BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon179 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 467

Professor Greenline Explaining Math Concepts

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 467.

Divisibility Rule of 467 for Indian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 467?

The divisibility rule for 467 is a method by which we can find out if a number is divisible by 467 or not without using the division method. Check whether 5604 is divisible by 467 with the divisibility rule.  

Step 1: Break the number into chunks from right to left that are less than 467. Here in 5604, the last chunk is 604.  

Step 2: Multiply the remaining number by 3, i.e., 5 × 3 = 15.  

Step 3: Subtract the multiplied result from the chunk. 604 - 15 = 589.  

Step 4: Since 589 is not a multiple of 467, the number is not divisible by 467. If the result is a multiple of 467, then the number is divisible by 467.

divisibility rule of 467

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 467

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 467.

 

  • Know the multiples of 467: Memorize the multiples of 467 (467, 934, 1401, 1868, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 467, then the number is divisible by 467.

 

  • Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

 

  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 467.  

    For example: Check if 2335 is divisible by 467 using the divisibility test.  

    Break into chunks: 335 and 2.  

    Multiply the remaining number by 3: 2 × 3 = 6.  

    Subtract the result from the chunk: 335 - 6 = 329.  

    Repeat as necessary: 329 is not divisible by 467.

 

  • Use the division method to verify: Students can use the division method to verify and cross-check 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 467

The divisibility rule of 467 helps us quickly check if a given number is divisible by 467, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.

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

Students should follow the correct steps of breaking the number into a chunk and multiplying the remaining number by 3, then subtracting that result from the chunk.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 467 Examples

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

Problem 1

Is 1401 divisible by 467?

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

Yes, 1401 is divisible by 467.

Explanation

To check if 1401 is divisible by 467, follow these steps:

1) Multiply the last two digits, 01, by a specific factor related to 467 (let's assume this factor is 9 for this scenario), 01 × 9 = 9.

2) Subtract the result from the remaining part of the number, 140 - 9 = 131.

3) Check if the result, 131, is divisible by 467. Since 467 is a factor of 1401, we know that 1401 is divisible by 467.

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

Problem 2

Check the divisibility of 2802 by 467.

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

Yes, 2802 is divisible by 467.

Explanation

To verify divisibility:

1) Multiply the last two digits, 02, by the factor 9, 02 × 9 = 18.

2) Subtract the result from the rest of the number, 280 - 18 = 262.

3) Check if 262 is divisible by 467. It’s not directly clear, but the correct procedures confirm 2802 is divisible by 467 through complete division.

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

Problem 3

Is 933 divisible by 467?

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

No, 933 is not divisible by 467.

Explanation

Follow these steps to check:

1) Multiply the last two digits, 33, by 9, 33 × 9 = 297.

2) Subtract the result from the remaining part of the number, 9 - 297 = -288 (we account for negative results).

3) Check if -288 is divisible by 467. Since -288 is not a multiple of 467, 933 is not divisible by 467.
 

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

Problem 4

Can 4670 be divisible by 467 using the rule?

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

Yes, 4670 is divisible by 467.

Explanation

Follow the divisibility rule:

1) Multiply the last two digits, 70, by 9, 70 × 9 = 630.

2) Subtract the result from the rest of the number, 467 - 630 = -163.

3) Check if -163 is divisible by 467. While the direct calculation may not be obvious, the complete division of 4670 by 467 confirms divisibility.

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

Problem 5

Check the divisibility of 9334 by 467.

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

No, 9334 is not divisible by 467.

Explanation

To verify:

1) Multiply the last two digits, 34, by 9, 34 × 9 = 306.

2) Subtract the result from the rest of the number, 933 - 306 = 627.

3) Check if 627 is divisible by 467. Since 627 is not a multiple of 467, 9334 is not divisible by 467.

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

FAQs on Divisibility Rule of 467

1.What is the divisibility rule for 467?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 10,000 that are divisible by 467?

Math FAQ Answers Dropdown Arrow

3.Is 934 divisible by 467?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 467 apply to all the integers?

Math FAQ Answers Dropdown Arrow

6.How can children in India use numbers in everyday life to understand Divisibility Rule of 467?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in India can practice Divisibility Rule of 467 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 467 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 467 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 467

  • Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 467 are 467, 934, 1401, 1868, etc.

 

  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

 

  • Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.

 

  • Chunk: A part or section of a number used in a specific calculation or operation, particularly in divisibility rules.
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 467 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