181 LearnersLast updated on May 26th, 2025
Divisibility Rule of 720
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 720.
What is the Divisibility Rule of 720?
The divisibility rule for 720 is a method by which we can find out if a number is divisible by 720 or not without using the division method. To check whether a number is divisible by 720, we need to ensure that it is divisible by the prime factors of 720, which are 8, 9, and 5.
Step 1: Check divisibility by 8. A number is divisible by 8 if its last three digits form a number that is divisible by 8.
Step 2: Check divisibility by 9. A number is divisible by 9 if the sum of its digits is divisible by 9.
Step 3: Check divisibility by 5. A number is divisible by 5 if its last digit is 0 or 5.
Example: Check whether 1440 is divisible by 720 using the divisibility rule.
Step 1: Check divisibility by 8. The last three digits are 440. Since 440 is divisible by 8 (440 ÷ 8 = 55), the number passes this check.
Step 2: Check divisibility by 9. The sum of the digits of 1440 is 1+4+4+0=9, which is divisible by 9, so the number passes this check.
Step 3: Check divisibility by 5. The last digit of 1440 is 0, which is divisible by 5, so the number passes this check.
Since 1440 passes all three checks, it is divisible by 720.
Tips and Tricks for Divisibility Rule of 720
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 720.
- Know the prime factors: Memorize the prime factors of 720 (8, 9, and 5) to quickly check the divisibility.
- Use the sum of digits: For checking divisibility by 9, quickly add the digits and see if the sum is divisible by 9.
- Use the last digits: For checking divisibility by 8 and 5, focus on the last three digits and the last digit respectively.
- Repeat the process for large numbers: For very large numbers, break them down into smaller components to check divisibility by 8, 9, and 5 separately.
- Use the division method to verify: Use long division if needed to verify and cross-check results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 720
The divisibility rule of 720 helps us to quickly check if a given number is divisible by 720, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all prime factors.
Ensure to check divisibility by all three factors: 8, 9, and 5.
Divisibility Rule of 720 Examples
Problem 1
Is 1440 divisible by 720?
Yes, 1440 is divisible by 720.
Explanation
1) Divide 1440 by 720.
2) The result is 2, which is an integer.
3) Therefore, 1440 is divisible by 720.
Problem 2
Is 2160 divisible by 720?
Yes, 2160 is divisible by 720.
Explanation
1) Divide 2160 by 720.
2) The result is 3, which is an integer.
3) Therefore, 2160 is divisible by 720.
Problem 3
Can 3600 be divisible by 720?
Yes, 3600 is divisible by 720.
Explanation
1) Divide 3600 by 720.
2) The result is 5, which is an integer.
3) Therefore, 3600 is divisible by 720.
Problem 4
Is 1500 divisible by 720?
No, 1500 is not divisible by 720.
Explanation
1) Divide 1500 by 720.
2) The result is approximately 2.0833, which is not an integer.
3) Therefore, 1500 is not divisible by 720.
Problem 5
Check the divisibility rule for 5040 and 720.
Yes, 5040 is divisible by 720.
Explanation
1) Divide 5040 by 720.
2) The result is 7, which is an integer.
3) Therefore, 5040 is divisible by 720.
FAQs on Divisibility Rule of 720
1.What is the divisibility rule for 720?
2.How many numbers are there between 1 and 1000 that are divisible by 720?
3.Is 360 divisible by 720?
4.What if a number passes only some of the divisibility checks?
5.Does the divisibility rule of 720 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 720?
7.What are some fun ways kids in United States can practice Divisibility Rule of 720 with numbers?
8.What role do numbers and Divisibility Rule of 720 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 720 skills?
Important Glossaries for Divisibility Rule of 720
- 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 2 if the number ends with an even number.
- Prime factors: The prime numbers that multiply together to give the original number. For 720, these are 2, 3, and 5.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 720 are 720, 1440, 2160, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits of a number together. This is used for checking divisibility by 9.
Explore More numbers
Previous to Divisibility Rule of 720
About BrightChamps in United States
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.
