Prime factorization of $$$3231$$$
Your Input
Find the prime factorization of $$$3231$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3231$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$3231$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$3231$$$ by $$${\color{green}3}$$$: $$$\frac{3231}{3} = {\color{red}1077}$$$.
Determine whether $$$1077$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$1077$$$ by $$${\color{green}3}$$$: $$$\frac{1077}{3} = {\color{red}359}$$$.
The prime number $$${\color{green}359}$$$ has no other factors then $$$1$$$ and $$${\color{green}359}$$$: $$$\frac{359}{359} = {\color{red}1}$$$.
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: $$$3231 = 3^{2} \cdot 359$$$.
Answer
The prime factorization is $$$3231 = 3^{2} \cdot 359$$$A.