BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon153 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 287

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 287.

Divisibility Rule of 287 for Saudi Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 287?

The divisibility rule for 287 is a method by which we can determine if a number is divisible by 287 without using the division method. Check whether 5740 is divisible by 287 with the divisibility rule.

 

Step 1: Multiply the last digit of the number by a specific factor. For 287, the factor is 2. Here, in 5740, 0 is the last digit, multiply it by 2. 0 × 2 = 0.

 

Step 2: Subtract the result from Step 1 from the remaining digits excluding the last digit. i.e., 574 – 0 = 574.

 

Step 3: As it is shown that 574 is still a large number, we repeat the process. Multiply the last digit of 574 by 2, which gives 4 × 2 = 8. Subtract this from the remaining digits, 57 – 8 = 49.

 

Step 4: Since 49 is not divisible by 287, 5740 is not divisible by 287.

divisibility rule of 287
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 287

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 287.

 

Know the multiples of 287:

 

Memorize the multiples of 287 (287, 574, 861, etc.) to quickly check the divisibility. If the result from subtraction is a multiple of 287, then the number is divisible by 287.

 

Use the negative numbers:

 

If the result we get after subtraction is negative, 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. For example: Check if 8610 is divisible by 287 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 861 – 0 = 861. Since 861 is a known multiple of 287, 8610 is divisible by 287.

 

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 to verify and also learn.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 287

The divisibility rule of 287 helps us to quickly check if a given number is divisible by 287, 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 of multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 287.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 287 Examples

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

Problem 1

Is 8610 divisible by 287?

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

Yes, 8610 is divisible by 287.

Explanation

To check if 8610 is divisible by 287, follow these steps:


1) Take the last three digits of the number, which is 610.


2) Subtract this value from the number formed by the remaining digits, 8 - 610 = -602.


3) If -602 is divisible by 287, then 8610 is divisible by 287. Since -602 = -287 × 2 + 28, the result is not divisible by 287.

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

Problem 2

Check the divisibility rule of 287 for 5740.

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

No, 5740 is not divisible by 287.

Explanation

Follow the steps to check if 5740 is divisible by 287:


1) Take the last three digits, which is 740.


2) Subtract this from the number formed by the remaining digit, 5 - 740 = -735.


3) Since -735 is not a multiple of 287, 5740 is not divisible by 287.
 

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

Problem 3

Is 861 divisible by 287?

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

Yes, 861 is divisible by 287.

Explanation

To determine if 861 is divisible by 287:


1) Take the last three digits, which is 861 in this case.


2) Since there are no other digits, there's no need to subtract.


3) 861 is 287 multiplied by 3 (287 x 3 = 861), so it is divisible by 287.

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

Problem 4

Can 1722 be divisible by 287 following the divisibility rule?

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

No, 1722 isn't divisible by 287.

Explanation

To check the divisibility of 1722 by 287:


1) Take the last three digits, which is 722.


2) Subtract this from the number formed by the remaining digit, 1 - 722 = -721.


3) Since -721 is not a multiple of 287, 1722 is not divisible by 287.

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

Problem 5

Check the divisibility rule of 287 for 574.

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

No, 574 is not divisible by 287.

Explanation

To check if 574 is divisible by 287:


1) Take the last three digits, which is 574 in this case.


2) Since there are no other digits, there's no need to subtract.


3) 574 divided by 287 equals 2 with a remainder, so it is not divisible by 287.

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

FAQs on Divisibility Rule of 287

1.What is the divisibility rule for 287?

Math FAQ Answers Dropdown Arrow

2. How many numbers are there between 1 and 1000 that are divisible by 287?

Math FAQ Answers Dropdown Arrow

3. Is 861 divisible by 287?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 287 apply to all the integers?

Math FAQ Answers Dropdown Arrow

6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 287?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 287 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 287 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 287 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 287

  • 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 2 if the number ends with an even number.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 287 are 287, 574, 861, etc.
     
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
     
  • Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
     
  • Verification: The process of confirming the correctness of a result using an alternative method, such as division, to ensure the accuracy of the divisibility test.
     
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 287, 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