Prime factorization of $$$4504$$$

Find the prime factorization of $$$4504$$$.

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.