Mod

**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

**Modulo Video Tutorial**

**Solved Modulo Examples**

**Frequently Asked Questions**

**1. How do you calculate Modulo?**

- First, Divide the dividend by the divisor,
- Ignore the decimals and multiply the whole number with the divisor
- Subtract the answer from the second step to get your final answer

**2. What is Modulo in Math?**

Modulo in mathematics refers to the remainder of two numbers using long division.

**3. What does 5mod7 mean?**

5 mod 7 is 5. That means 5/7 is 0 remainder 5

**4. What is a mod in programming?**

Mod in programming is an operation used to find the remainder after dividing two numbers.