205 LearnersLast updated on May 26th, 2025
Divisibility Rule of 360
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 360.
What is the Divisibility Rule of 360?
The divisibility rule for 360 is a method by which we can find out if a number is divisible by 360 without using the division method. A number is divisible by 360 if it is divisible by 8, 9, and 5. Check whether 7200 is divisible by 360 using the divisibility rule:
Step 1: Check divisibility by 8. The last three digits of 7200 are 200, and 200 is divisible by 8.
Step 2: Check divisibility by 9. Sum the digits of 7200: 7+2+0+0=9. Since 9 is divisible by 9, 7200 is divisible by 9.
Step 3: Check divisibility by 5. Since 7200 ends with 0, it is divisible by 5.
Since 7200 meets all three conditions, it is divisible by 360.
Tips and Tricks for Divisibility Rule of 360
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 360:
- Know the divisibility rules for 8, 9, and 5: Memorize these rules to quickly check the divisibility by 360.
- Use the last digits: For divisibility by 8, check the last three digits; for divisibility by 5, check the last digit.
- Sum of digits: For divisibility by 9, sum the digits and check if the result is a multiple of 9.
- Repeat the process for large numbers: If dealing with very large numbers, break them down and check each condition separately.
- Use the division method to verify: Verify your results using the division method to ensure accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 360
The divisibility rule of 360 helps us quickly check if a given number is divisible by 360, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them:
Mistake 1
Not checking all conditions.
Ensure to check divisibility by 8, 9, and 5.
Mistake 2
Miscalculating the sum of digits for divisibility by 9.
Carefully add all digits and check if the sum is a multiple of 9.
Mistake 3
Forgetting to use the last three digits for divisibility by 8.
Always verify the last three digits for divisibility by 8.
Mistake 4
Not considering numbers ending with 0 or 5 for divisibility by 5.
Ensure the last digit is 0 or 5 when checking for divisibility by 5.
Mistake 5
Confusing the rules for different divisors.
Practice regularly to familiarize yourself with the rules for 8, 9, and 5.
Divisibility Rule of 360 Examples
Problem 1
Can 7200 be evenly divided by 360?
Yes, 7200 is divisible by 360.
Explanation
To verify divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 7200 are 200, which is divisible by 8 (200 ÷ 8 = 25).
2) Check divisibility by 45: The number 7200 ends with a zero, and the sum of its digits (7 + 2 + 0 + 0 = 9) is divisible by 9. Therefore, 7200 is divisible by both 9 and 5, making it divisible by 45.
Problem 2
Is 1080 divisible by 360?
Yes, 1080 is divisible by 360.
Explanation
To check divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 1080 are 080, which is divisible by 8 (80 ÷ 8 = 10).
2) Check divisibility by 45: The number 1080 ends with a zero, and the sum of its digits (1 + 0 + 8 + 0 = 9) is divisible by 9. Therefore, 1080 is divisible by both 9 and 5, making it divisible by 45.
Problem 3
Is 2340 divisible by 360?
No, 2340 is not divisible by 360.
Explanation
To determine divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 2340 are 340, which is not divisible by 8 (340 ÷ 8 = 42.5).
2) Since 2340 is not divisible by 8, it cannot be divisible by 360.
Problem 4
Check if 5760 is divisible by 360.
Yes, 5760 is divisible by 360.
Explanation
A number is divisible by 360 if it is divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 5760 are 760, which is divisible by 8 (760 ÷ 8 = 95).
2) Check divisibility by 45: The number 5760 ends with a zero, and the sum of its digits (5 + 7 + 6 + 0 = 18) is divisible by 9. Therefore, 5760 is divisible by both 9 and 5, making it divisible by 45.
Problem 5
Is 2520 divisible by 360?
Yes, 2520 is divisible by 360.
Explanation
To confirm divisibility by 360, the number must be divisible by 8 and 45.
1) Check divisibility by 8: The last three digits of 2520 are 520, which is divisible by 8 (520 ÷ 8 = 65).
2) Check divisibility by 45: The number 2520 ends with a zero, and the sum of its digits (2 + 5 + 2 + 0 = 9) is divisible by 9. Therefore, 2520 is divisible by both 9 and 5, making it divisible by 45.
FAQs on Divisibility Rule of 360
1.What is the divisibility rule for 360?
2.How many numbers are there between 1 and 1000 that are divisible by 360?
3.Is 1080 divisible by 360?
4.What if a number is divisible by only two of the conditions?
5.Does the divisibility rule of 360 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 360?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 360 with numbers?
8.What role do numbers and Divisibility Rule of 360 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 360 skills?
Important Glossaries for Divisibility Rule of 360
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Results from multiplying a number by an integer. For example, multiples of 360 include 360, 720, 1080, etc.
- Sum of digits: The result of adding all digits in a number.
- Last digits: Refers to the last few digits used to determine divisibility by certain numbers (e.g., the last three digits for divisibility by 8).
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
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About BrightChamps in Qatar
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.
