SOLUTION: Find the smallest possible integer value of n for which 8008n is a perfect square

Question 254093: Find the smallest possible integer value of n for which 8008n is a perfect square
Answer by Edwin McCravy(20063) (Show Source): You can put this solution on YOUR website!


We break  down into a product of prime factors



Every perfect square contains exactly an even number of each
of its prime factors. The product above needs a minimum of one 
more , one more , one more , and one more  to have an 
even number of each of the prime factors 2,7,11,and 13.
That is, it needs to be multiplied by  or 

Thus if n = , we have



Edwin

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