BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon118 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 816

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 816.

Divisibility Rule of 816 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 816?

The divisibility rule for 816 is a method by which we can find out if a number is divisible by 816 or not without using the division method. Check whether 3264 is divisible by 816 with the divisibility rule.

 

Step 1: Check if the number is divisible by 8, 1, and 6 separately.
 For 8: The last three digits should be divisible by 8. Here, 264 is divisible by 8 because 264 ÷ 8 = 33.
 For 1: Any number is divisible by 1.
 For 6: The number should be divisible by both 2 and 3. Here, 3264 is even (divisible by 2) and the sum of the digits (3 + 2 + 6 + 4 = 15) is divisible by 3.

 

Step 2: Since 3264 satisfies the conditions for 8, 1, and 6, it is divisible by 816.
divisibility rule of 816

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 816

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 816.

 

Know the multiples of 816:

Memorize the multiples of 816 (816, 1632, 2448, ... etc.) to quickly check divisibility. If the conditions for 8, 1, and 6 are satisfied, the number is divisible by 816.

 

Use large numbers:

If dealing with large numbers, break down the rules into checking divisibility by 8, 1, and 6 separately.

 

Repeat the process for large numbers:

Students should keep checking the conditions for divisibility by 8, 1, and 6 until they reach a conclusion.

 

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 816

The divisibility rule of 816 helps us quickly check if a given number is divisible by 816, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not checking each condition separately.
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students should check that the number is divisible by 8, 1, and 6 separately.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 816 Examples

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

Problem 1

Is 3264 divisible by 816?

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

Yes, 3264 is divisible by 816.

Explanation

To determine if 3264 is divisible by 816, we use the divisibility rule for 816.

First, check if the sum of the digits is divisible by 9, as 816 is a multiple of 9.

The sum of the digits, 3 + 2 + 6 + 4 = 15, is not divisible by 9.

But 3264 is a multiple of 816 when divided exactly, as 3264 ÷ 816 = 4.

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

Problem 2

Check the divisibility rule of 816 for 4896.

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

Yes, 4896 is divisible by 816.
 

Explanation

First, check if the sum of the digits is divisible by 9.

The sum of the digits of 4896 is 4 + 8 + 9 + 6 = 27, which is divisible by 9.

Next, see if 4896 is a multiple of 816 by dividing directly.

4896 ÷ 816 = 6.
 

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

Problem 3

Is 2448 divisible by 816?

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

Yes, 2448 is divisible by 816.

Explanation

To check, find the sum of the digits: 2 + 4 + 4 + 8 = 18.

Since 18 is divisible by 9, proceed to check division.

2448 ÷ 816 = 3, confirming divisibility by 816.
 

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

Problem 4

Can 1632 be divisible by 816 following the divisibility rule?

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

Yes, 1632 is divisible by 816.
 

Explanation

Sum the digits of 1632: 1 + 6 + 3 + 2 = 12.

Though 12 is not divisible by 9, we find that 1632 ÷ 816 = 2, confirming it is divisible by 816.
 

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

Problem 5

Check the divisibility rule of 816 for 6528.

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

Yes, 6528 is divisible by 816.
 

Explanation

The sum of the digits of 6528 is 6 + 5 + 2 + 8 = 21, which is not divisible by 9, but directly dividing shows 6528 ÷ 816 = 8, confirming divisibility.
 

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

FAQs on Divisibility Rule of 816

1.What is the divisibility rule for 816?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 10000 that are divisible by 816?

Math FAQ Answers Dropdown Arrow

3.Is 4896 divisible by 816?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after checking each condition?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 816 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 816?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 816 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 816 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 816 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 816

  • 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 816 are 816, 1632, 2448, ...

 

  • Integers: Integers are 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.

 

  • Even Numbers: Even numbers are integers that are divisible by 2 without any remainder.
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 816 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