Prime factorization of $$$3722$$$
Your Input
Find the prime factorization of $$$3722$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3722$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$3722$$$ by $$${\color{green}2}$$$: $$$\frac{3722}{2} = {\color{red}1861}$$$.
The prime number $$${\color{green}1861}$$$ has no other factors then $$$1$$$ and $$${\color{green}1861}$$$: $$$\frac{1861}{1861} = {\color{red}1}$$$.
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: $$$3722 = 2 \cdot 1861$$$.
Answer
The prime factorization is $$$3722 = 2 \cdot 1861$$$A.