There is a prime number which is a factor of every sum of three consecutive integers. What is the number?
Guest is wrong.
The steps to solving it is like this:
We take random sets of three consecutive integers, add them, and find the factors of them.
First set: 1+2+3=6
Second set: 2+3+4=9
Third Set: 3+4+5=12
We can clearly see that the common factor for every set of three is 3.
I hope this helps.