Prime factorization of $$$4126$$$
Your Input
Find the prime factorization of $$$4126$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4126$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4126$$$ by $$${\color{green}2}$$$: $$$\frac{4126}{2} = {\color{red}2063}$$$.
The prime number $$${\color{green}2063}$$$ has no other factors then $$$1$$$ and $$${\color{green}2063}$$$: $$$\frac{2063}{2063} = {\color{red}1}$$$.
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: $$$4126 = 2 \cdot 2063$$$.
Answer
The prime factorization is $$$4126 = 2 \cdot 2063$$$A.