Prime factorization of $$$2498$$$
Your Input
Find the prime factorization of $$$2498$$$.
Solution
Start with the number $$$2$$$.
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: $$$2498 = 2 \cdot 1249$$$.
Answer
The prime factorization is $$$2498 = 2 \cdot 1249$$$A.