What is modulus? It’s the other part of the answer for integer division. It’s the remainder. Remember in grade school you would say, “Eleven divided by four is two remainder three.” In many programming languages, the symbol for the modulus operator is the percent sign (%). 11 % 4

When you "mod" something, you divide one number by another and take the remainder. So: 5 mod 2 would be 1 because 5 divided by 2 is 2 with 1 left over. The term "mod" stands for the modulo operation, with 2 being the modulus. Most programming languages use % to denote a modulo operation: 5 % 2 = 1.

In modular arithmetic, it is written as A mod B = R, read as ‘A modulo B equals R’ where ‘B’ is referred to as modulus. This means if we divide ‘A’ by ‘B’ the remainder is ‘R.’ For example, 14 3 = 4, r e m a i n d e r 2 ⇒ 14 mod 3 = 2, which means if 14 is divided by 3, the remainder is 2.

In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.