Prime factorization of $$$52$$$
Your Input
Find the prime factorization of $$$52$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$52$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$52$$$ by $$${\color{green}2}$$$: $$$\frac{52}{2} = {\color{red}26}$$$.
Determine whether $$$26$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$26$$$ by $$${\color{green}2}$$$: $$$\frac{26}{2} = {\color{red}13}$$$.
The prime number $$${\color{green}13}$$$ has no other factors then $$$1$$$ and $$${\color{green}13}$$$: $$$\frac{13}{13} = {\color{red}1}$$$.
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: $$$52 = 2^{2} \cdot 13$$$.
Answer
The prime factorization is $$$52 = 2^{2} \cdot 13$$$A.