FIND THE MODULO CLASS TO WHICH THE NUMBER BELONGS FOR THE GIVEN MODULO SYSTEM
53 mod 12
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.
To find the modulo class to which the number 53 belongs for the given modulo system 12, you need to calculate the remainder when 53 is divided by 12.
The modulo operation calculates the remainder when one number is divided by another. In this case, you want to find the remainder when 53 is divided by 12, which can be expressed as "53 mod 12."
To calculate this, you can use a calculator or perform the division manually:
53 ÷ 12 = 4 remainder 5
Therefore, the remainder is 5. This means that 53 belongs to the modulo class 5 in the given modulo system 12.
To find the modulo class to which the number 53 belongs for the given modulo system of 12, we can calculate the remainder when 53 is divided by 12.
53 divided by 12 is 4, with a remainder of 5.
Therefore, the modulo class to which the number 53 belongs for the given modulo system of 12 is the remainder, which is 5.