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 363

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 363.

Divisibility Rule of 363 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 363?

The divisibility rule for 363 is a method by which we can find out if a number is divisible by 363 or not without using the division method. Check whether 2178 is divisible by 363 using the divisibility rule.
 

Step 1: Multiply the last digit of the number by 2, here in 2178, 8 is the last digit, multiply it by 2. 8 × 2 = 16.
 

Step 2: Subtract the result from Step 1 from the remaining digits but do not include the last digit. i.e., 217–16 = 201.
 

Step 3: As it is shown that 201 is not a multiple of 363, therefore, the number is not divisible by 363. If the result from Step 2 is a multiple of 363, then the number is divisible by 363.divisibility rule of 363
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 363

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 363.

  • Know the multiples of 363: Memorize the multiples of 363 to quickly check divisibility. If the result from the subtraction is a multiple of 363, then the number is divisible by 363.
     
  • Use 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 363.

    For example, check if 4368 is divisible by 363 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16.

    Subtract the remaining digits excluding the last digit by 16, 436–16 = 420. Still, 420 is a large number, hence we will repeat the process again and multiply the last digit by 2, 0 × 2 = 0.

    Now subtracting 0 from the remaining numbers excluding the last digit, 42–0 = 42. As 42 is not a multiple of 363, 4368 is not divisible by 363.
     
  • 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 363

The divisibility rule of 363 helps us quickly check if the given number is divisible by 363, but common mistakes like calculation errors lead to incorrect conclusions. 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

Students should follow the correct steps: multiplying the last digit by 2 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 363.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 363 Examples

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

Problem 1

Is 726 divisible by 363?

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

Yes, 726 is divisible by 363.
 

Explanation

To check if 726 is divisible by 363, we can use the rule:

1) Divide 726 by 363, 726 ÷ 363 = 2.

2) Since the result is a whole number with no remainder, 726 is divisible by 363.
 

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

Problem 2

Check the divisibility rule of 363 for 1452.

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

Yes, 1452 is divisible by 363.

 

Explanation

To determine if 1452 is divisible by 363:

1) Divide 1452 by 363, 1452 ÷ 363 = 4.

2) As the division results in a whole number, 1452 is divisible by 363.
 

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

Problem 3

Is 1089 divisible by 363?

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

Yes, 1089 is divisible by 363.
 

Explanation

For checking if 1089 is divisible by 363:

1) Divide 1089 by 363, 1089 ÷ 363 = 3.

2) Since the quotient is a whole number, 1089 is divisible by 363.
 

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

Problem 4

Can 500 be divisible by 363 following the divisibility rule?

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

No, 500 is not divisible by 363.

Explanation

To verify if 500 is divisible by 363:

1) Divide 500 by 363, 500 ÷ 363 = 1.377...

2) Since the result is not a whole number, 500 is not divisible by 363.
 

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

Problem 5

Check the divisibility rule of 363 for 2178.

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

Yes, 2178 is divisible by 363.

Explanation

To check if 2178 is divisible by 363:

1) Divide 2178 by 363, 2178 ÷ 363 = 6.

2) As the result is a whole number without a remainder, 2178 is divisible by 363.
 

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

FAQs on Divisibility Rule of 363

1.What is the divisibility rule for 363?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 1000 that are divisible by 363?

Math FAQ Answers Dropdown Arrow

3.Is 726 divisible by 363?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 363 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 363?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 363 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 363 play in helping children in United States develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United States create number-rich environments to improve Divisibility Rule of 363 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 363

  • 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 363 are 363, 726, 1089, etc.
     
  • Integers: Integers are numbers that include all 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 accuracy of a result, often by using an alternate method such as division.
     
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they’re keys unlocking endless possibilities! Our goal is to help children across the United States build strong math skills, focusing today on the Divisibility Rule of 363 and especially on understanding the Divisibility Rule—delivered in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during Little League games, or managing their allowance for the newest gadgets, knowing numbers boosts their confidence for real-life situations. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in diverse ways, we customize our approach to match each learner’s style. From the lively streets of New York City to the sunny beaches of California, BrightChamps makes math relatable and exciting across America. Let’s make the Divisibility Rule an enjoyable part of every child’s math adventure!
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