Prime factorization of $$$3284$$$

Find the prime factorization of $$$3284$$$.

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

Determine whether $$$3284$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3284$$$ by $$${\color{green}2}$$$: $$$\frac{3284}{2} = {\color{red}1642}$$$.

Determine whether $$$1642$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1642$$$ by $$${\color{green}2}$$$: $$$\frac{1642}{2} = {\color{red}821}$$$.

The prime number $$${\color{green}821}$$$ has no other factors then $$$1$$$ and $$${\color{green}821}$$$: $$$\frac{821}{821} = {\color{red}1}$$$.

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: $$$3284 = 2^{2} \cdot 821$$$.

The prime factorization is $$$3284 = 2^{2} \cdot 821$$$A.