Thursday 30 January 2014

Magic Number 1001

Select any three digit number (say 176). Now make a six digit number by repeating the selected number (i.e. in our case 176176).
Now divide the number with 13 then with 11 and then with 7. Answer will be the original three digit number. (i.e. 176)

The math behind the fact:
By repeating the number besides the original, we are actually doing a 1001 multiplication.
abc(1001) = abc (100 + 1) = abc000 + abc = abcabc.
And by doing a division of 13, followed by 11, and 7, we are trying to do a division of 1001.Therefore abc (1001) / 1001 gives us back the original abc.

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