BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon162 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 104

Professor Greenline Explaining Math Concepts

The divisibility rule is a way to determine 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 104.

Divisibility Rule of 104 for Australian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 104?

The divisibility rule for 104 is a method by which we can find out if a number is divisible by 104 without using the division method. Check whether 2080 is divisible by 104 with the divisibility rule

 

Step 1: Check if the number is divisible by both 8 and 13, as 104 is the product of these two factors (104 = 8 × 13).

 
Step 2: To check divisibility by 8, verify if the last three digits of the number form a number divisible by 8. For example, in 2080, the last three digits are 080, which is divisible by 8.


Step 3: To check divisibility by 13, sum the digits in groups of two from right to left, alternately adding and subtracting, and check if the result is divisible by 13. For 2080, (20 - 80 = -60) is not divisible by 13, so 2080 is not divisible by 104.

divisibility rule of 104

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 104

Learning the divisibility rules for 8 and 13 will help students apply the rule for 104 effectively. Let’s learn a few tips and tricks.

  • Know the multiples of 104: Memorize the multiples of 104 (104, 208, 312, etc.) to quickly check divisibility. If the number matches or is a multiple, it is divisible by 104.
     
  • Use the basic divisibility rules: Remember the specific rules for 8 and 13. If a number is divisible by both, it is divisible by 104.
     
  • Repeat the process for large numbers: If the number is large, break it down into smaller sections to apply the rules of 8 and 13 separately and check the divisibility.
     
  • Use the division method to verify: Students can use the division method to verify and crosscheck their results, reinforcing their understanding of divisibility.
     
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 104

The divisibility rule of 104 helps us quickly check if a number is divisible by 104, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will discuss some common mistakes and solutions.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not checking for both 8 and 13.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Always ensure the number is divisible by both 8 and 13 since 104 is their product.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 104 Examples

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

Problem 1

Is 832 divisible by 104?

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

Yes, 832 is divisible by 104.

Explanation

To check if 832 is divisible by 104, we can directly divide 832 by 104. 


1) 832 ÷ 104 = 8.


2) Since the result is a whole number, 832 is divisible by 104.
 

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

Problem 2

Check if 1248 is divisible by 104.

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

 Yes, 1248 is divisible by 104.

Explanation

To verify the divisibility of 1248 by 104, divide the number by 104. 


1) 1248 ÷ 104 = 12.


2) Since the division gives a whole number, 1248 is divisible by 104.

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

Problem 3

Is 936 divisible by 104?

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

No, 936 is not divisible by 104.

Explanation

To determine if 936 is divisible by 104, we divide 936 by 104.


1) 936 ÷ 104 ≈ 9. 


2) The result is not a whole number, so 936 is not divisible by 104.

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

Problem 4

Can 208 be considered divisible by 104?

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

Yes, 208 is divisible by 104.

Explanation

Check the divisibility by dividing 208 by 104.


1) 208 ÷ 104 = 2.


2) As the result is a whole number, 208 is divisible by 104.

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

Problem 5

Verify if 624 is divisible by 104.

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

Yes, 624 is divisible by 104.

Explanation

To verify the divisibility of 624 by 104, perform the division.


1) 624 ÷ 104 = 6.


2) The division results in a whole number, confirming 624 is divisible by 104.

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

FAQs on Divisibility Rule of 104

1.What is the divisibility rule for 104?

Math FAQ Answers Dropdown Arrow

2.How can I quickly check if a number is divisible by 8?

Math FAQ Answers Dropdown Arrow

3. How can I verify if a number is divisible by 13?

Math FAQ Answers Dropdown Arrow

4.Is 312 divisible by 104?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 104 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 104?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Australia can practice Divisibility Rule of 104 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 104 play in helping children in Australia develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Australia create number-rich environments to improve Divisibility Rule of 104 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 104

  • Divisibility rule: A set of guidelines used to determine if a number is divisible by another without performing division.
     
  • Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 104 are 104, 208, 312, etc.
     
  • Factors: Numbers that multiply together to form another number. For example, 8 and 13 are factors of 104.
     
  • Sum: The result of adding two or more numbers.
     
  • Product: The result of multiplying two or more numbers together.
     
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, we believe numbers are more than just figures—they’re gateways to countless opportunities! Our mission is to help kids throughout Australia strengthen important math skills, focusing today on the Divisibility Rule of 104 with special attention on the Divisibility Rule—explained in a lively, enjoyable, and easy-to-follow way. Whether your child is figuring out the speed of a roller coaster at Luna Park Sydney, tracking scores at local cricket matches, or managing their allowance for the latest gadgets, mastering numbers gives them the confidence they need for daily life. Our interactive lessons make learning simple and fun. Since kids in Australia learn in different ways, we tailor our teaching to match each child’s style. From Sydney’s vibrant streets to the stunning beaches of the Gold Coast, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make the Divisibility Rule a fun part of every child’s math journey!
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