150 LearnersLast updated on May 26th, 2025
Divisibility Rule of 135
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 135.
What is the Divisibility Rule of 135?
The divisibility rule for 135 is a method by which we can determine if a number is divisible by 135 or not without using the division method. Check whether 5400 is divisible by 135 with the divisibility rule.
Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. Here, in 5400, the last digit is 0.
Step 2: Check if the number is divisible by 9. A number is divisible by 9 if the sum of its digits is a multiple of 9. Here, 5 + 4 + 0 + 0 = 9, which is a multiple of 9.
Step 3: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is a multiple of 3. Here, the sum is 9, which is a multiple of 3.
Since 5400 satisfies the divisibility rules for 5, 9, and 3, it is divisible by 135.
Tips and Tricks for Divisibility Rule of 135
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 135.
- Know the multiples of 135: Memorize the multiples of 135 (135, 270, 405, 540, etc.) to quickly check divisibility.
- Use the divisibility rules for 5, 9, and 3: Ensure all three rules apply to confirm divisibility by 135.
- Repeat the process for large numbers: Students should keep applying the divisibility process for each factor of 135 until they reach a smaller number that can be easily checked.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 135
The divisibility rule of 135 helps us quickly check if a given number is divisible by 135, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all three divisibility rules.
Ensure the number passes the divisibility checks for 5, 9, and 3.
Divisibility Rule of 135 Examples
Problem 1
Is 540 divisible by 135?
Yes, 540 is divisible by 135.
Explanation
To check if 540 is divisible by 135, we can use the divisibility rule by breaking it down into smaller parts.
1) Check if 540 is divisible by 5 (last digit is 0, so yes).
2) Check if 540 is divisible by 9 (sum of digits 5 + 4 + 0 = 9, which is divisible by 9).
3) Finally, check if 540 is divisible by 3 (sum of digits is 9, which is divisible by 3).
Since 540 meets all the criteria, it is divisible by 135.
Problem 2
Check the divisibility rule of 135 for 675.
Yes, 675 is divisible by 135.
Explanation
To check if 675 is divisible by 135, we break it down:
1) Check if 675 is divisible by 5 (last digit is 5, so yes).
2) Check if 675 is divisible by 9 (sum of digits 6 + 7 + 5 = 18, which is divisible by 9).
3) Finally, check if 675 is divisible by 3 (sum of digits is 18, which is divisible by 3).
Since 675 meets all the criteria, it is divisible by 135.
Problem 3
Is -1080 divisible by 135?
Yes, -1080 is divisible by 135.
Explanation
To check if -1080 is divisible by 135, we consider the positive value 1080:
1) Check if 1080 is divisible by 5 (last digit is 0, so yes).
2) Check if 1080 is divisible by 9 (sum of digits 1 + 0 + 8 + 0 = 9, which is divisible by 9).
3) Finally, check if 1080 is divisible by 3 (sum of digits is 9, which is divisible by 3).
Since 1080 meets all the criteria, it is divisible by 135.
Problem 4
Can 485 be divisible by 135 following the divisibility rule?
No, 485 isn't divisible by 135.
Explanation
To check if 485 is divisible by 135, we break it down:
1) Check if 485 is divisible by 5 (last digit is 5, so yes).
2) Check if 485 is divisible by 9 (sum of digits 4 + 8 + 5 = 17, which is not divisible by 9).
Since 485 fails the divisibility rule for 9, it is not divisible by 135.
Problem 5
Check the divisibility rule of 135 for 1350.
Yes, 1350 is divisible by 135.
Explanation
To check the divisibility of 1350 by 135, we break it down:
1) Check if 1350 is divisible by 5 (last digit is 0, so yes).
2) Check if 1350 is divisible by 9 (sum of digits 1 + 3 + 5 + 0 = 9, which is divisible by 9).
3) Finally, check if 1350 is divisible by 3 (sum of digits is 9, which is divisible by 3).
Since 1350 meets all the criteria, it is divisible by 135.
FAQs on Divisibility Rule of 135
1.What is the divisibility rule for 135?
2.How many numbers are there between 1 and 1000 that are divisible by 135?
3.Is 270 divisible by 135?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 135 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 135?
7.What are some fun ways kids in United States can practice Divisibility Rule of 135 with numbers?
8.What role do numbers and Divisibility Rule of 135 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 135 skills?
Important Glossaries for Divisibility Rule of 135
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 135 if it is divisible by 5, 9, and 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 135 are 135, 270, 405, 540, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The sum of digits refers to adding all the digits of a number together to check divisibility, for example, by 9 or 3.
- Verification: The process of confirming the divisibility by using another method, such as direct division, to ensure the result is correct.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
