Divisibility Rules Worksheets

Division is one of the basic operations of Arithmetic. When you divide something, it means you separate it or share it into equal parts. Like subtraction is the inverse operation of addition, division is the inverse operation of multiplication. Division can be denoted by any of the following 3 symbols – the slash ( / ), the horizontal line ( ) or the division symbol ( ÷ ). Divisibility rules make learning division easier, and help your child learn to divide easily using these divisibility rules worksheets.

Math is not always easy to understand, some children have more difficulty understanding math concepts than others. In such cases, you’ll need to explore different methods of teaching a concept. Sure math is full of problems, but it doesn’t have to make your life problematic. Sometimes a problem just needs a bit of patience and exploring it from a different angle. And a few tips and tricks here and there will also make your life a lot easier when you’re teaching math to your kid. Divisibility rules are one such trick. It is needless to say, math worksheets for kids like divisibility rules worksheets are a wonderful tool to help your child learn the divisibility rules or tests.

List of Divisibility Rules Worksheets

Learning divisibility rules will help your kids understand whether a particular number is divisible by other numbers. If division problems aren’t your child’s strong suit, division calculations can prove to be problematic. But a good knowledge of divisibility rules will get them out of that particular pickle! The best way to remember all these rules is to practice on divisibility rules worksheets. Here are some worksheets for kids on divisibility rules that will help children solve division problems easily.

Divisibility Rules Worksheets for 10

Circle the correct watermelon slices with numbers that are divisible by 10. Ask kids to calculate and, then circle the correct numbers on the worksheet given below. These visually appealing worksheets help children learn divisibility rules in a creative way. Check out the divisibility rules worksheets for 10 given below.

Solve the divisible problems: Divisibility rules worksheets for kids

Yes or No Divisibility Rules Worksheet

Help children mark yes or no for the questions mentioned on the worksheet given below. With the help of these worksheets, kids can learn divisibility rules in different ways. This is the best exercise for kids to develop their decision-making skills.

Mark True or false on divisible problems: Free printable divisibility rules worksheets

Divisibility Rules Worksheet for 3

Little ones learn concepts easily that are engaging and interesting for them. Therefore, learning divisibility rules using different worksheets help children retain the information faster. Kids need to answer the questions related to divisibility rule for the number 3 mentioned on the worksheet below.

Answer the divisibility questions: Worksheet on divisibility rules

Divisibility Rules Worksheets for 5

Kids can practice divisibility rules for different numbers using the worksheets. In this worksheet, kids need to write the correct answers to the questions asked, for example, which of the following numbers are divisible by 5? Similarly, you can ask different questions to enhance their knowledge of divisibility rules.

Solve the word problems on divisibility: Divisibility rules math worksheets

Simple Divisibility Rules Worksheets

Practicing these worksheets help children expand their knowledge for better learning outcomes. In this worksheet, kids need to tick mark the numbers that are divisible by the given numbers. For example, Is 309 divisible by 3? If yes, kids need to tick mark in the space provided. Check out the simple divisibility rules worksheets for kids given below.

Mention the divisible number on the worksheet: Free divisibility rules worksheets

Divisibility Rules from 1 to 10

Before you solve the divisibility rules worksheets, help your child learn the divisibility rules from 1 to 10.

Divisibility rules for 1

The divisibility rule for 1 is very simple. All numbers are divisible by the number 1, irrespective of whether it’s a large number or a small number. When you divide a number by 1, you get the same number as the answer. For example: 2 ÷ 1 = 2. Or,123456789 ÷ 1 = 123456789.

Divisibility rules for 2

Any number, which has 0, 2, 4, 6 and 8 as the last digit is divisible by 2. For example: 20 ÷ 2 = 10. Or, 44 ÷ 2 = 22.

Divisibility rules for 3

A number is completely divisible by 3 if the sum of the numbers can be divided by 3 or is a multiple of 3. For example: Let’s find out if 308 is divisible by 3. Add the digits in the number. So, 3 + 0 = 8 = 11. 11 is not divisible by 3, so 308 cannot be divided by 2.

