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 46

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 46.

Divisibility Rule of 46 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 46?

The divisibility rule for 46 is a method by which we can find out if a number is divisible by 46 or not without using the division method. Check whether 1840 is divisible by 46 with the divisibility rule.  
 

Step 1: Check if the number is divisible by both 2 and 23 (since 46 = 2 × 23).
 

Step 2: For divisibility by 2, the number must be even. Since 1840 ends in 0, it is divisible by 2.
 

Step 3: For divisibility by 23, take the alternating sum of digits. Here, 1 - 8 + 4 - 0 = -3. Since -3 is not a multiple of 23, 1840 is not divisible by 23.
 

Step 4: Since 1840 is not divisible by 23, it is not divisible by 46.divisibility rule of 46
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 46

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 46.
 

  • Know the multiples of 46: Memorize the multiples of 46 (46, 92, 138, 184, 230, etc.) to quickly check divisibility.
     
  • Check divisibility by 2 and 23 separately: For 46, verify divisibility by both 2 and 23. If both conditions are satisfied, the number is divisible by 46.
     
  • 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 46

The divisibility rule of 46 helps us to quickly check if the given number is divisible by 46, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not checking both conditions.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students should ensure they check for divisibility by both 2 and 23.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 46 Examples

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

Problem 1

Is 276 divisible by 46?

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

Yes, 276 is divisible by 46.

Explanation

To determine if 276 is divisible by 46, we can perform the following check:

1) Divide 276 by 46: 276 ÷ 46 = 6.

2) Since the division results in a whole number without a remainder, 276 is divisible by 46.
 

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

Problem 2

Check the divisibility rule of 46 for 368.

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

Yes, 368 is divisible by 46.

Explanation

To check if 368 is divisible by 46, we do the following:

1) Divide 368 by 46: 368 ÷ 46 = 8.

2) The result is a whole number with no remainder, so 368 is divisible by 46.
 

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

Problem 3

Is 184 not divisible by 46?

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

No, 184 is divisible by 46.

Explanation

To verify if 184 is divisible by 46:

1) Divide 184 by 46: 184 ÷ 46 = 4.

2) The division yields a whole number, indicating that 184 is divisible by 46.
 

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

Problem 4

Can 322 be divisible by 46 following the divisibility rule?

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

No, 322 isn't divisible by 46.

Explanation

To check if 322 is divisible by 46:

1) Divide 322 by 46: 322 ÷ 46 ≈ 7.0 (with a remainder).

2) The division does not result in a whole number. Therefore, 322 is not divisible by 46.
 

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

Problem 5

Check the divisibility rule of 46 for 506.

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

Yes, 506 is divisible by 46.

Explanation

To determine if 506 is divisible by 46:

1) Divide 506 by 46: 506 ÷ 46 = 11.

2) The division results in a whole number, which means 506 is divisible by 46.
 

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

FAQs on Divisibility Rule of 46

1.What is the divisibility rule for 46?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 100 that are divisible by 46?

Math FAQ Answers Dropdown Arrow

3.Is 92 divisible by 46?

Math FAQ Answers Dropdown Arrow

4.What if I get a negative result or zero after checking divisibility by 23?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 46 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 46?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 46 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 46 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 46 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 46

  • Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
     
  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 46 are 46, 92, 138, etc.
     
  • Even numbers: Numbers divisible by 2, ending in 0, 2, 4, 6, or 8.
     
  • Alternating sum: A method involving alternating subtraction and addition of a number's digits to check divisibility.
     
  • Verification: The process of confirming results, often by performing the actual division.
     
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 46 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