Prime factorization of $$$3518$$$

Find the prime factorization of $$$3518$$$.

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

Determine whether $$$3518$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3518$$$ by $$${\color{green}2}$$$: $$$\frac{3518}{2} = {\color{red}1759}$$$.

The prime number $$${\color{green}1759}$$$ has no other factors then $$$1$$$ and $$${\color{green}1759}$$$: $$$\frac{1759}{1759} = {\color{red}1}$$$.

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: $$$3518 = 2 \cdot 1759$$$.

The prime factorization is $$$3518 = 2 \cdot 1759$$$A.