Divisibility Rule of 264
2026-02-28 09:59 Diff
https://brightchamps.com/en-us/math/numbers/divisibility-rule-of-264

307 Learners

Last updated on August 5, 2025

The divisibility rule is a way to determine whether a number is divisible by another number without performing the division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 264.

What is the Divisibility Rule of 264?

The divisibility rule for 264 is a method by which we can find out if a number is divisible by 264 without using the division method. Check whether 15840 is divisible by 264 with the divisibility rule.

Step 1: Check if the number is divisible by 8. For 15840, the last three digits are 840, which is divisible by 8 (840 ÷ 8 = 105).

Step 2: Check if the number is divisible by 3. Add the digits: 1 + 5 + 8 + 4 + 0 = 18. Since 18 is divisible by 3, 15840 is divisible by 3.

Step 3: Check if the number is divisible by 11. Alternately subtract and add the digits: 1 - 5 + 8 - 4 + 0 = 0. Since 0 is divisible by 11, 15840 is divisible by 11.

As the number 15840 is divisible by 8, 3, and 11, it is divisible by 264.

Tips and Tricks for Divisibility Rule of 264

Understanding divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 264.

Know the divisibility rules for 8, 3, and 11:

Memorize the rules for these numbers to quickly check divisibility by 264. If a number satisfies all three rules, it is divisible by 264.

Use smaller components:

Breaking down the divisibility check into smaller parts (8, 3, and 11) makes it easier to handle larger numbers.

Repeat the process for large numbers:

For very large numbers, break them down and check each part for divisibility by 8, 3, and 11 separately.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 264

The divisibility rule of 264 helps us quickly check if a given number is divisible by 264, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.

Explore Our Programs

Download Worksheets

Problem 1

Is 528 divisible by 264?

Okay, lets begin

Yes, 528 is divisible by 264.
 

Explanation

To check if 528 is divisible by 264:


1) Divide 528 by 264, which results in 2.


2) Since the division results in a whole number, 528 is divisible by 264.

Well explained 👍

Problem 2

Check the divisibility rule of 264 for 792.

Okay, lets begin

Yes, 792 is divisible by 264.

Explanation

For checking the divisibility of 792 by 264:


1) Divide 792 by 264, which results in 3.


2) The division results in a whole number, indicating that 792 is divisible by 264.
 

Well explained 👍

Problem 3

Is 1320 divisible by 264?

Okay, lets begin

Yes, 1320 is divisible by 264.

Explanation

To check if 1320 is divisible by 264:


1) Divide 1320 by 264, which results in 5.


2) Since the result is a whole number, 1320 is divisible by 264.
 

Well explained 👍

Problem 4

Can 1000 be divisible by 264 following the divisibility rule?

Okay, lets begin

No, 1000 isn't divisible by 264.
 

Explanation

To check if 1000 is divisible by 264:


1) Divide 1000 by 264, which results in approximately 3.7879.


2) The result is not a whole number, so 1000 is not divisible by 264.
 

Well explained 👍

Problem 5

Check the divisibility rule of 264 for 1584.

Okay, lets begin

Yes, 1584 is divisible by 264.
 

Explanation

To check the divisibility of 1584 by 264:


1) Divide 1584 by 264, which results in 6.


2) This results in a whole number, indicating that 1584 is divisible by 264.
 

Well explained 👍

FAQs on Divisibility Rule of 264

1.What is the divisibility rule for 264?

A number is divisible by 264 if it is divisible by 8, 3, and 11.
 

2.How many numbers between 1 and 1000 are divisible by 264?

There are 3 numbers divisible by 264 between 1 and 1000. The numbers are 264, 528, and 792.

3.Is 528 divisible by 264?

Yes, because 528 is divisible by 8, 3, and 11.
 

4.What if I get 0 after subtraction for divisibility by 11?

If you get 0 after subtraction, it means the number is divisible by 11.
 

5.Does the divisibility rule of 264 apply to all integers?

Yes, the divisibility rule of 264 applies to all integers.
 

Important Glossaries for Divisibility Rule of 264

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another. For example, a number is divisible by 8 if its last three digits form a number divisible by 8.
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 264 are 264, 528, 792, etc.
  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
  • Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
  • Division: Division is the process of determining how many times one number is contained within another.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.