Prime factorization of $$$2818$$$

Find the prime factorization of $$$2818$$$.

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

Determine whether $$$2818$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2818$$$ by $$${\color{green}2}$$$: $$$\frac{2818}{2} = {\color{red}1409}$$$.

The prime number $$${\color{green}1409}$$$ has no other factors then $$$1$$$ and $$${\color{green}1409}$$$: $$$\frac{1409}{1409} = {\color{red}1}$$$.

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: $$$2818 = 2 \cdot 1409$$$.

The prime factorization is $$$2818 = 2 \cdot 1409$$$A.