Prime factorization of $$$1205$$$
Your Input
Find the prime factorization of $$$1205$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$1205$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$1205$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$1205$$$ is divisible by $$$5$$$.
It is divisible, thus, divide $$$1205$$$ by $$${\color{green}5}$$$: $$$\frac{1205}{5} = {\color{red}241}$$$.
The prime number $$${\color{green}241}$$$ has no other factors then $$$1$$$ and $$${\color{green}241}$$$: $$$\frac{241}{241} = {\color{red}1}$$$.
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: $$$1205 = 5 \cdot 241$$$.
Answer
The prime factorization is $$$1205 = 5 \cdot 241$$$A.