Prime factorization of $$$4544$$$
Your Input
Find the prime factorization of $$$4544$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4544$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4544$$$ by $$${\color{green}2}$$$: $$$\frac{4544}{2} = {\color{red}2272}$$$.
Determine whether $$$2272$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2272$$$ by $$${\color{green}2}$$$: $$$\frac{2272}{2} = {\color{red}1136}$$$.
Determine whether $$$1136$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$1136$$$ by $$${\color{green}2}$$$: $$$\frac{1136}{2} = {\color{red}568}$$$.
Determine whether $$$568$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$568$$$ by $$${\color{green}2}$$$: $$$\frac{568}{2} = {\color{red}284}$$$.
Determine whether $$$284$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$284$$$ by $$${\color{green}2}$$$: $$$\frac{284}{2} = {\color{red}142}$$$.
Determine whether $$$142$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$142$$$ by $$${\color{green}2}$$$: $$$\frac{142}{2} = {\color{red}71}$$$.
The prime number $$${\color{green}71}$$$ has no other factors then $$$1$$$ and $$${\color{green}71}$$$: $$$\frac{71}{71} = {\color{red}1}$$$.
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: $$$4544 = 2^{6} \cdot 71$$$.
Answer
The prime factorization is $$$4544 = 2^{6} \cdot 71$$$A.