Find the smallest positive integer that is a multiple of 35 whose digits are all the same.

Since 35 ends in five, all of its multiples will end in either 5 or 0. So the digit we're looking for must be all fives. Trial and error should get you pretty quickly to the answer of 555,555. That's 35 times 15,873.

Posted by Jyqm on 2006-05-03 09:36:37