Divisibility Rules Worksheets

Welcome to our Divisibility Rules Worksheets page where you will find our selection of sheets to help you test your knowledge of divisibility rules.

We also have an online quiz and some divisibility rules puzzles.

What does divisible mean?

  • A number is divisible by another number if it can be divided by the other number with no remainder.
  • So n is divisible by p if n ÷ p is a whole number with no remainder.

We can also say that a number is divisible by another number if it can be made by multiplying the other number by another whole number.

  • So n is divisible by p if n is in the p times table.

We can also say that n is divisible by p if:

  • p is a factor of n;
  • n is a multiple of p.

Divisibility Rules Worksheets

We have split our worksheets into two sections.

The first section contains 5 sheets and involves using the divisibility rules to fill in a table to say whether numbers are divisible by different digits.

The second section contains 2 puzzles - the aim of each puzzle is to use the clues to work out the correct solution from 8 possible answers.

Divisibility Rules Worksheets - Section 1

The sheets are graded with the easiest ones first.

The rules covered by each sheet are:

  • Sheet 1 - divisibility rules for 1, 5 and 10 only.
  • Sheet 2 - divisibility rules for 1, 2, 5 and 10 only.
  • Sheet 3 - divisibility rules for 1, 2, 3, 5, 6 and 10.
  • Sheet 4 - divisibility rules for 1, 2, 3, 4, 5, 6, 8, 9 and 10.
  • Sheet 5 - divisibility rules for all numbers up to 10.

Divisibility Rules Puzzles

Divisibility Rules Online Quiz 1 (Easier)

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge of divisibility rules for 1, 2, 3, 5, 6 and 10.

Divisibility Rules Online Quiz 2 (Harder)

This quick quiz tests your knowledge of divisibility rules for all numbers up to 10.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Divisibility Rules Charts

If you are looking for some printable divisibility charts to help you learn you rules, then try our range here.

Factors and Multiples Worksheets

 

How to Print or Save these sheets 🖶

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Follow these 3 steps to get your worksheets printed perfectly!

How to Print or Save these sheets 🖶

Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.


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