Prime factorization of $$$687$$$
Your Input
Find the prime factorization of $$$687$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$687$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$687$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$687$$$ by $$${\color{green}3}$$$: $$$\frac{687}{3} = {\color{red}229}$$$.
The prime number $$${\color{green}229}$$$ has no other factors then $$$1$$$ and $$${\color{green}229}$$$: $$$\frac{229}{229} = {\color{red}1}$$$.
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: $$$687 = 3 \cdot 229$$$.
Answer
The prime factorization is $$$687 = 3 \cdot 229$$$A.