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Last updated on February 17th, 2025

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Divisibility Rule of 242

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Foundation
Intermediate
Advance Topics

The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 242.

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What is the Divisibility Rule of 242?

The divisibility rule for 242 is a method by which we can find out if a number is divisible by 242 without using the division method. Let’s check whether 484 is divisible by 242 using the divisibility rule.

 

Step 1: Check if the number is divisible by 2, 11, and 11. Since 242 is 2 × 11 × 11, a number must be divisible by each of these factors to be divisible by 242.

 

Step 2: For divisibility by 2, the last digit must be even. In 484, the last digit is 4, which is even.

 

Step 3: For divisibility by 11, calculate the alternating sum and difference of the digits. For 484, (4 - 8 + 4) = 0, which is a multiple of 11.

 

Step 4: Repeat Step 3 for the second factor 11, using the same calculation from Step 3, (4 - 8 + 4) = 0, which confirms divisibility by 11 again.

 

Since 484 meets all conditions, it is divisible by 242.
 

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Tips and Tricks for Divisibility Rule of 242

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 242.

 

Know the multiples of 242:

 

Memorize the multiples of 242 (242, 484, 726, etc.) to quickly check divisibility.

 

Check divisibility by 2, 11, and 11 separately:

 

A number is divisible by 242 only if it is divisible by 2, 11, and 11.

 

Repeat the process for large numbers:

 

For larger numbers, verify divisibility by each factor (2, 11, 11) separately.

 

Use the division method to verify:

 

Students can use the division method to verify and cross-check their results. This helps them to verify and learn.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 242

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Divisibility Rule of 242 Examples

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Problem 1

Is 4840 divisible by 242?

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Explanation

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Problem 2

Can 7261 be divisible by 242 using the divisibility rule?

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Explanation

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Problem 3

Is -968 divisible by 242?

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Explanation

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Problem 4

Check the divisibility rule of 242 for 1452.

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Explanation

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Problem 5

Is 2420 divisible by 242?

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Explanation

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FAQs on Divisibility Rule of 242

1. What is the divisibility rule for 242?

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2.How many numbers are there between 1 and 1000 that are divisible by 242?

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3. Is 726 divisible by 242?

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4. What if I get 0 after the alternating sum for 11?

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5.Does the divisibility rule of 242 apply to all integers?

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Important Glossaries for Divisibility Rule of 242

  • Divisibility rule: The set of rules used to determine whether a number is divisible by another number.

 

  • Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 242 are 242, 484, 726, etc.

 

  • Alternating sum: The sum and difference of digits in alternating sequence used to test divisibility by 11.

 

  • Factors: Numbers that are multiplied together to get another number. For 242, the factors are 2 and 11.

 

  • Even number: A number divisible by 2, having 0, 2, 4, 6, or 8 as the last digit.
     
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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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Fun Fact

: She loves to read number jokes and games.

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