Prime factorization of $$$4052$$$
Your Input
Find the prime factorization of $$$4052$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4052$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4052$$$ by $$${\color{green}2}$$$: $$$\frac{4052}{2} = {\color{red}2026}$$$.
Determine whether $$$2026$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2026$$$ by $$${\color{green}2}$$$: $$$\frac{2026}{2} = {\color{red}1013}$$$.
The prime number $$${\color{green}1013}$$$ has no other factors then $$$1$$$ and $$${\color{green}1013}$$$: $$$\frac{1013}{1013} = {\color{red}1}$$$.
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: $$$4052 = 2^{2} \cdot 1013$$$.
Answer
The prime factorization is $$$4052 = 2^{2} \cdot 1013$$$A.