BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon159 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 69

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 69.

Divisibility Rule of 69 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 69?

The divisibility rule for 69 is a method by which we can find out if a number is divisible by 69 or not without using the division method. Check whether 4140 is divisible by 69 with the divisibility rule.  

 

Step 1: Check if the number is divisible by both 3 and 23, as 69 is the product of these two prime numbers.


Step 2: For divisibility by 3, add the digits of the number and check if the sum is divisible by 3. For 4140, 4+1+4+0=9, which is divisible by 3.


Step 3: For divisibility by 23, use the division method or another rule specific to 23, as there is no simple rule for it.


Step 4: Since 4140 is divisible by both 3 and 23, it is divisible by 69.

divisibility rule of 69

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 69

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 69.

 

  • Know the factors: Memorize the factors of 69, which are 3 and 23, to quickly check divisibility. If a number is divisible by both 3 and 23, then it is divisible by 69.

 

  • Use addition for 3: For divisibility by 3, add all the digits of the number and check if the result is divisible by 3.

 

  • Repeat the process for large numbers: Students should keep repeating the divisibility process for both 3 and 23 until they reach a conclusion about divisibility by 69.

 

  • 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 learn.


 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 69

The divisibility rule of 69 helps us quickly check if a given number is divisible by 69, 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 checking divisibility for both factors.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Ensure you check divisibility by both 3 and 23, as 69 is the product of these two numbers.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 69 Examples

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

Problem 1

Can 345 be divisible by 69?

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

No, 345 is not divisible by 69.

Explanation

To check if 345 is divisible by 69, we'll use a unique approach:  


1) Double the last digit and add it to the rest of the number: 5 × 2 = 10, 34 + 10 = 44.  


2) Check if 44 is divisible by 69. No, 44 is not divisible by 69.

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

Problem 2

Is 828 divisible by 69?

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

Yes, 828 is divisible by 69.

Explanation

To check if 828 is divisible by 69, follow these steps:  


1) Double the last digit and add it to the rest of the number: 8 × 2 = 16, 82 + 16 = 98.  


2) Check if 98 is a multiple of 69. No, it's not. However, 828 is divisible by 69 (69 × 12 = 828), confirming the divisibility.

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

Problem 3

Check the divisibility rule of 69 for 1380.

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

Yes, -207 is divisible by 69.

Explanation

To check if -207 is divisible by 69, disregard the negative sign and proceed:  


1) Double the last digit and add it to the rest of the number: 7 × 2 = 14, 20 + 14 = 34.  


2) Check if 34 is a multiple of 69. No, but -207 is divisible by 69 (-69 × 3 = -207), hence confirming the divisibility.

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

Problem 4

Is -207 divisible by 69?

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

Yes, -207 is divisible by 69.

Explanation

To check if -207 is divisible by 69, disregard the negative sign and proceed:  


1) Double the last digit and add it to the rest of the number: 7 × 2 = 14, 20 + 14 = 34.  


2) Check if 34 is a multiple of 69. No, but -207 is divisible by 69 (-69 × 3 = -207), hence confirming the divisibility.

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

Problem 5

Verify if 276 is divisible by 69.

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

Yes, 276 is divisible by 69.

Explanation

To check if 276 is divisible by 69:  


1) Double the last digit and add it to the rest of the number: 6 × 2 = 12, 27 + 12 = 39.  


2) Check if 39 is a multiple of 69. No, but 276 is divisible by 69 (69 × 4 = 276), confirming the divisibility.

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

FAQs on Divisibility Rule of 69

1.What is the divisibility rule for 69?

Math FAQ Answers Dropdown Arrow

2. How many numbers are there between 1 and 100 that are divisible by 69?

Math FAQ Answers Dropdown Arrow

3. Is 138 divisible by 69?

Math FAQ Answers Dropdown Arrow

4. What if I get 0 after checking divisibility by a factor?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 69 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 69?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 69 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 69 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 69 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 69

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

 

  • Factors: Numbers that can multiply together to get another number. For example, the factors of 69 are 3 and 23.

 

  • Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 69 are 69, 138, 207, etc.

 

  • Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 3 and 23 are prime numbers.

 

  • Division Method: A mathematical procedure used to determine how many times one number is contained within another.
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 69 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