Prime factorization of $$$3086$$$

Find the prime factorization of $$$3086$$$.

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

Determine whether $$$3086$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3086$$$ by $$${\color{green}2}$$$: $$$\frac{3086}{2} = {\color{red}1543}$$$.

The prime number $$${\color{green}1543}$$$ has no other factors then $$$1$$$ and $$${\color{green}1543}$$$: $$$\frac{1543}{1543} = {\color{red}1}$$$.

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: $$$3086 = 2 \cdot 1543$$$.

The prime factorization is $$$3086 = 2 \cdot 1543$$$A.