# Prime factorization of $4604$

The calculator will find the prime factorization of $4604$, with steps shown.

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Find the prime factorization of $4604$.

### Solution

Start with the number $2$.

Determine whether $4604$ is divisible by $2$.

It is divisible, thus, divide $4604$ by ${\color{green}2}$: $\frac{4604}{2} = {\color{red}2302}$.

Determine whether $2302$ is divisible by $2$.

It is divisible, thus, divide $2302$ by ${\color{green}2}$: $\frac{2302}{2} = {\color{red}1151}$.

The prime number ${\color{green}1151}$ has no other factors then $1$ and ${\color{green}1151}$: $\frac{1151}{1151} = {\color{red}1}$.

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: $4604 = 2^{2} \cdot 1151$.

The prime factorization is $4604 = 2^{2} \cdot 1151$A.