# Prime factorization of $4504$

The calculator will find the prime factorization of $4504$, with steps shown.

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Find the prime factorization of $4504$.

### Solution

Start with the number $2$.

Determine whether $4504$ is divisible by $2$.

It is divisible, thus, divide $4504$ by ${\color{green}2}$: $\frac{4504}{2} = {\color{red}2252}$.

Determine whether $2252$ is divisible by $2$.

It is divisible, thus, divide $2252$ by ${\color{green}2}$: $\frac{2252}{2} = {\color{red}1126}$.

Determine whether $1126$ is divisible by $2$.

It is divisible, thus, divide $1126$ by ${\color{green}2}$: $\frac{1126}{2} = {\color{red}563}$.

The prime number ${\color{green}563}$ has no other factors then $1$ and ${\color{green}563}$: $\frac{563}{563} = {\color{red}1}$.

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: $4504 = 2^{3} \cdot 563$.

The prime factorization is $4504 = 2^{3} \cdot 563$A.