BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon166 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 144

Professor Greenline Explaining Math Concepts

The divisibility rule is a way to determine whether a number is divisible by another number without performing division. 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 144.

Divisibility Rule of 144 for Indian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 144?

The divisibility rule for 144 is a method by which we can find out if a number is divisible by 144 without using the division method. Check whether 5184 is divisible by 144 using the divisibility rule.
 

Step 1: Check if the number is divisible by 12 (since 12 is a factor of 144). A number is divisible by 12 if it is divisible by both 3 and 4.

For divisibility by 3, add the digits of the number: 5 + 1 + 8 + 4 = 18. Since 18 is divisible by 3, 5184 is divisible by 3.

For divisibility by 4, check if the last two digits form a number divisible by 4: 84 is divisible by 4.
 

Step 2: Check if the number is divisible by 12 again to ensure it's divisible by 144. Since 5184 is divisible by 12, continue testing.
 

Step 3: Finally, check divisibility by 12 again. Since it passes, 5184 is divisible by 144.divisibility rule of 144
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 144

Understanding the divisibility rule will help mastery of division. Let’s learn a few tips and tricks for the divisibility rule of 144.

 

  • Know the multiples of 144: Memorize the multiples of 144 (144, 288, 432, 576, etc.) to quickly check divisibility. If a number is a multiple of 144, it is divisible by 144.
     
  • Break down to factors: Since 144 = 12 × 12, check divisibility by 12 twice to confirm divisibility by 144.
     
  • Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.
     
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 144

The divisibility rule of 144 helps us to quickly check if a given number is divisible by 144, 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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not following the correct steps.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Ensure to check divisibility by 12 twice, confirming all steps are followed correctly.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 144 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Is 1728 divisible by 144?

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

Yes, 1728 is divisible by 144.

Explanation

To check the divisibility of 1728 by 144, we need to ensure it's divisible by both 12 and 12 (since \(144 = 12 \times 12\)).

1) Check divisibility by 12: The sum of the digits (1 + 7 + 2 + 8) = 18, which is divisible by 3. The last two digits, 28, are not divisible by 4 directly, so we check \(28 \div 4 = 7\). Thus, 1728 is divisible by 12.

2) The number 1728 is also divisible by 12 again, confirming that it is divisible by 144.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Check the divisibility rule of 144 for 2592.

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

Yes, 2592 is divisible by 144.
 

Explanation

To verify divisibility by 144, we check for divisibility by 12 twice.

1) Check divisibility by 12: The sum of the digits (2 + 5 + 9 + 2) = 18, which is divisible by 3. The last two digits, 92, are divisible by 4 (\(92 \div 4 = 23\)). Therefore, 2592 is divisible by 12.

2) Again, 2592 passes the divisibility check for 12, confirming divisibility by 144.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Is 3456 divisible by 144?

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

No, 3456 is not divisible by 144.

Explanation

We need to check the divisibility by 12 twice.

1) Check divisibility by 12: The sum of the digits (3 + 4 + 5 + 6) = 18, which is divisible by 3. The last two digits, 56, are divisible by 4 (\(56 \div 4 = 14\)), so 3456 is divisible by 12.

2) Now, check again for divisibility by 12, but the sum of digits (18) and the last two digits (56) do not repeat this pattern consistently, indicating 3456 is not divisible by 144.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Can 1296 be divisible by 144 following the divisibility rule?

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

Yes, 1296 is divisible by 144.

Explanation

To determine if 1296 is divisible by 144, check divisibility by 12 twice.

1) Check divisibility by 12: The sum of the digits (1 + 2 + 9 + 6) = 18, which is divisible by 3. The last two digits, 96, are divisible by 4 (\(96 \div 4 = 24\)). Therefore, 1296 is divisible by 12.

2) 1296 meets the divisibility requirements of 12 again, confirming that it is divisible by 144.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Check the divisibility rule of 144 for 3888.

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

No, 3888 is not divisible by 144.

Explanation

To check the divisibility by 144, ensure divisibility by 12 twice.

1) Check divisibility by 12: The sum of the digits (3 + 8 + 8 + 8) = 27, which is divisible by 3. The last two digits, 88, are divisible by 4 (\(88 \div 4 = 22\)). Thus, 3888 is divisible by 12.

2) However, a second check for divisibility by 12 does not hold, as the pattern for 12 does not repeat consistently on the next check, indicating 3888 is not divisible by 144.
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Divisibility Rule of 144

1.What is the divisibility rule for 144?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 1000 that are divisible by 144?

Math FAQ Answers Dropdown Arrow

3.Is 576 divisible by 144?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtraction during verification?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 144 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in India use numbers in everyday life to understand Divisibility Rule of 144?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in India can practice Divisibility Rule of 144 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 144 play in helping children in India develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in India create number-rich environments to improve Divisibility Rule of 144 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 144

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number without actual division.
     
  • Factors: Numbers that are multiplied together to obtain another number. For example, 12 and 12 are factors of 144.
     
  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 144 are 144, 288, 432, etc.
     
  • Addition: The process of combining numbers to get a sum, often used in checking divisibility by 3.
     
  • Verification: The process of confirming the result, often by performing the original division to ensure accuracy.
     
Professor Greenline from BrightChamps

About BrightChamps in India

At BrightChamps, we see numbers as more than just figures—they are a gateway to endless possibilities! Our mission is to support children all over India in building strong math skills, with today’s focus on the Divisibility Rule of 144 and special attention to understanding the Divisibility Rule—in a way that’s engaging, enjoyable, and easy to follow. Whether your child is calculating the speed of a train, keeping score during a Cricket match, or managing their pocket money to buy the latest gadgets, knowing numbers gives them confidence for daily life. Our interactive lessons keep learning simple and fun. As children in India have varied learning styles, we personalize our teaching to suit each child. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps makes math relatable and exciting throughout India. Let’s make the Divisibility Rule a joyful part of every child’s math experience!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom