# Guess me: If you subtract any number me, the result will always be divisible by the successor of that number?

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A special integer exists in mathematics that shows a special property. If you subtract any number from that integer, the result will always be divisible by the successor of that number completely.

Do you know what that integer is ?

posted Apr 13, 2015

+1 vote

The required integer is -1.

For an example, let us subtract 7 from -1.

-1 - 7 = -8

Now the successor of 7 is 8 and (-8) is exactly divisible by 8.

You can try that for any number and it will hold true.

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+1 vote

Try to find out a multi-digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.