Prime factorization of $$$4804$$$

Find the prime factorization of $$$4804$$$.

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

Determine whether $$$4804$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4804$$$ by $$${\color{green}2}$$$: $$$\frac{4804}{2} = {\color{red}2402}$$$.

Determine whether $$$2402$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2402$$$ by $$${\color{green}2}$$$: $$$\frac{2402}{2} = {\color{red}1201}$$$.

The prime number $$${\color{green}1201}$$$ has no other factors then $$$1$$$ and $$${\color{green}1201}$$$: $$$\frac{1201}{1201} = {\color{red}1}$$$.

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: $$$4804 = 2^{2} \cdot 1201$$$.

The prime factorization is $$$4804 = 2^{2} \cdot 1201$$$A.