# Prime factorization of $4516$

The calculator will find the prime factorization of $4516$, with steps shown.

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Find the prime factorization of $4516$.

### Solution

Start with the number $2$.

Determine whether $4516$ is divisible by $2$.

It is divisible, thus, divide $4516$ by ${\color{green}2}$: $\frac{4516}{2} = {\color{red}2258}$.

Determine whether $2258$ is divisible by $2$.

It is divisible, thus, divide $2258$ by ${\color{green}2}$: $\frac{2258}{2} = {\color{red}1129}$.

The prime number ${\color{green}1129}$ has no other factors then $1$ and ${\color{green}1129}$: $\frac{1129}{1129} = {\color{red}1}$.

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: $4516 = 2^{2} \cdot 1129$.

The prime factorization is $4516 = 2^{2} \cdot 1129$A.