Prime factorization of $$$4086$$$
Your Input
Find the prime factorization of $$$4086$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4086$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4086$$$ by $$${\color{green}2}$$$: $$$\frac{4086}{2} = {\color{red}2043}$$$.
Determine whether $$$2043$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2043$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$2043$$$ by $$${\color{green}3}$$$: $$$\frac{2043}{3} = {\color{red}681}$$$.
Determine whether $$$681$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$681$$$ by $$${\color{green}3}$$$: $$$\frac{681}{3} = {\color{red}227}$$$.
The prime number $$${\color{green}227}$$$ has no other factors then $$$1$$$ and $$${\color{green}227}$$$: $$$\frac{227}{227} = {\color{red}1}$$$.
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: $$$4086 = 2 \cdot 3^{2} \cdot 227$$$.
Answer
The prime factorization is $$$4086 = 2 \cdot 3^{2} \cdot 227$$$A.