When n is divided by 5, the remainder is 1. What is the remainder when 3n is divided by 5? Can I have the explanation + solution
It's pretty obvious that the remainder is 3 but what is the math behind it
Let m be a multiple of 5.
n is one more than a multiple of 5, so n=m+1
3m will always be a multiple of 5 because m is a multiple of 5, so the remainder is 3.