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is N / (x * y) same as N / x / y
By Confused101, history, 8 years ago, In English

For any three integers is N / (x * y) same as N / x / y?

I tried to check for many random values, It comes out to be same. Is it true for any 3 integers N, x, y. How to prove it. Sorry if the question is silly.

Thanks!

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8 years ago, # |
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8 years ago, # |
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Are you looking for a case if it is floored every time after division?

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    8 years ago, # ^ |
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    Yes, "/" operator is integer division here, N, x, y are integers.

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8 years ago, # |
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N = xy·k + r, for some k and r < xy.

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Since r < xy, the answer always be equal to k regardless of an order of operations you choose.

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