Prime factorization of $$$3314$$$
Your Input
Find the prime factorization of $$$3314$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3314$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$3314$$$ by $$${\color{green}2}$$$: $$$\frac{3314}{2} = {\color{red}1657}$$$.
The prime number $$${\color{green}1657}$$$ has no other factors then $$$1$$$ and $$${\color{green}1657}$$$: $$$\frac{1657}{1657} = {\color{red}1}$$$.
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: $$$3314 = 2 \cdot 1657$$$.
Answer
The prime factorization is $$$3314 = 2 \cdot 1657$$$A.