Author 
Topic 

Katy
Junior Member
Canada
6 Posts 
Posted  09/26/2009 : 16:35:28

From the decimal form of 1/13 we pick 99 consecutive digits and treat it as a 99 digit number. Can this number be divisible by 3? 


sahsjing
Advanced Member
USA
2399 Posts 
Posted  09/27/2009 : 01:40:09

1/13 = .0769230769230769230... So, the repeating part is 769230 which is the multiple of 3. Now calculate 99/6 which has the remainder of 3. But none of the three consecutive digits is divisible by 3. Therefore, this number cannot be divisible by 3. 
Edited by  sahsjing on 09/27/2009 01:40:47 


Subhotosh Khan
Advanced Member
USA
9116 Posts 
Posted  09/28/2009 : 10:01:06

That was a clever deduction. 



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