In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation.

Aug 1, 2025 · Modulo calculator finds a mod b, the remainder when a is divided by b. The modulo operation returns the remainder in division of 2 positive or negative numbers or decimals.

Mar 13, 2026 · Modulo is the remainder after division. Learn how it works, what the % symbol means in code, and where it shows up in everyday math and programming.

The modulo (or modulus or mod) is the remainder after dividing one number by another. Because 1009 = 11 with a remainder of 1.

Modulo is an operation that gives you the remainder when one number is divided by another. For example, 17 modulo 5 equals 2, because 17 ÷ 5 = 3 with a remainder of 2.

This says that A is congruent to B modulo C . It is similar to the expressions we used here, but not quite the same. In the next article we will explain what it means and how it is related to the expressions …

May 13, 2026 · For two integers a and b, and a positive integer n, we say that a is congruent to b modulo n if their difference is an integer multiple of n. This is denoted as:

This mod calculator is a mathematics tool that is used to find the remainder of a modulo b. The input boxes are labeled as divisor and dividend to make it easy to understand.

Theorem 1 : Two integers a and b are said to be congruent modulo n, a ≡ b (m o d n), if all of the following are true: a) m ∣ (a b) b) both a and b have the same remainder when divided by n c) a b = k …

This modulo calculator is a handy tool if you need to find the result of modulo operations. All you have to do is input the initial number x and integer y to find the modulo number r, according to x mod y = r.