Prime factorization of $$$4996$$$
Your Input
Find the prime factorization of $$$4996$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4996$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4996$$$ by $$${\color{green}2}$$$: $$$\frac{4996}{2} = {\color{red}2498}$$$.
Determine whether $$$2498$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2498$$$ by $$${\color{green}2}$$$: $$$\frac{2498}{2} = {\color{red}1249}$$$.
The prime number $$${\color{green}1249}$$$ has no other factors then $$$1$$$ and $$${\color{green}1249}$$$: $$$\frac{1249}{1249} = {\color{red}1}$$$.
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: $$$4996 = 2^{2} \cdot 1249$$$.
Answer
The prime factorization is $$$4996 = 2^{2} \cdot 1249$$$A.