BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon120 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 83

Professor Greenline Explaining Math Concepts

The divisibility rule is a method 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 items. In this topic, we will learn about the divisibility rule of 83.

Divisibility Rule of 83 for Indian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 83?

The divisibility rule for 83 is a technique to determine if a number is divisible by 83 without using the division method. Let's check whether 415 is divisible by 83 using the divisibility rule.

 

Step 1: Multiply the last digit of the number by 5. In 415, 5 is the last digit, so multiply it by 5. 5 × 5 = 25.

 

Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 41 - 25 = 16.

 

Step 3: Since 16 is not a multiple of 83, 415 is not divisible by 83. If the result from step 2 is a multiple of 83, then the number is divisible by 83.

divisibility rule of 83

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 83

Learning the divisibility rule will help students master division. Let’s explore a few tips and tricks for the divisibility rule of 83.

 

Know the multiples of 83:

Memorize the multiples of 83 (83, 166, 249, 332, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 83, then the number is divisible by 83. If the result we get after 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 repeat the divisibility process until they reach a small number that is divisible by 83.

For example, check if 7476 is divisible by 83 using the divisibility test. Multiply the last digit by 5, i.e., 6 × 5 = 30.

Subtract 30 from the remaining digits, excluding the last digit: 747 - 30 = 717.

Repeat the process: 7 × 5 = 35. Subtract 35 from the remaining numbers: 71 - 35 = 36.

Since 36 is not a multiple of 83, 7476 is not divisible by 83.


 

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 verify and also learn.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 83

The divisibility rule of 83 helps us quickly check if the given number is divisible by 83, 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: multiply the last digit by 5, then subtract the result from the remaining digits excluding the last digit, and check if it is a multiple of 83.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 83 Examples

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

Problem 1

Is 332 divisible by 83?

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

Yes, 332 is divisible by 83.

Explanation

To determine if 332 is divisible by 83, follow the steps:  


1) Divide the number into parts such that one part is close to a multiple of 83. Here, 332 = 249 + 83.  


2) Check if 249 is a multiple of 83. Yes, 249 is a multiple of 83 (83 × 3 = 249).  


3) Since both parts are multiples of 83, 332 is divisible by 83.

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

Problem 2

Check the divisibility rule of 83 for 747.

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

Yes, 747 is divisible by 83.

Explanation

To verify the divisibility of 747 by 83:  


1) Separate the number into a sum of two numbers, 747 = 664 + 83.

 
2) Check if 664 is a multiple of 83. Yes, 664 is a multiple of 83 (83 × 8 = 664).  


3) Since both 664 and 83 are multiples of 83, 747 is divisible by 83.

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

Problem 3

Is 497 divisible by 83?

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

No, 497 is not divisible by 83.

Explanation

To check if 497 is divisible by 83, follow these steps:  


1) Break down 497 into two parts, 415 + 82.  


2) Check if 415 is a multiple of 83. No, 415 is not a multiple of 83.  


3) Since 415 is not a multiple of 83, 497 is not divisible by 83.

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

Problem 4

Can 166 be divisible by 83 following the divisibility rule?

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

Yes, 166 is divisible by 83.

Explanation

To verify the divisibility of 166 by 83:  


1) Split the number into 83 + 83.  


2) Each part is a multiple of 83 (83 × 1 = 83).  


3) Therefore, 166 is divisible by 83.

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

Problem 5

Check the divisibility rule of 83 for 1245.

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

No, 1245 is not divisible by 83.

Explanation

To check 1245 for divisibility by 83, we proceed as follows:  


1) Break down 1245 into parts, such as 1162 + 83.  


2) Verify if 1162 is a multiple of 83. No, 1162 is not a multiple of 83.  


3) Since 1162 is not a multiple of 83, 1245 is not divisible by 83.

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

FAQs on Divisibility Rule of 83

1.What is the divisibility rule for 83?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 500 that are divisible by 83?

Math FAQ Answers Dropdown Arrow

3.Is 249 divisible by 83?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 83 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in India use numbers in everyday life to understand Divisibility Rule of 83?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in India can practice Divisibility Rule of 83 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 83 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 83 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 83

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.

 

  • Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 83 are 83, 166, 249, 332, etc.

 

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

 

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

 

  • Verification: The process of confirming the accuracy of a calculation or result, often by using an alternative method.
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 83 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