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Last updated on February 14th, 2025

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Divisibility Rule of 542

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Intermediate
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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 542.

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What is the Divisibility Rule of 542?

The divisibility rule for 542 is a method by which we can determine if a number is divisible by 542 or not without using the division method. Check whether 1084 is divisible by 542 with the divisibility rule.

 

Step 1: Separate the number into two groups. Here, in 1084, take the last three digits as a group: 084, and the remaining part as another group: 1.

 

Step 2: Check if these groups are divisible by 542. Since 1 and 084 are not divisible by 542, 1084 is not divisible by 542.divisibility rule of 542

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Tips and Tricks for Divisibility Rule of 542

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 542.

 

  • Know the multiples of 542: Memorize the multiples of 542 (542, 1084, 1626, 2168, etc.) to quickly check divisibility. If the number matches any of these multiples, it is divisible by 542.
     
  • Break down large numbers: For large numbers, breaking them down into smaller parts and checking each part for divisibility can simplify the process.
     
  • Combine divisibility rules: If 542 is too complex, break it down into its prime factors (2, 271) and check divisibility by these smaller numbers.
     
  • Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 542

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Divisibility Rule of 542 Examples

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Problem 1

Is the number of pages in a book, 1626, divisible by 542?

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Explanation

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Problem 2

A shipment contains 2710 items, each packed in boxes of 542. Is the total number of items divisible evenly by the number of items per box?

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Explanation

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Problem 3

A machine produces 1084 units per hour. Can it produce a multiple of 542 units in two hours?

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Explanation

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Problem 4

A company wants to distribute 3252 promotional items equally into boxes of 542. Is this distribution possible?

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Explanation

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Problem 5

A library catalog contains 811 books. Is this number divisible by the unique code 542 assigned to each section?

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Explanation

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FAQs on Divisibility Rule of 542

1.What is the divisibility rule for 542?

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2.How do you check if a number is divisible by 542?

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3.Is 1084 divisible by 542?

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4.What if I get a number less than 542?

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5.Does the divisibility rule of 542 apply to all integers?

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Important Glossaries for Divisibility Rule of 542

  • Divisibility Rule: A set of rules used to determine whether a number is divisible by another number or not.
     
  • Multiples: The results obtained when a number is multiplied by an integer. For example, multiples of 542 are 542, 1084, 1626, etc.
     
  • Prime Factors: The prime numbers that multiply together to give the original number. For 542, these are 2 and 271.
     
  • Integer: A whole number that can be positive, negative, or zero.
     
  • Separation: The process of dividing a number into parts to simplify checking for divisibility.
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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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