# Prime factorization of $4204$

The calculator will find the prime factorization of $4204$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $4204$.

### Solution

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.