How to Use Divisibility Rules for Numbers 2, 3, 4, 5, 6, 9 & 10
FAQs on Class 5 Maths Divisibility Rules Worksheet with Answers
1. What are the main divisibility rules for Class 5?
The main divisibility rules for Class 5 are simple shortcuts to check if a number can be divided by another without leaving a remainder. These rules are essential for developing mental math skills and understanding factors and multiples.
- Rule for 2: A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, or 8).
- Rule for 3: A number is divisible by 3 if the sum of all its digits is divisible by 3.
- Rule for 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- Rule for 5: A number is divisible by 5 if its last digit is either 0 or 5.
- Rule for 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- Rule for 9: A number is divisible by 9 if the sum of all its digits is divisible by 9.
- Rule for 10: A number is divisible by 10 if its last digit is 0.
2. How do you explain divisibility rules?
Divisibility rules are a set of simple guidelines or patterns used to determine if one number is evenly divisible by another without performing the actual division. They act as mental math strategies that help students in Grade 5 quickly identify factors of a number by looking at its digits.
3. What is the divisibility rule of 5?
The divisibility rule of 5 is one of the easiest to learn and apply for students. A number is divisible by 5 if its last digit (the digit in the ones place) is either a 0 or a 5. For example, the numbers 20, 85, 150, and 2,345 are all divisible by 5.
4. What are the divisibility rules for 6 and 10?
The divisibility rules for 6 and 10 are straightforward and often used in Class 5 Maths. Here are the rules:
- Divisibility rule for 6: A number is divisible by 6 only if it satisfies two conditions: it must be divisible by 2 (an even number) AND it must be divisible by 3 (the sum of its digits is a multiple of 3). For example, 72 is divisible by 6 because it's an even number and the sum of its digits (7+2=9) is divisible by 3.
- Divisibility rule for 10: A number is divisible by 10 if its last digit is 0. For example, 50, 190, and 3,400 are all divisible by 10.
5. Which numbers are divisible by 9?
A number is divisible by 9 if the sum of all its digits is a multiple of 9. This rule is very similar to the divisibility rule of 3. For example, to check if 198 is divisible by 9, you add its digits: 1 + 9 + 8 = 18. Since 18 is divisible by 9, the number 198 is also divisible by 9.
6. How can I use this Class 5 Maths Divisibility Rules worksheet at home?
This worksheet is an excellent resource for home practice and can be used to reinforce what is taught in school. You can download the printable PDF, ask your child to solve the questions, and then check their answers using the provided answer key. It's perfect for homework support, exam preparation, and building confidence in math.
7. Does this divisibility rules worksheet for Class 5 include an answer key?
Yes, this Class 5 Maths Divisibility Rules worksheet comes with a complete answer key. The answers are provided to help parents and students verify their solutions, understand mistakes, and master the concepts effectively. Having a worksheet with answers makes self-assessment easy and reliable.
8. What is the divisibility rule of 7 for Class 5?
The divisibility rule for 7 is generally considered more complex and is not a primary focus in the CBSE Class 5 Maths syllabus. However, a common method is to double the last digit of the number and subtract it from the rest of the number. If the result is 0 or a number divisible by 7, then the original number is also divisible by 7. For most Grade 5 students, focusing on the rules for 2, 3, 4, 5, 6, 9, and 10 is more important.
9. What skills are built by this divisibility rules activity?
Practicing with this divisibility rules worksheet helps Class 5 students build several important mathematical skills. These include:
- Mental Math: Enhances the ability to perform calculations quickly without a calculator.
- Number Sense: Develops a deeper understanding of numbers, their properties, and relationships.
- Problem-Solving: Provides shortcuts for checking factors and simplifying fractions.
- Logical Reasoning: Reinforces the ability to apply rules and patterns to solve problems.
- Test Preparation: Builds speed and accuracy, which are crucial for school exams.
10. Is this worksheet printable and suitable for Grade 5 students?
Absolutely. This divisibility rules worksheet is designed specifically for Grade 5 students (around 10-11 years old). It is available as a free, printable PDF with clear instructions, large fonts, and an uncluttered layout, making it easy to use at home or in the classroom for extra practice.

















