Prime factorization of $$$3244$$$

Find the prime factorization of $$$3244$$$.

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

Determine whether $$$3244$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3244$$$ by $$${\color{green}2}$$$: $$$\frac{3244}{2} = {\color{red}1622}$$$.

Determine whether $$$1622$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1622$$$ by $$${\color{green}2}$$$: $$$\frac{1622}{2} = {\color{red}811}$$$.

The prime number $$${\color{green}811}$$$ has no other factors then $$$1$$$ and $$${\color{green}811}$$$: $$$\frac{811}{811} = {\color{red}1}$$$.

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: $$$3244 = 2^{2} \cdot 811$$$.

The prime factorization is $$$3244 = 2^{2} \cdot 811$$$A.