846 LearnersLast updated on May 26th, 2025
Divisibility Rule of 24
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 24.
What is the Divisibility Rule of 24?
The divisibility rule for 24 requires checking if a number is divisible by both 3 and 8. Thus, a number is divisible by 24 if it meets the criteria for these two divisibility rules.
Example: Check whether 312 is divisible by 24 using the divisibility rule.
Step 1: Check divisibility by 3. Sum the digits of the number: 3 + 1 + 2 = 6. Since 6 is divisible by 3, 312 is divisible by 3.
Step 2: Check divisibility by 8. Consider the last three digits of the number, which is 312. Since 312 divided by 8 equals 39 without a remainder, 312 is divisible by 8.
Since 312 is divisible by both 3 and 8, it is divisible by 24.
Tips and Tricks for Divisibility Rule of 24
Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 24.
- Know the multiples of 24: Memorize the multiples of 24 (24, 48, 72, 96, etc.) to quickly check the divisibility. If the result meets both divisibility rules, then the number is divisible by 24.
- Use smaller factors: Break down 24 into smaller factors like 4 and 6. A number divisible by 24 is also divisible by both 4 and 6.
- Repeat the process for large numbers: For larger numbers, verify divisibility by 3 and 8 separately. For example, check if 2496 is divisible by 24. First, check divisibility by 3: 2 + 4 + 9 + 6 = 21, and 21 is divisible by 3. Next, check divisibility by 8: 496 divided by 8 is 62 without a remainder. Thus, 2496 is divisible by 24.
- 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 24
The divisibility rule of 24 helps us quickly check if a given number is divisible by 24, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking both rules.
Students should check divisibility by both 3 and 8, as 24 is composed of these factors.
Divisibility Rule of 24 Examples
Problem 1
Is the number of pages in a 240-page book divisible by 24?
Yes, 240 is divisible by 24.
Explanation
To determine if 240 is divisible by 24, we check divisibility by both 3 and 8.
1) For divisibility by 3, sum the digits: (2 + 4 + 0 = 6). Since 6 is divisible by 3, 240 is divisible by 3.
2) For divisibility by 8, check the last three digits: 240. Since 240 divided by 8 equals 30, 240 is divisible by 8.
Since 240 is divisible by both 3 and 8, it is divisible by 24.
Problem 2
Can a stack of 576 identical tiles be arranged into a perfect square with each side containing 24 tiles?
Yes, 576 is divisible by 24.
Explanation
To check if 576 is divisible by 24, we need to ensure it is divisible by both 3 and 8.
1) For divisibility by 3, sum the digits: \(5 + 7 + 6 = 18\). Since 18 is divisible by 3, 576 is divisible by 3.
2) For divisibility by 8, consider the last three digits: 576. Since 576 divided by 8 equals 72, 576 is divisible by 8.
Since 576 is divisible by both 3 and 8, it is divisible by 24.
Problem 3
Is it possible for a ribbon measuring 192 inches to be cut into 24 equal pieces?
Yes, 192 is divisible by 24.
Explanation
To determine if 192 can be divided evenly by 24, check divisibility by 3 and 8.
1) For divisibility by 3, sum the digits: \(1 + 9 + 2 = 12\). Since 12 is divisible by 3, 192 is divisible by 3.
2) For divisibility by 8, consider the last three digits: 192. Since 192 divided by 8 equals 24, 192 is divisible by 8.
Since 192 is divisible by both 3 and 8, it is divisible by 24.
Problem 4
Is the total number of seats, 288, in a theater divisible by 24?
Yes, 288 is divisible by 24.
Explanation
To check if 288 is divisible by 24, ensure divisibility by both 3 and 8.
1) For divisibility by 3, sum the digits: (2 + 8 + 8 = 18). Since 18 is divisible by 3, 288 is divisible by 3.
2) For divisibility by 8, consider the last three digits: 288. Since 288 divided by 8 equals 36, 288 is divisible by 8.
Since 288 is divisible by both 3 and 8, it is divisible by 24.
Problem 5
Determine if a shipment of 360 apples can be divided into boxes containing exactly 24 apples each.
Yes, 360 is divisible by 24.
Explanation
To determine if 360 can be divided by 24, check divisibility by 3 and 8.
1) For divisibility by 3, sum the digits: (3 + 6 + 0 = 9). Since 9 is divisible by 3, 360 is divisible by 3.
2) For divisibility by 8, consider the last three digits: 360. Since 360 divided by 8 equals 45, 360 is divisible by 8.
Since 360 is divisible by both 3 and 8, it is divisible by 24.
FAQs on Divisibility Rule of 24
1.What is the divisibility rule for 24?
2.How many numbers are there between 1 and 100 that are divisible by 24?
3.Is 72 divisible by 24?
4.What if I get 0 after division by 8?
5.Does the divisibility rule of 24 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 24?
7.What are some fun ways kids in India can practice Divisibility Rule of 24 with numbers?
8.What role do numbers and Divisibility Rule of 24 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 24 skills?
Important Glossaries for Divisibility Rule of 24
- 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 3 if the sum of its digits is divisible by 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 24 are 24, 48, 72, 96, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Sum of Digits: The total obtained by adding all the digits in a number.
- Remainder: The amount left over after division when one number does not divide another exactly.
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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
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