Prime factorization of $$$4884$$$
Your Input
Find the prime factorization of $$$4884$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4884$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4884$$$ by $$${\color{green}2}$$$: $$$\frac{4884}{2} = {\color{red}2442}$$$.
Determine whether $$$2442$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2442$$$ by $$${\color{green}2}$$$: $$$\frac{2442}{2} = {\color{red}1221}$$$.
Determine whether $$$1221$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$1221$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$1221$$$ by $$${\color{green}3}$$$: $$$\frac{1221}{3} = {\color{red}407}$$$.
Determine whether $$$407$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$407$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$407$$$ is divisible by $$$7$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$11$$$.
Determine whether $$$407$$$ is divisible by $$$11$$$.
It is divisible, thus, divide $$$407$$$ by $$${\color{green}11}$$$: $$$\frac{407}{11} = {\color{red}37}$$$.
The prime number $$${\color{green}37}$$$ has no other factors then $$$1$$$ and $$${\color{green}37}$$$: $$$\frac{37}{37} = {\color{red}1}$$$.
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: $$$4884 = 2^{2} \cdot 3 \cdot 11 \cdot 37$$$.
Answer
The prime factorization is $$$4884 = 2^{2} \cdot 3 \cdot 11 \cdot 37$$$A.