I have learnt that remainder of a perfect square when divided by 3, is

1.	I have learnt that remainder of a perfect square when divided by 3, is either 0 or 1 but never 2. It is verified as 9/3 gives remainder 0 and 16%3 gives remainder 1. Even larger numbers like 4225, which is square of 65, when divided by 3 gives 1 but if we divide 3 by 3 it will give 0, but 3 is not a perfect square. So, Please help me out?
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I have learnt that remainder of a perfect square when divided by 3, is either 0 or 1 but never 2. It is verified as 9/3 gives remainder 0 and 16%3 gives remainder 1. Even larger numbers like 4225, which is square of 65, when divided by 3 gives 1 but if we divide 3 by 3 it will give 0, but 3 is not a perfect square. So, Please help me out?

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