You may have used shortcuts to see if a number is divisible by another. example \"is...

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You may have used shortcuts to see if a number is divisible byanother. example \"is a number is divisible by 4 if the last twodigits form a number divisible by 4\" or \"a number is divisible by 8if the last three digits form a number divisible by 8.\" Where dothey come from? Why are some numbers left out? Could you provethese shortcuts?

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