Consider the integers formed using the digits $0,1,2,3,4,5,6$, without repetition. Find the largest multiple of $55$. Justify your answer.
Problem
Source: Singapore Junior Math Olympiad 2014 2nd Round p1 SMO
Tags: number theory, multiple, Digits
Source: Singapore Junior Math Olympiad 2014 2nd Round p1 SMO
Tags: number theory, multiple, Digits
Consider the integers formed using the digits $0,1,2,3,4,5,6$, without repetition. Find the largest multiple of $55$. Justify your answer.