Asked by Person
What is the smallest positive number that you can multiply by 2016 to make a perfect square?
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Answered by
oobleck
2016 = 2^5 * 3^2 * 7
A perfect square has all powers even numbers, so you need to multiply by 2*7 = 14
That will give you 2^6 * 3^2 * 7^2 = (2^3 * 3 * 7)^2
A perfect square has all powers even numbers, so you need to multiply by 2*7 = 14
That will give you 2^6 * 3^2 * 7^2 = (2^3 * 3 * 7)^2
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