Divide by \(5\)

If \(n\) is a positive integer, then \(n\) has \(5\) possible remainders after division by five: \(0, 1, 2, 3\) and \(4\).

If \(n\) is a positive integer, then \(n^2\) is also a positive integer.

\(n\) is a positive integer. What is the number of possible remainders of \(n^2\) after division by five?

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