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Last updated on February 18th, 2025

Divisibility Rule of 864

Q: What is the divisibility rule for 864?

A number is divisible by 864 if it is divisible by both 8 and 9.

Q: How many numbers are there between 1 and 10,000 that are divisible by 864?

To find this, divide 10,000 by 864, which gives approximately 11 numbers.

Q: Is 3456 divisible by 864?

Yes, because 3456 is divisible by both 8 and 9.

Q: What if I get a remainder when dividing by 8 or 9?

If you get a remainder, the number is not divisible by 864.

Q: Does the divisibility rule of 864 apply to all integers?

Yes, the divisibility rule of 864 applies to all integers.

Professor Greenline Explaining Math Concepts

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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. $divisibility rule of 864$

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

Divisibility Rule of 864 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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?

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.