The product of 1016 times a (a is a positive integer) is a complete square. What is the minimum value of a?

Decompose 1016 into factors to get 2 * 2 * 2 * 3 * 127 (127 is prime, please verify it)
So this perfect square is 2 * 2 * 2 * 2 * 3 * 3 * 127 * 127, a = 2 * 3 * 127

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