Prime factorization of $$$4203$$$
Your Input
Find the prime factorization of $$$4203$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4203$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$4203$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$4203$$$ by $$${\color{green}3}$$$: $$$\frac{4203}{3} = {\color{red}1401}$$$.
Determine whether $$$1401$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$1401$$$ by $$${\color{green}3}$$$: $$$\frac{1401}{3} = {\color{red}467}$$$.
The prime number $$${\color{green}467}$$$ has no other factors then $$$1$$$ and $$${\color{green}467}$$$: $$$\frac{467}{467} = {\color{red}1}$$$.
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: $$$4203 = 3^{2} \cdot 467$$$.
Answer
The prime factorization is $$$4203 = 3^{2} \cdot 467$$$A.