How to Use Modulo Calculator

Step 1: Enter the Dividend and the Divisor

Step 2: Click calculate 

Step 3: A page with the Mod answer and steps will appear

What is Modulo

Modulo is a mathematical operation that seeks a remainder when a number is divided by another number. It is represented by the symbol % and abbreviated as Mod. A modulus problem can be represented in mathematics by X % Y or X mod Y. 

Modulo symbol

%

Other names for Modulo

Modulus, Mod

Syntax

a mod n =  r whereby a and n are numbers while r is the remainder. a  is the dividend while n is the divisor. 

How to Find Modulo

There are two ways to find modulo by division.:

Multiplication by Ignoring the decimals: 

Steps: 

• Divide a by n
• Ignore the whole numbers and work with decimals
• Find the product of the decimals and the divisor

Example

2 mod 5 

2 divided by 5 is equal to 0.4

0.4  times 5 is 2

Therefore

2 mod 5 is 2 

Subtraction by ignoring whole numbers

steps

• Divide a by n
• Ignore whole numbers and work with decimals
• Find the difference between the dividend and the answer in step 2

2 divide 5  is 0.4

Let’s ignore decimals 0 and multiply it with the divisor 5

0 times 5 is 0

Now subtract 0 from 2

2 – 0 = 2

Therefore 2 mod 5 is 2

Uses of Modulo

• Clock Arithmetic: Modulo is used to convert a 24-hour clock to a 12-hour clock. for example, 15 becomes 3 PM because 15 mod 12 is 3.
• Scientific uses: Modulo is used in computer science, cryptography, and programming. 
• Check Digits: Modulo is applied in verifying data from various serial numbers such as ISBN, ISSN, IBAN, and NPI 

Modulo Formula

a mod b = Dividend – (Divisor x Quotient)   a is the dividend while b is the diviso