Prime factorization of $$$4317$$$
Your Input
Find the prime factorization of $$$4317$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4317$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$4317$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$4317$$$ by $$${\color{green}3}$$$: $$$\frac{4317}{3} = {\color{red}1439}$$$.
The prime number $$${\color{green}1439}$$$ has no other factors then $$$1$$$ and $$${\color{green}1439}$$$: $$$\frac{1439}{1439} = {\color{red}1}$$$.
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: $$$4317 = 3 \cdot 1439$$$.
Answer
The prime factorization is $$$4317 = 3 \cdot 1439$$$A.