Question

Prove that square of any integer leaves the remainder either 0 or 1 when divided by 4

Answer 1

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Answer 2

Step-by-step explanation:

Every integer when squared leaves a the remainder 0 or 1 when divided by 4. So, every even integer squared leaves a remainder 0 when divided by 4. And every odd integer squared leaves a remainder 1 when divided by 4. Hence, any integer squared leaves a reminder 0 or 1 when divided by 4.