Let’s try another number, let’s check if 285 can be divided by 3. Add the digits, 2 + 8 + 5 = 15. 3 multiplied by 5 is 15, so 285 is divisible by 3.

Divisibility test for 4

If the last two digits of the number can be divided by 4, then that number is divisible by 4. For example: let’s check if 2508 can be divisible by 4. The last two digits of the number are 08, which is divisible by 4. 8 ÷ 4 = 2. So, 2508 is divisible by 4.

Divisibility test for 5

Any number that has 0 and 5 at the end can be divided by 5. For example: 55 ÷ 5 = 11 and 2200 ÷ 5 = 440.

Divisibility test for 6

Any number which has an even number or 0 as the last digit and the sum of the numbers is divisible by 3 can be divided by 6. For example: let’s find out if 270 can be divided by 6. The sum of the digits ( 2 + 7 + 0) = 9. 9 is divisible by 3. Therefore, 270 can be divided by 6.

Divisible rule for 7

Here is a formula to find out if a number is divisible by 7. First, double the last digit of the number and then subtract it from the remaining number. If the answer is divisible by 7, then the original number is also divisible by 7. For example: Let’s find out if 343 is divisible by 7. First, multiply the last digit by 2. So, 3 X 2 =6.

Then, subtract it from the remaining number. So, 34 – 6 = 28.

28 ÷ 7 = 4. Since 28 is divisible by 7, 343 is also divisible by 7.

Divisible rule for 9

If the sum of the digits is divisible by 9, then that number can be divided by 9. For example: Let’s find out if 7686 is divisible by 9.

First add the digits, 7 + 6 + 8 + 6 = 27.

27 ÷ 9 = 3. Since 27 is divisible by 9, 7686 is also divisible by 9.

Divisible rule for 10

Any number that ends with 0 is divisible by 10. For example: 7690 ÷ 10 = 769.

Divisibility Rules or Tests

Divisibility rules or tests tell you whether a number is divisible by another number without having to do a lot of calculations. For a number to be divisible by another number, the result or quotient should be a whole number and the remainder should be 0. But we know that there are several numbers, which cannot be completely divided by other numbers. These divisibility rules will help us find a number’s actual divisor by just examining the digits in that number. Learning the divisibility rules from 1 to 10 is really beneficial for your child. It’ll help them solve division problems quickly and easily. 

Benefits of Using Divisibility Rules Worksheets

The benefits of using divisibility rules worksheets for kids are mentioned below.

  • It develops math skills in children.
  • It keeps children involved in learning divisibility rules with the help of worksheets.
  • It increases speed and accuracy of children while solving division problems by using the divisibility rules.
  • It helps children score good marks in the topics related to division.
  • It develops fine motor skills in children.
  • It creates interest among children to practice division problems using the worksheets.
  • It helps children track their own learning using the worksheets.
  • It helps in assessing children’s performance.
  • It provides an opportunity for children to work on their weak areas for better learning outcomes.
  • It helps children think out of the box and come up with new ideas to enhance their learning experience.
  • It helps children identify learning gaps while practicing worksheets.
  • It engages children for a longer period of time.
  • It develops time management skills in children.
  • It motivates children to practice problems using the divisibility rules.

We hope you found these divisibility rules worksheets useful. For more activities, games and worksheets that make learning fun, check our kids learning section.

Frequently Asked Questions on Divisibility Rules Worksheets

What are the examples of Divisibility rules worksheet?

Some of the examples of the Divisibility rules worksheet are 12 divisible by 2? Is 15 divisible by 5? Is 14 divisible by 7? Is 100 divisible by 2? Is 169 divisible by 13? Is 625 divisible by 25?

Why are Divisibility rules worksheet important to children?

Divisibility rules worksheet is important to children because they help them to learn the basics of division and motivates them to develop mathematical skills. Besides this, kids can learn how to divide large numbers or two digit numbers or any of the perfect square roots effectively.