Question

Let n be an integer. Prove that the remainder on division of n2 by 4
is 0 or 1 according as n is even or odd. What remainders are possible
when nº is divided by 8? problem

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Answer 1

Answer:

2(2)/4=4/4

=1

hence it is a odd no

If n power is 3 then remainder becomes odd

2^3/8

=8/8

=1

therefore the answer is 1 for both