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   Author  Topic: divide by 3  (Read 1291 times)
BNC
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divide by 3  
« on: Jan 14th, 2003, 7:19am »
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Prove that a number is divisible by 3 iff the sum of its digits is divisible by 3.
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How about supercalifragilisticexpialidociouspuzzler [Towr, 2007]
towr
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Re: divide by 3  
« Reply #1 on: Jan 14th, 2003, 9:31am »
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So  
 
where M3 is of course the set of multiples of three..
And now to prove it..
(I just want to show off my formula generator)
« Last Edit: Jan 14th, 2003, 9:31am by towr » IP Logged

Wikipedia, Google, Mathworld, Integer sequence DB
towr
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Re: divide by 3  
« Reply #2 on: Jan 14th, 2003, 10:16am »
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I've got it Tongue
click here to see (link to the formula, since I can't hide it like normal text)
« Last Edit: Jan 14th, 2003, 10:22am by towr » IP Logged

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