Prime factorization of $$$1018$$$

Find the prime factorization of $$$1018$$$.

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

Determine whether $$$1018$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1018$$$ by $$${\color{green}2}$$$: $$$\frac{1018}{2} = {\color{red}509}$$$.

The prime number $$${\color{green}509}$$$ has no other factors then $$$1$$$ and $$${\color{green}509}$$$: $$$\frac{509}{509} = {\color{red}1}$$$.

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: $$$1018 = 2 \cdot 509$$$.

The prime factorization is $$$1018 = 2 \cdot 509$$$A.