Prime factorization of $$$4310$$$
Your Input
Find the prime factorization of $$$4310$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4310$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4310$$$ by $$${\color{green}2}$$$: $$$\frac{4310}{2} = {\color{red}2155}$$$.
Determine whether $$$2155$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2155$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$2155$$$ is divisible by $$$5$$$.
It is divisible, thus, divide $$$2155$$$ by $$${\color{green}5}$$$: $$$\frac{2155}{5} = {\color{red}431}$$$.
The prime number $$${\color{green}431}$$$ has no other factors then $$$1$$$ and $$${\color{green}431}$$$: $$$\frac{431}{431} = {\color{red}1}$$$.
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: $$$4310 = 2 \cdot 5 \cdot 431$$$.
Answer
The prime factorization is $$$4310 = 2 \cdot 5 \cdot 431$$$A.