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

A method due to Charlie that  I learned on this site is to divide 555... by 35 using long division until no remainder is produced. The ... means that you append a 5 to the end of each nonzero remainder.  The answer will then turn out to be 555,555. Try it!

Posted by Richard on 2006-05-03 13:57:42