# Prime factorization of $4804$

The calculator will find the prime factorization of $4804$, with steps shown.

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Find the prime factorization of $4804$.

### Solution

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.