number $$${\color{green}1553}$$$ has no other factors then $$$1$$$ and $$${\color{green}1553}$$$: $$$\frac{1553}{1553} = {\color{red}1}$$$.

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: $$$3106 = 2 \cdot 1553$$$.

The prime factorization is $$$3106 = 2 \cdot 1553$$$A.