Modulo Calculator

This modulo calculator is a free online tool for calculating the modulo between two given numbers.

Modulo Calculator

a mod b

Eg, What is 8 mod 5? Enter 8 in the first input box and enter 5 in the second input box, then click Calculate button.

What is the modulo?

The modulo, also known as the modulus, refers to the remainder of dividing one number by another. It is represented by the symbol mod or %. For example, 10 mod 3 is 1, which means that the remainder of 10 divided by 3 is 1. It can also be represented by 10 % 3 = 1.

If two numbers are divisible, their modulus is 0. For instance, 18 mod 6 is 0, because the quotient of 18 divided by 6 is 3, the remainder is 0.

In short, computing the modulus of two numbers is the process of finding the remainder.

How to use the modulo calculator

The procedure to use the modulo calculator is as follows:

1Enter 2 numbers in the two input boxes respectively.
2Click Calculate button to calculate the modulo of them, or click Reset button to start a new calculation.

Next, let’s look at some examples.

Solved examples using the modulo calculator

Example 1: What is 5 mod 2?

Enter 5 in the first input box.

Enter 2 in the second input box.

Then click Calculate button, as shown in the figure, 5 mod 2 is 1.

5 mod 2 = 1

Example 2: What is 2025 modulo 4?

Enter 2025in the first input box.

Enter 4in the second input box.

Then click Calculate button, as shown in the figure, 2025 mod 4 is 1.

2025 mod 4 = 1

Modulo Calculator