Prime factorization of $$$4306$$$
Your Input
Find the prime factorization of $$$4306$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4306$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4306$$$ by $$${\color{green}2}$$$: $$$\frac{4306}{2} = {\color{red}2153}$$$.
The prime number $$${\color{green}2153}$$$ has no other factors then $$$1$$$ and $$${\color{green}2153}$$$: $$$\frac{2153}{2153} = {\color{red}1}$$$.
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: $$$4306 = 2 \cdot 2153$$$.
Answer
The prime factorization is $$$4306 = 2 \cdot 2153$$$A.