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Last updated on February 17th, 2025

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Divisibility Rule of 198

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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 198.

Divisibility Rule of 198 for UAE Students
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What is the Divisibility Rule of 198?

The divisibility rule for 198 is a method by which we can determine if a number is divisible by 198 without using the division method. Check whether 396 is divisible by 198 with the divisibility rule.  


Step 1: Since 198 is the product of 2, 3, and 11, check the divisibility by these numbers.  


Step 2: Ensure the number is even to check for divisibility by 2. Here, 396 is even, so it passes this test.  


Step 3: Sum the digits of 396 (3 + 9 + 6 = 18) and check divisibility by 3. Since 18 is divisible by 3, 396 passes this test.  


Step 4: To check divisibility by 11, alternate sum the digits: (3 - 9 + 6 = 0). Since 0 is divisible by 11, 396 passes this test.  


Step 5: Since 396 is divisible by 2, 3, and 11, it is also divisible by 198.

divisibility rule of 198

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Tips and Tricks for Divisibility Rule of 198

Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 198.  

 

  • Know the factors of 198: Memorize the factors 2, 3, and 11 to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 198.  

 

  • Use the sum of digits for 3: Adding the digits to check divisibility by 3 is a quick method.  

 

  • Use the alternating sum for 11: For 11, alternate the sum and difference of digits.  

 

  • Repeat the process for large numbers: Students should continue checking divisibility by 2, 3, and 11 for larger numbers.  

 

  • Use the division method to verify: Students can use division to cross-check and verify their results, ensuring they learn the process thoroughly.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 198

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Divisibility Rule of 198 Examples

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Problem 1

Is 594 divisible by 198?

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Explanation

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Problem 2

Is 792 divisible by 198?

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Explanation

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Problem 3

Can 1,188 be divisible by 198?

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Explanation

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Problem 4

Check the divisibility rule of 198 for 396.

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Explanation

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Problem 5

Is 2,376 divisible by 198?

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Explanation

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FAQs on Divisibility Rule of 198

1.What is the divisibility rule for 198?

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2.How many numbers are there between 1 and 1000 that are divisible by 198?

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3.Is 594 divisible by 198?

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4. What if I get 0 after performing checks?

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5.Does the divisibility rule of 198 apply to all integers?

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6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 198?

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7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 198 with numbers?

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8.What role do numbers and Divisibility Rule of 198 play in helping children in United Arab Emirates develop problem-solving skills?

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9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 198 skills?

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Important Glossary for Divisibility Rule of 198

  • Divisibility Rule: A set of rules to determine if one number is divisible by another without division.  

 

  • Factors: Numbers that are multiplied to get another number. For 198, the factors are 2, 3, and 11.  

 

  • Even Number: A number divisible by 2.  

 

  • Sum of Digits: The sum obtained by adding all the digits of a number, used for divisibility by 3.  

 

  • Alternating Sum: The sum of alternating digits (subtract and add) used for divisibility by 11.
     
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About BrightChamps in United Arab Emirates

At BrightChamps, we believe numbers are more than symbols—they open doors to endless opportunities! Our mission is to help kids across the UAE build key math skills, focusing on today’s Divisibility Rule of 198 with a special emphasis on the Divisibility Rule—delivered in a way that’s lively, fun, and easy to understand. Whether your child is figuring out how fast a roller coaster moves at Dubai Parks and Resorts, tracking scores at local football games, or managing their allowance to buy the latest gadgets, mastering numbers empowers them for everyday situations. Our interactive lessons make learning enjoyable and accessible. Because kids in the UAE learn in many ways, we personalize our teaching to fit each learner’s style. From Dubai’s towering skyscrapers to Abu Dhabi’s rich heritage, BrightChamps brings math to life and excitement throughout the UAE. Let’s make the Divisibility Rule a fun part of every child’s math journey!
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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.

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: She loves to read number jokes and games.

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