BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon150 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 993

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 993.

Divisibility Rule of 993 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 993?


The divisibility rule for 993 is a method by which we can determine if a number is divisible by 993 without using the division method. Check whether 3969 is divisible by 993 with the divisibility rule.

 

Step 1: Break down 993 into its prime factors: 993 = 3 × 3 × 3 × 11.


Step 2: Ensure the number is divisible by each prime factor that makes up 993.


Check divisibility by 3: Add the digits of the number. If the sum is divisible by 3, then the number is divisible by 3.


Check divisibility by 11: Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is 0 or a multiple of 11, then the number is divisible by 11.


Step 3: If the number is divisible by both 9 (3 × 3) and 11, then it is divisible by 993.

 

For 3969:


- Add the digits: 3 + 9 + 6 + 9 = 27 (divisible by 3)
- Check for divisibility by 9: Since 27 is divisible by 9, 3969 is divisible by 9.
- Check for divisibility by 11: (3 + 6) - (9 + 9) = 9 - 18 = -9 (not a multiple of 11)

 

Therefore, 3969 is not divisible by 993.

divisibility rule of 993

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 993

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 993.

 

Know the prime factors:

 

Memorize the factors of 993 (3, 9, and 11) to quickly check divisibility. If a number is divisible by both 9 and 11, it is divisible by 993.

 

Use negative numbers:

 

If the result obtained after subtraction is negative, disregard the sign and consider it positive for checking divisibility.

 

Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a small number that is divisible by 993. For example, check if 11979 is divisible by 993 using the divisibility test.


Add the digits: 1 + 1 + 9 + 7 + 9 = 27 (divisible by 3 and 9)
Check for divisibility by 11: (1 + 9 + 9) - (1 + 7) = 19 - 8 = 11 (a multiple of 11)
Since it satisfies divisibility for both 9 and 11, 11979 is divisible by 993.

 

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 993

The divisibility rule of 993 helps us quickly check if a given number is divisible by 993, but common mistakes like calculation errors lead to incorrect answers. Here we will understand some common mistakes that will help you.
 

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

Follow the correct steps: check divisibility by 3, 9, and 11.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 993 Examples

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

Problem 1

Is 9930 divisible by 993?

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

Yes, 9930 is divisible by 993.  
 

Explanation

 To determine if 9930 is divisible by 993, follow these steps:  


1) Separate the number into two parts: 993 and 0.  


2) Multiply the last digit of the second part by 10, 0 × 10 = 0.  


3) Add the result to the first part (993), 993 + 0 = 993.  


4) Since 993 is equal to 993, 9930 is divisible by 993.
 

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

Problem 2

Check the divisibility rule of 993 for 1986.

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

Yes, 1986 is divisible by 993.  
 

Explanation

To check divisibility for 1986:  


1) Break the number into two parts: 198 and 6.  


2) Multiply the last digit of the second part by 10, 6 × 10 = 60.  


3) Add the result to the first part, 198 + 60 = 258.  


4) 258 is not equal to 993, so 1986 is not divisible by 993.
 

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

Problem 3

Is -2979 divisible by 993?

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

Yes, -2979 is divisible by 993. 

Explanation

To check if -2979 is divisible by 993:  


1) Remove the negative sign to check divisibility.  


2) Separate the number into two parts: 297 and 9.  


3) Multiply the last digit by 10, 9 × 10 = 90.  


4) Add this result to the first part, 297 + 90 = 387.  


5) Since 387 is not equal to 993, -2979 is not divisible by 993.
 

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

Problem 4

Can 14895 be divisible by 993 following the divisibility rule?

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

No, 14895 is not divisible by 993.  

Explanation

To test divisibility using the rule:


1) Break the number into two parts: 1489 and 5.  


2) Multiply the last digit by 10, 5 × 10 = 50.  


3) Add this result to the first part, 1489 + 50 = 1539.

 
4) Since 1539 is not equal to 993, 14895 is not divisible by 993.
 

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

Problem 5

Check the divisibility rule of 993 for 2985.

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

Yes, 2985 is divisible by 993.  
 

Explanation

To check divisibility for 2985:  


1) Divide the number into two parts: 298 and 5.  


2) Multiply the last digit by 10, 5 × 10 = 50.  


3) Add the result to the first part, 298 + 50 = 348.  


4) Since 348 is not equal to 993, 2985 is not divisible by 993.
 

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

FAQs on Divisibility Rule of 993

1. What is the divisibility rule for 993?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 10000 that are divisible by 993?

Math FAQ Answers Dropdown Arrow

3. Is 1986 divisible by 993?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtraction?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 993 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 993?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 993 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 993 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 993 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 993

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Prime factors: The prime numbers that multiply together to give the original number. For 993, these are 3 and 11.

 

  • Multiples: The product obtained by multiplying a number by an integer. For instance, multiples of 993 are 993, 1986, etc.

 

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

 

  • Integer: Whole numbers, including positive, negative numbers, and zero.
     
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 993 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