Prime factorization of $$$4930$$$
Your Input
Find the prime factorization of $$$4930$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4930$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$4930$$$ by $$${\color{green}2}$$$: $$$\frac{4930}{2} = {\color{red}2465}$$$.
Determine whether $$$2465$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2465$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$2465$$$ is divisible by $$$5$$$.
It is divisible, thus, divide $$$2465$$$ by $$${\color{green}5}$$$: $$$\frac{2465}{5} = {\color{red}493}$$$.
Determine whether $$$493$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$493$$$ is divisible by $$$7$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$11$$$.
Determine whether $$$493$$$ is divisible by $$$11$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$13$$$.
Determine whether $$$493$$$ is divisible by $$$13$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$17$$$.
Determine whether $$$493$$$ is divisible by $$$17$$$.
It is divisible, thus, divide $$$493$$$ by $$${\color{green}17}$$$: $$$\frac{493}{17} = {\color{red}29}$$$.
The prime number $$${\color{green}29}$$$ has no other factors then $$$1$$$ and $$${\color{green}29}$$$: $$$\frac{29}{29} = {\color{red}1}$$$.
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: $$$4930 = 2 \cdot 5 \cdot 17 \cdot 29$$$.
Answer
The prime factorization is $$$4930 = 2 \cdot 5 \cdot 17 \cdot 29$$$A.