What is Divisibility Rule of 10

What is the Divisibility Rule of 10? | Comprehensive Guide

In this guide, we will explore the Divisibility Rule of 10, a simple and effective rule for determining whether a number is divisible by 10. This rule is essential for quick calculations and helps in various number-related tasks, such as simplifying fractions or identifying multiples of 10.

Rule

A number is divisible by 10 if and only if its last digit is 0.

In other words, for a number to be divisible by 10, the number must end in zero. If the last digit is any number other than zero, then it is not divisible by 10.

Why Does It Work?

This rule works because 10 is the product of 2 and 5, and any number divisible by both 2 and 5 must end in a 0. Numbers like 20, 50, and 100 are divisible by both 2 and 5, which means they are divisible by 10. Since a number ending in a 0 is divisible by both 2 and 5, it will also be divisible by 10.

Examples of Divisibility by 10

• 100: The last digit is 0, so 100 is divisible by 10.
• 1230: The last digit is 0, so 1230 is divisible by 10.
• 45: The last digit is 5, so 45 is not divisible by 10.
• 780: The last digit is 0, so 780 is divisible by 10.

Summary

• A number is divisible by 10 if it ends in 0.
• This rule is simple and quick to apply, making it very useful for performing divisibility checks in mathematics and everyday calculations.

For more information, check out the full article on GeeksforGeeks: Divisibility Rule of 10.