BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon130 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 509

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 509.

Divisibility Rule of 509 for Saudi Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 509?


The divisibility rule for 509 is a method by which we can find out if a number is divisible by 509 or not without using the division method. Check whether 1018 is divisible by 509 with the divisibility rule.

Step 1: Since 509 is a relatively large number, the simplest method is to directly check divisibility by performing the division or by recognizing if the number is a multiple of 509 through memorization or calculation.

Step 2: If you know the multiples of 509, check if 1018 matches any of those multiples. In this case, 1018 is 509 × 2.

Step 3: As 1018 is a multiple of 509, therefore, the number is divisible by 509.

divisibility rule of 509
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 509

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 509.

Know the multiples of 509: Memorize the multiples of 509 (509, 1018, 1527, 2036…etc.) to quickly check the divisibility. If the number matches a multiple of 509, then it is divisible by 509.

Use the division method to verify: 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 509

The divisibility rule of 509 helps us quickly check if the given number is divisible by 509, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you 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 that you verify divisibility by either recognizing a multiple or performing division.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 509 Examples

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

Problem 1

Is 1018 divisible by 509?

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

Yes, 1018 is divisible by 509.

Explanation

To verify if 1018 is divisible by 509, consider the following steps:

1) Double the last digit of the number: 8 × 2 = 16.
 
2) Subtract the result from the remaining digits, excluding the last digit: 101 - 16 = 85. 

3) Check if the result is a multiple of 509. No, 85 is not a multiple of 509, but we miscalculated the subtraction. Let's verify directly instead: 1018 ÷ 509 = 2, which means 1018 is divisible by 509.

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

Problem 2

Check the divisibility rule of 509 for 2545.

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

No, 2545 is not divisible by 509. 

Explanation

To check if 2545 is divisible by 509, use these steps:
 
1) Double the last digit of the number: 5 × 2 = 10.

2) Subtract the result from the remaining digits, excluding the last digit: 254 - 10 = 244.  

3) Check if 244 is a multiple of 509. No, 244 is not a multiple of 509, hence 2545 is not divisible by 509.
 

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

Problem 3

Is -1527 divisible by 509?

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

Yes, -1527 is divisible by 509. 

Explanation

To determine if -1527 is divisible by 509, follow these steps (ignoring the negative sign):  
1) Double the last digit of the number: 7 x 2 = 14.  
2) Subtract the result from the remaining digits, excluding the last digit: 152 - 14 = 138.  
3) Check if 138 is a multiple of 509. No, but direct division shows 1527÷ 509 = 3, which confirms divisibility.

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

Problem 4

Can 3054 be divisible by 509 following the divisibility rule?

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

Yes, 3054 is divisible by 509. 

Explanation

To verify if 3054 is divisible by 509, follow these steps:  

1) Double the last digit of the number: 4 × 2 = 8.  

2) Subtract the result from the remaining digits, excluding the last digit: 305 - 8 = 297.  

3) Check if 297 is a multiple of 509. No, but direct division 3054÷509 = 6 confirms divisibility.

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

Problem 5

Check the divisibility rule of 509 for 4072.

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

 No, 4072 is not divisible by 509.  
 

Explanation

To check the divisibility of 4072 by 509, follow these steps:  

1) Double the last digit of the number: 2 x 2 = 4.
 
2) Subtract the result from the remaining digits, excluding the last digit: 407 - 4 = 403.  

3) Check if 403 is a multiple of 509. No, 403 is not a multiple of 509, hence 4072 is not divisible by 509.

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

FAQs on Divisibility Rule of 509

1.What is the divisibility rule for 509?

Math FAQ Answers Dropdown Arrow

2. How many numbers are there between 1 and 2000 that are divisible by 509?

Math FAQ Answers Dropdown Arrow

3.Is 1527 divisible by 509?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after performing division?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 509 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 509?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 509 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 509 play in helping children in Saudi Arabia develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 509 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 509

  • Divisibility rule: The set of guidelines used to determine if a number is divisible by another number.

 

  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 509 are 509, 1018, 1527, etc.

 

  • Integer: A whole number that can be positive, negative, or zero.

 

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

 

  • Verification: The process of checking calculations to ensure correctness.
     
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, we know numbers are more than just digits—they unlock countless opportunities! We aim to help children throughout Saudi Arabia master vital math skills, including today’s Divisibility Rule of 509, with special focus on the Divisibility Rule—taught in a lively, enjoyable, and easy-to-grasp way. Whether your child is measuring the speed of a roller coaster at Riyadh’s Al Hokair Land, tracking scores at local football matches, or managing their allowance for the latest gadgets, knowing numbers builds their confidence for real-life challenges. Our lessons are interactive and fun. Since kids in Saudi Arabia learn differently, we tailor our approach to each child’s style. From Riyadh’s bustling streets to Jeddah’s historic sites, BrightChamps brings math to life, making it relevant and exciting across Saudi Arabia. Let’s make the Divisibility Rule an enjoyable 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