Prime factorization of $$$3292$$$

Find the prime factorization of $$$3292$$$.

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

Determine whether $$$3292$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3292$$$ by $$${\color{green}2}$$$: $$$\frac{3292}{2} = {\color{red}1646}$$$.

Determine whether $$$1646$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1646$$$ by $$${\color{green}2}$$$: $$$\frac{1646}{2} = {\color{red}823}$$$.

The prime number $$${\color{green}823}$$$ has no other factors then $$$1$$$ and $$${\color{green}823}$$$: $$$\frac{823}{823} = {\color{red}1}$$$.

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: $$$3292 = 2^{2} \cdot 823$$$.

The prime factorization is $$$3292 = 2^{2} \cdot 823$$$A.