1. The problem statement, all variables and given/known data What is the smallest number than can be added to 2008 to get a perfect square? 3. The attempt at a solution I tried to factorise the number into its factors which in this case were 2*2*2*251. Then i saw that we needed another 2 and 251 to make the number a perfect square. But the number 502 has to multiplied to 2008 and not added to it, and also there are many more square numbers between 2008 and 2008*502 Please help!!!!! P.S. I would like the method too of obtaining the answer, in case you forget.