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The Massive Number 11 Trick #shorts

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Channel: Vsauce2
Categories: Basic Math   |   Math  
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You can take any number with 2 or more digits and determine almost instantly whether it's divisible by 11, and the method is actually really, really easy -- even for a number like 2,399,317,565,387,204.

All it takes is simple addition and alternating between the odd and even digits. If the difference between the two sums is 0 or a number that's divisible by 11, then the entire number is divisible by 11. It's that easy.

Think about it with a 2-digit number like 33. The difference between the first digit (3) and the second digit (3) is 0, and 33 is obviously divisible by 11. 121? (1 + 1) = 2, and the even digit is also 2 -- 121 is divisible by 11. Try this with a number that has... 137 digits. GO.


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