A very large number x is equal to 2233445566778899. What is the smallest positive integer that, when multiplied with x, produces a product that is a perfect square?
Thank You So Much!!!
Hint: All the indices must be even numbers.
Except 9^9 = 3^18
Yes you are right,
I will tweak my answer.
All the factors must be prime THEN all the indices of these prme factors must by even.
So with your example.
99=(32)9=31818 is even so 99 is a square number
+223 
