Prime factorization of $$$2685$$$
Your Input
Find the prime factorization of $$$2685$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2685$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2685$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$2685$$$ by $$${\color{green}3}$$$: $$$\frac{2685}{3} = {\color{red}895}$$$.
Determine whether $$$895$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$895$$$ is divisible by $$$5$$$.
It is divisible, thus, divide $$$895$$$ by $$${\color{green}5}$$$: $$$\frac{895}{5} = {\color{red}179}$$$.
The prime number $$${\color{green}179}$$$ has no other factors then $$$1$$$ and $$${\color{green}179}$$$: $$$\frac{179}{179} = {\color{red}1}$$$.
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: $$$2685 = 3 \cdot 5 \cdot 179$$$.
Answer
The prime factorization is $$$2685 = 3 \cdot 5 \cdot 179$$$A.