Question

what is the smallest six digit number exactly divisible by 111

Answer 1

100000111=900100111. This means 100 is the reminder when we divide 100000 by 111.

Hence the last number divisible by 111 before 100000 is 100000 - 100 = 99900.

But this is less than 100000. We are looking for smallest 6 digit number divisible by 100000 - so it has to be greater than 100000.

So 99900+111 = 100011 is greater than 100000, is divisible by 111 and is the smallest 6 digit number divisible by 111.

Answer 2

111111is the smallest six digit that is exactly divisible by 111