218 LearnersLast updated on May 26th, 2025
Divisibility Rule of 864
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 864.
What is the Divisibility Rule of 864?
The divisibility rule for 864 is a method by which we can determine if a number is divisible by 864 without using the division method. Check whether 6912 is divisible by 864 with the divisibility rule.
Step 1: Check if the number is divisible by 8. For 6912, take the last three digits, 912, and see if it is divisible by 8. Since 912 ÷ 8 = 114, it is divisible by 8.
Step 2: Check if the number is divisible by 9. Add the digits of the number: 6 + 9 + 1 + 2 = 18. Since 18 is divisible by 9, the number is divisible by 9.
Step 3: Since 6912 is divisible by both 8 and 9, it is divisible by 864.
Tips and Tricks for Divisibility Rule of 864
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 864.
Know the multiples of 864:
Memorize the multiples of 864 (864, 1728, 2592, etc.) to quickly check for divisibility.
Use the divisibility rules for 8 and 9:
If a number passes the divisibility test for both 8 and 9, it will be divisible by 864.
Repeat the process for large numbers:
Students should keep repeating the divisibility process using the rules for 8 and 9 if they have a large number to check.
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 864
The divisibility rule of 864 helps us to quickly check if a given number is divisible by 864, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: Check divisibility by 8 and then by 9.
Mistake 2
Incorrectly calculating sum or division.
Double-check calculations, especially when adding digits or dividing by 8.
Mistake 3
Not repeating the process for large numbers.
Students often stop the process when they have a large number. The process should be repeated using the rules for 8 and 9.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them; regular practice can help avoid this error.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 864 Examples
Problem 1
In a factory, a machine produces 864 widgets in one cycle. If the factory runs 5 cycles, is the total number of widgets produced divisible by 864?
Yes, the total number of widgets is divisible by 864.
Explanation
The total number of widgets produced is 864 × 5 = 4320. Since 4320 is a result of multiplying 864 by an integer, it is divisible by 864.
Problem 2
A library has a collection of 1728 books, which it wants to distribute evenly across 2 shelves. Can the books be divided such that each shelf has exactly 864 books?
Yes, the books can be divided evenly.
Explanation
1728 divided by 2 equals 864, which means each shelf will have 864 books, confirming that 1728 is divisible by 864.
Problem 3
A concert is planned, and the organizers have 3456 seats arranged in sections. If each section must have 864 seats, can the sections be evenly arranged?
Yes, the sections can be arranged evenly.
Explanation
3456 divided by 864 equals 4, which shows that the seats can be evenly arranged into 4 sections, each with 864 seats.
Problem 4
A warehouse has a storage capacity of 2592 cubic meters. If each storage unit takes up 864 cubic meters, will the warehouse be fully utilized by the storage units?
Yes, the warehouse will be fully utilized.
Explanation
2592 divided by 864 equals 3, indicating that the warehouse can be fully utilized with 3 storage units, each occupying 864 cubic meters.
Problem 5
A digital billboard displays 3456 ads per day. If each ad takes up 864 display slots, is the total number of ads divisible by 864?
Yes, the total number of ads is divisible by 864.
Explanation
3456 divided by 864 equals 4, meaning the ads are perfectly divisible into sets of 864 display slots.
FAQs on Divisibility Rule of 864
1.What is the divisibility rule for 864?
2.How many numbers are there between 1 and 10,000 that are divisible by 864?
3.Is 3456 divisible by 864?
4.What if I get a remainder when dividing by 8 or 9?
5.Does the divisibility rule of 864 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 864?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 864 with numbers?
8.What role do numbers and Divisibility Rule of 864 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 864 skills?
Important Glossaries for Divisibility Rule of 864
- 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 it ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 864 are 864, 1728, 2592, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Sum of digits: The total when you add all the digits of a number together. For example, the sum of digits of 6912 is 6 + 9 + 1 + 2 = 18.
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