FIND THE MODULO CLASS TO WHICH THE NUMBER BELONGS FOR THE GIVEN MODULO SYSTEM

Question

53 mod 12

Answer 1

For the case of mod 12, there are 12 modulo classes, from 0 to 11, equivalent to the remainder when a number n is divided by 12. You can also consider the class as the 12 numbers on an analog clock, with the "12" representing the class 0. By counting the numbers on the clock in a circular manner, 53 mod 12 will end up at the number 5 (= 53 mod 12), which is its modulo class.