Question

What is the possible values of remainder r, when a positive integer 'a' is divided by 3

Answer 1

Let us take three consecutive numbers 12 , 13 , 14 .

Now, When 12 is divided by 3 , It leaves a remainder 0 .

When 13 is divided by 3 , It leaves a remainder 1 .

When 14 is divided by 3 , It leaves a remainder 2 .

So, For a integer " a " , when divided by 3 , It leaves a Remainder " r " = { 0 , 1 , 2 }

:)