Prime factorization of $$$4204$$$

Find the prime factorization of $$$4204$$$.

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

Determine whether $$$4204$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4204$$$ by $$${\color{green}2}$$$: $$$\frac{4204}{2} = {\color{red}2102}$$$.

Determine whether $$$2102$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2102$$$ by $$${\color{green}2}$$$: $$$\frac{2102}{2} = {\color{red}1051}$$$.

The prime number $$${\color{green}1051}$$$ has no other factors then $$$1$$$ and $$${\color{green}1051}$$$: $$$\frac{1051}{1051} = {\color{red}1}$$$.

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: $$$4204 = 2^{2} \cdot 1051$$$.

The prime factorization is $$$4204 = 2^{2} \cdot 1051$$$A.