Math Tutorial 1.6 - Divisibility Rules

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There are 21 lessons in this math tutorial covering Divisibility Rules. The tutorial starts with an introduction to Divisibility Rules and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Divisibility Rules. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What does divisibility mean?
  • How do we write in symbols when a number is divisible by another number?
  • What are the divisibility rules for the numbers from 1 to 20?
  • What are relatively prime numbers?
  • How do relatively prime numbers determine some of divisibility rules?


Can you quickly calculate whether 91 is divisible by 7 or not? How?

What is the common divisor of all even numbers?

How would you find whether 100 000 is divisible by 25 or not?

In this guide, we will learn how to find whether a number is divisible by another number or not without using a calculator or doing other complicated operations to find the result. This is particularly important in situations where a quick response is crucial, such as in exams.

The meaning of Divisibility

An integer x is divisible by another integer y, if the result of x ÷ y is another integer, i.e. it is a number without remainder (r = 0). We write the symbol (⁝) to represent the divisibility of two numbers. Thus, the expression x ⁝ y reads "the integer x is divisible by the integer y without a remainder".

For example, the arithmetic sentence 24 ⁝ 8 is true as 24 ÷ 8 = 3 (0), while the arithmetic sentence 31 ⁝ 7 is not true as 31 ÷ 7 = 4 (3).

We will cover the divisibility rules for divisors from 1 to 20, as they are the most commonly used numbers in practice. However, we will briefly explain divisibility rules for some numbers greater than 20 as well to expand your understanding of this math topic.

Please select a specific "Divisibility Rules" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
1.6Divisibility Rules
Lesson IDMath Lesson TitleLessonVideo
1.6.1Divisibility by 1
1.6.2Divisibility by 2
1.6.3Divisibility by 3
1.6.4Divisibility by 4
1.6.5Divisibility by 5
1.6.6Divisibility by 6
1.6.7Divisibility by 7
1.6.8Divisibility by 8
1.6.9Divisibility by 9
1.6.10Divisibility by 10
1.6.11Divisibility by 11
1.6.12Divisibility by 12
1.6.13Divisibility by 13
1.6.14Divisibility by 14
1.6.15Divisibility by 15
1.6.16Divisibility by 16
1.6.17Divisibility by 17
1.6.18Divisibility by 18
1.6.19Divisibility by 19
1.6.20Divisibility by 20
1.6.21Other Divisibility Rules. How Relatively Prime Numbers Determine the Divisibility Rules.

Whats next?

Enjoy the "Divisibility Rules" math tutorial? People who liked the "Divisibility Rules" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Arithmetic Video tutorial: Divisibility Rules. Watch or listen to the Divisibility Rules video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Arithmetic Revision Notes: Divisibility Rules. Print the notes so you can revise the key points covered in the math tutorial for Divisibility Rules
  4. Arithmetic Practice Questions: Divisibility Rules. Test and improve your knowledge of Divisibility Rules with example questins and answers
  5. Check your calculations for Arithmetic questions with our excellent Arithmetic calculators which contain full equations and calculations clearly displayed line by line. See the Arithmetic Calculators by iCalculator™ below.
  6. Continuing learning arithmetic - read our next math tutorial: Decimal Number System and Operations with Decimals

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