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T O P I C    R E V I E W
Katy 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?
2   L A T E S T    R E P L I E S    (Newest First)
Subhotosh Khan Posted - 09/28/2009 : 10:01:06
That was a clever deduction.
sahsjing 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.

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