183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 270
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 270.
What is the Divisibility Rule of 270?
The divisibility rule for 270 is a method by which we can find out if a number is divisible by 270 or not without using the division method. Check whether 5400 is divisible by 270 with the divisibility rule.
Step 1: Verify that the number is divisible by 2. Since 5400 ends in 0, it is divisible by 2.
Step 2: Verify that the number is divisible by 3. Sum the digits of 5400: 5 + 4 + 0 + 0 = 9, which is divisible by 3.
Step 3: Verify that the number is divisible by 5. Since 5400 ends in 0, it is divisible by 5.
Step 4: Verify that the number is divisible by 9. The sum of the digits, 9, is divisible by 9.
Step 5: Verify that the number is divisible by 10. Since 5400 ends in 0, it is divisible by 10
Since 5400 satisfies the divisibility rules for 2, 3, 5, 9, and 10, it is divisible by 270.
Tips and Tricks for Divisibility Rule of 270
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 270.
Know the multiples of 270:
Memorize the multiples of 270 (270, 540, 810, 1080, etc.) to quickly check divisibility.
Break it down:
Since 270 is a product of 2, 3, 5, 9, and 10, ensure the number is divisible by these factors.
Combine divisibility rules:
Use the combined rules for 2, 3, 5, 9, and 10 to check large numbers efficiently.
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 270
The divisibility rule of 270 helps us quickly check if a given number is divisible by 270, 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 divisibility by all factors.
Ensure the number is divisible by 2, 3, 5, 9, and 10.
Divisibility Rule of 270 Examples
Problem 1
Is 540 divisible by 270?
Yes, 540 is divisible by 270.
Explanation
To determine if 540 is divisible by 270, we can divide 540 by 270.
1) Divide 540 by 270, which equals 2.
2) Since the result is an integer, 540 is divisible by 270.
Problem 2
Check the divisibility rule of 270 for 1080.
Yes, 1080 is divisible by 270.
Explanation
For checking the divisibility of 1080 by 270, perform the division:
1) Divide 1080 by 270, resulting in 4.
2) The result is an integer, indicating that 1080 is divisible by 270.
Problem 3
Is 1350 divisible by 270?
Yes, 1350 is divisible by 270.
Explanation
To verify if 1350 is divisible by 270:
1) Divide 1350 by 270, which equals 5.
2) Since the quotient is an integer, 1350 is divisible by 270.
Problem 4
Can 500 be divisible by 270 following the divisibility rule?
No, 500 isn't divisible by 270.
Explanation
To check divisibility of 500 by 270:
1) Divide 500 by 270, which approximately equals 1.85.
2) Since the result is not an integer, 500 is not divisible by 270
Problem 5
Check the divisibility rule of 270 for 2160.
Yes, 2160 is divisible by 270.
Explanation
To check if 2160 is divisible by 270, perform the division:
1) Divide 2160 by 270, which equals 8.
2) The result is an integer, confirming that 2160 is divisible by 270.
FAQs on Divisibility Rule of 270
1.What is the divisibility rule for 270?
2.How many numbers are there between 1 and 1000 that are divisible by 270?
3.Is 810 divisible by 270?
4.What if I get 0 after checking all rules?
5.Does the divisibility rule of 270 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 270?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 270 with numbers?
8.What role do numbers and Divisibility Rule of 270 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 270 skills?
Important Glossaries for Divisibility Rule of 270
- Divisibility Rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by integers. For example, multiples of 270 include 270, 540, 810, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Factors: Numbers that divide another number evenly. The factors of 270 crucial for divisibility are 2, 3, 5, 9, and 10.
- Verification: The process of confirming results, often done using the division method.
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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
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