What is the least positive integer that has only 1s and 0s as digits and is a multiple of 75?

I understand the answer is 148, as I found myself by multiplying 75 by even numbers until I got to 11100.

But how would you find this quicker?

Thanks in advance!

CentsLord Jul 16, 2020

#1**+1 **

Hi, CentsLord.

I found a useful article for you :)

BTW do you happen to use AoPS? I think I know you there.... what's your username?

CalTheGreat Jul 16, 2020