Prime factorization of $$$2224$$$
Your Input
Find the prime factorization of $$$2224$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2224$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2224$$$ by $$${\color{green}2}$$$: $$$\frac{2224}{2} = {\color{red}1112}$$$.
Determine whether $$$1112$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$1112$$$ by $$${\color{green}2}$$$: $$$\frac{1112}{2} = {\color{red}556}$$$.
Determine whether $$$556$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$556$$$ by $$${\color{green}2}$$$: $$$\frac{556}{2} = {\color{red}278}$$$.
Determine whether $$$278$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$278$$$ by $$${\color{green}2}$$$: $$$\frac{278}{2} = {\color{red}139}$$$.
The prime number $$${\color{green}139}$$$ has no other factors then $$$1$$$ and $$${\color{green}139}$$$: $$$\frac{139}{139} = {\color{red}1}$$$.
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: $$$2224 = 2^{4} \cdot 139$$$.
Answer
The prime factorization is $$$2224 = 2^{4} \cdot 139$$$A.