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Last updated on February 15th, 2025

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Divisibility Rule of 686

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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 686.

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What is the Divisibility Rule of 686?

The divisibility rule for 686 is a method by which we can find out if a number is divisible by 686 or not without using the division method. Check whether 1372 is divisible by 686 with the divisibility rule.
 

Step 1: Divide the number into two parts, one part being the last three digits. Here in 1372, the last three digits are 372.

Step 2: Check if the number formed by the last three digits is a multiple of 686. If 372 is a multiple of 686, then 1372 is divisible by 686.

Step 3: If the result from step 2 isn't a multiple of 686, then the number isn't divisible by 686.divisibility rule of 686
 

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Tips and Tricks for Divisibility Rule of 686

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 686.
 

  • Know the multiples of 686: Memorize the multiples of 686 (686, 1372, 2058, 2744...etc.) to quickly check the divisibility. If the result from step 2 is a multiple of 686, then the number is divisible by 686.
     
  • Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
     
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Common Mistakes and How to Avoid Them in Divisibility Rule of 686

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Divisibility Rule of 686 Examples

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Problem 1

Is 2058 divisible by 686?

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Explanation

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Problem 2

Check the divisibility rule of 686 for 6860.

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Explanation

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Problem 3

Is -1372 divisible by 686?

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Explanation

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Problem 4

Can 500 be divisible by 686 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 686 for 1372.

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Explanation

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FAQs on Divisibility Rule of 686

1.What is the divisibility rule for 686?

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2.How many numbers are there between 1 and 5000 that are divisible by 686?

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3.Is 1372 divisible by 686?

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4.What if the number formed by the last three digits is zero?

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5.Does the divisibility rule of 686 apply to all integers?

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Important Glossary for Divisibility Rule of 686

  • Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
     
  • Multiples: Multiples are numbers obtained by multiplying a given number by integers.
     
  • Integer: An integer is a whole number that can be positive, negative, or zero.
     
  • Verification: The process of confirming the accuracy of a result, often by using an alternate method like division.
     
  • Calculation: The process of using mathematics to find an answer or solve a problem, involving operations such as addition, subtraction, multiplication, and division.
     
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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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