Prime factorization of $$$2611$$$
Your Input
Find the prime factorization of $$$2611$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2611$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2611$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$2611$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$2611$$$ is divisible by $$$7$$$.
It is divisible, thus, divide $$$2611$$$ by $$${\color{green}7}$$$: $$$\frac{2611}{7} = {\color{red}373}$$$.
The prime number $$${\color{green}373}$$$ has no other factors then $$$1$$$ and $$${\color{green}373}$$$: $$$\frac{373}{373} = {\color{red}1}$$$.
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: $$$2611 = 7 \cdot 373$$$.
Answer
The prime factorization is $$$2611 = 7 \cdot 373$$$A.