Prime factorization of $$$4126$$$

Find the prime factorization of $$$4126$$$.

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: $$$4126 = 2 \cdot 2063$$$.

The prime factorization is $$$4126 = 2 \cdot 2063$$$A.