Any square number ends with either of
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In other words, no square number ends in 2, 3, 7 or 8. ... Property 5: The Square of a natural number other than one is either a multiple of 4 or exceeds a multiple of 4 by 1. Example : 67,146,10003 are not perfect squares as they leave remainder 3,2,3 respectively when divided by 4.
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