x \pmod a

The modulo operation, denoted as x \pmod a, finds the remainder when x is divided by a. It is a fundamental concept in number theory and is used to determine congruence between numbers.

Examples

7 divided by 3 leaves a remainder of 1.

7 \pmod 3 = 1

10 divided by 4 leaves a remainder of 2.

10 \pmod 4 = 2

15 is exactly divisible by 5, leaving a remainder of 0.

15 \pmod 5 = 0