Prime factorization of $$$4886$$$
Your Input
Find the prime factorization of $$$4886$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4886$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4886$$$ by $$${\color{green}2}$$$: $$$\frac{4886}{2} = {\color{red}2443}$$$.
Determine whether $$$2443$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2443$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$2443$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$2443$$$ is divisible by $$$7$$$.
It is divisible, thus, divide $$$2443$$$ by $$${\color{green}7}$$$: $$$\frac{2443}{7} = {\color{red}349}$$$.
The prime number $$${\color{green}349}$$$ has no other factors then $$$1$$$ and $$${\color{green}349}$$$: $$$\frac{349}{349} = {\color{red}1}$$$.
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: $$$4886 = 2 \cdot 7 \cdot 349$$$.
Answer
The prime factorization is $$$4886 = 2 \cdot 7 \cdot 349$$$A.