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Last updated on February 15th, 2025

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Divisibility Rule of 688

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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 calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 688.

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What is the Divisibility Rule of 688?

The divisibility rule for 688 is a method by which we can find out if a number is divisible by 688 without performing division. Check whether 2064 is divisible by 688 using the divisibility rule.
 

Step 1: Divide the number into groups from right to left, each containing three digits. Here, 2064 can be divided as (2) and (064).
 

Step 2: Check if each group is divisible by 688. Since 064 is less than 688, it is not divisible. We can conclude that 2064 is not divisible by 688.divisibility rule of 688
 

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Tips and Tricks for Divisibility Rule of 688

Learning the divisibility rule can help students master division. Let’s learn a few tips and tricks for the divisibility rule of 688.

  • Know the multiples of 688: Memorize the multiples of 688 (688, 1376, 2064, 2752, etc.) to quickly check divisibility. If the groups are multiples of 688, then the number is divisible by 688.
     
  • Use the division method for verification: Students can use the division method to verify and cross-check their results. This will help them confirm their understanding and improve their skills.
     
  • Repeat the process for large numbers: For large numbers, students should keep repeating the divisibility process by dividing the number into groups of three digits until they find a result that is divisible by 688.
     
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Common Mistakes and How to Avoid Them in Divisibility Rule of 688

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Divisibility Rule of 688 Examples

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Problem 1

Is the number of pages in a book, 1376, divisible by 688?

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Explanation

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Problem 2

A warehouse has 2752 boxes. Can they be evenly divided into sections of 688 boxes?

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Explanation

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Problem 3

A shipment contains 2064 items. Is this number divisible by 688?

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Explanation

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Problem 4

A factory produces 5150 units in a batch. Can these units be distributed evenly into groups of 688?

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Explanation

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Problem 5

A conference room has 2064 chairs. Can they be arranged into rows of 688 chairs each?

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Explanation

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FAQs on Divisibility Rule of 688

1.What is the divisibility rule for 688?

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2.How many numbers are there between 1 and 5000 that are divisible by 688?

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3.Is 2064 divisible by 688?

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4.What if I get 0 after division?

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5.Does the divisibility rule of 688 apply to negative numbers?

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Important Glossaries for Divisibility Rule of 688

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing actual division.
     
  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 688 are 688, 1376, 2064, etc.
     
  • Integers: Numbers that include all whole numbers, negative numbers, and zero.
     
  • Division method: A mathematical process used to verify if a number is divisible by another by performing division.
     
  • Grouping: The process of dividing a number into smaller parts or groups to simplify calculations.
     
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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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