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Last updated on April 1st, 2025

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Divisibility Rule of 343

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Foundation
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 343.

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What is the Divisibility Rule of 343?

The divisibility rule for 343 is a method by which we can find out if a number is divisible by 343 or not without using the division method. Check whether 2401 is divisible by 343 with the divisibility rule.

 

Step 1: Check the last three digits of the number. Here, in 2401, the last three digits are 401.


Step 2: Check whether the number formed by these three digits, 401, is divisible by 343.


Step 3: Since 401 is not a multiple of 343, 2401 is not divisible by 343. If the result from Step 2 isn't a multiple of 343, then the number isn't divisible by 343.

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Tips and Tricks for Divisibility Rule of 343

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 343.

 

Know the multiples of 343:  


Memorize the multiples of 343 (343, 686, 1029, 1372... etc.) to quickly check divisibility. If the three-digit number is a multiple of 343, then the number is divisible by 343.

 

 

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 343

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Divisibility Rule of 343 Examples

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Problem 1

Is the number of pages in a book, 686, divisible by 343?

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Explanation

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Problem 2

You have a total of 1029 marbles. Can they be arranged in groups of 343 without any marbles left over?

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Explanation

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Problem 3

A parking lot can hold 1288 cars. Is it possible to split the parking spaces into sections of 343 spaces each?

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Explanation

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Problem 4

A farmer has 1715 apples and wants to pack them into crates, each holding 343 apples. Can he do this without any apples left over?

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Explanation

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FAQs on Divisibility Rule of 343

1.What is the divisibility rule for 343?

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2.How many numbers are there between 1 and 1000 that are divisible by 343?

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3.Is 1029 divisible by 343?

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4.What if I get 0 after checking?

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5.Does the divisibility rule of 343 apply to all the integers?

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Important Glossaries for Divisibility Rule of 343

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 343 are 343, 686, 1029, etc.

 

  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

 

  • Remainder: The amount left over after division when one number cannot be evenly divided by another.

 

  • Verification: The process of confirming the result by using an alternative method, like division, to ensure accuracy.
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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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