Prime factorization of $$$4822$$$

Find the prime factorization of $$$4822$$$.

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

Determine whether $$$4822$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4822$$$ by $$${\color{green}2}$$$: $$$\frac{4822}{2} = {\color{red}2411}$$$.

The prime number $$${\color{green}2411}$$$ has no other factors then $$$1$$$ and $$${\color{green}2411}$$$: $$$\frac{2411}{2411} = {\color{red}1}$$$.

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: $$$4822 = 2 \cdot 2411$$$.

The prime factorization is $$$4822 = 2 \cdot 2411$$$A.