Prime factorization of $$$3158$$$

Find the prime factorization of $$$3158$$$.

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

Determine whether $$$3158$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3158$$$ by $$${\color{green}2}$$$: $$$\frac{3158}{2} = {\color{red}1579}$$$.

The prime number $$${\color{green}1579}$$$ has no other factors then $$$1$$$ and $$${\color{green}1579}$$$: $$$\frac{1579}{1579} = {\color{red}1}$$$.

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: $$$3158 = 2 \cdot 1579$$$.

The prime factorization is $$$3158 = 2 \cdot 1579$$$A.