# Prime factorization of $2404$

The calculator will find the prime factorization of $2404$, 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 $2404$.

### Solution

Start with the number $2$.

Determine whether $2404$ is divisible by $2$.

It is divisible, thus, divide $2404$ by ${\color{green}2}$: $\frac{2404}{2} = {\color{red}1202}$.

Determine whether $1202$ is divisible by $2$.

It is divisible, thus, divide $1202$ by ${\color{green}2}$: $\frac{1202}{2} = {\color{red}601}$.

The prime number ${\color{green}601}$ has no other factors then $1$ and ${\color{green}601}$: $\frac{601}{601} = {\color{red}1}$.

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: $2404 = 2^{2} \cdot 601$.

The prime factorization is $2404 = 2^{2} \cdot 601$A.