What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

(In reply to Idea by Gamer)

The problem is the ambiguity of the term "written with". If the problem is "smallest positive multiple of 255 whose base 10 representation contains only 0's and 1's" I cannot see a flaw in the reasoning. Of course if the base can change the answer is clearly 255 as:

255 = 10 (base 255)

If you are allowed to interpose mathematical operations:

255 = 1+1+1+...+1 (255 times).

Could the author clarify (at least give a hint) why the previous guesser is not correct?

Thanks,

Lyman (flooble newbie)

Posted by Lyman Hurd on 2003-04-08 08:22:21