BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 501

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 501.

Divisibility Rule of 501 for Singaporean Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 501?

The divisibility rule for 501 is a method by which we can find out if a number is divisible by 501 or not without using the division method. Check whether 1503 is divisible by 501 with the divisibility rule.

Step 1: Check if the number is divisible by 3. Add the digits of the number: 1 + 5 + 0 + 3 = 9. Since 9 is divisible by 3, 1503 passes the first test.

Step 2: Check if the number is divisible by 167. Divide the number by 167: 1503 ÷ 167 = 9. Since 9 is an integer, 1503 is also divisible by 167.

Step 3: Since 1503 is divisible by both 3 and 167, it is divisible by 501 (501 = 3 × 167).

divisibility rule of 501
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 501

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 501.

Know the multiples of 501: Memorize the multiples of 501 (501, 1002, 1503, 2004…etc.) to quickly check the divisibility. If the result from the division is an integer, then the number is divisible by 501.

Use the division method: Students can use the division method as a way 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 501

The divisibility rule of 501 helps us to quickly check if the given number is divisible by 501, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to 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 that are checking divisibility by 3 and then by 167.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 501 Examples

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

Problem 1

Is 1002 divisible by 501?

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

 Yes, 1002 is divisible by 501.
 

Explanation

To check if 1002 is divisible by 501, follow the steps:

1) Divide the number by 501, \(1002 ÷ 501 = 2\).

2) Since the result is a whole number, 1002 is divisible by 501.
 

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

Problem 2

Check the divisibility rule of 501 for 1503.

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

Yes, 1503 is divisible by 501.

Explanation

To verify divisibility by 501 for 1503:

1) Divide the number by 501, \(1503 ÷ 501 = 3\).

2) The result is a whole number, which confirms that 1503 is divisible by 501.

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

Problem 3

Is 2505 divisible by 501?

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

Yes, 2505 is divisible by 501.

Explanation

To check divisibility of 2505 by 501:

1) Divide the number by 501, \(2505 ÷ 501 = 5\).

2) The result is a whole number, indicating that 2505 is divisible by 501.
 

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

Problem 4

Can 3502 be divisible by 501 following the divisibility rule?

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

No, 3502 isn't divisible by 501.

Explanation

To verify if 3502 is divisible by 501:

1) Divide the number by 501, \(3502 ÷ 501 = 6.987\).

2) The result is not a whole number, so 3502 is not divisible by 501.

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

Problem 5

Check the divisibility rule of 501 for 5010.

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

Yes, 5010 is divisible by 501.
 

Explanation

To confirm divisibility of 5010 by 501:

1) Divide the number by 501, \(5010 ÷ 501 = 10\).

2) Since the result is a whole number, 5010 is divisible by 501.
 

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

FAQs on Divisibility Rule of 501

1. What is the divisibility rule for 501?

Math FAQ Answers Dropdown Arrow

2. How many numbers are there between 1 and 2000 that are divisible by 501?

Math FAQ Answers Dropdown Arrow

3.Is 1002 divisible by 501?

Math FAQ Answers Dropdown Arrow

4. Does the divisibility rule of 501 apply to all integers?

Math FAQ Answers Dropdown Arrow

5.

Math FAQ Answers Dropdown Arrow

6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 501?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Singapore can practice Divisibility Rule of 501 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 501 play in helping children in Singapore develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 501 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 501

  • Divisibility rule: The 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 501 are 501, 1002, 1503, etc.

 

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

 

  • Division: Division is the process of determining how many times one number is contained within another.

 

  • Factors: Factors are numbers that can be multiplied together to get another number. For example, 3 and 167 are factors of 501.
     
Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, we understand that numbers are more than just digits—they unlock countless possibilities! Our goal is to help children all across Singapore develop strong math skills, focusing today on the Divisibility Rule of 501 and highlighting the Divisibility Rule—in a way that’s fun, engaging, and easy to learn. Whether your child is measuring the speed of a roller coaster at Universal Studios Singapore, following scores at local football matches, or managing their allowance to buy the latest gadgets, mastering numbers gives them confidence for everyday challenges. Our interactive lessons make learning enjoyable and clear. Since kids in Singapore learn in unique ways, we tailor our approach to each learner’s style. From Singapore’s bustling city streets to its scenic gardens, BrightChamps brings math to life, making it exciting across Singapore. Let’s make the Divisibility Rule a fun part of every child’s math journey!
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