SOLUTION: What is the largest integer which is always a factor of the sum of three consecutive even integers?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: What is the largest integer which is always a factor of the sum of three consecutive even integers?      Log On


   

Question 1013513: What is the largest integer which is always a factor of the sum of three consecutive even integers?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If we call the three consecutive even integers
x, x+2, and x+4
when we add them we get
3x + 6
which is always divisible by 3...but wait!
If x is even, then 3x is divisible by 6...
Thus the answer is 6!