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Last updated on February 17th, 2025

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Divisibility Rule of 724

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Foundation
Intermediate
Advance Topics

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 724.

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What is the Divisibility Rule of 724?

The divisibility rule for 724 is a method by which we can find out if a number is divisible by 724 or not without using the division method. Check whether 1448 is divisible by 724 using the divisibility rule.

 

Step 1: Divide the number into two equal halves. Here, in 1448, the two halves are 14 and 48.


Step 2: Check if both halves are divisible by half of 724, which is 362.


Step 3: Since neither 14 nor 48 is divisible by 362, 1448 is not divisible by 724.divisibility rule of 724

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Tips and Tricks for Divisibility Rule of 724

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 724.

 

Know the multiples of 724:

 

Memorize the multiples of 724 (724, 1448, 2172, 2896, etc.) to quickly check divisibility.


Use approximation:

 

If you cannot quickly divide by 362, approximate it to 360 and check for rough divisibility.


Repeat the process for large numbers:

 

For large numbers, break them into smaller parts and test each part separately.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 724

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Divisibility Rule of 724 Examples

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Problem 1

Is 2172 divisible by 724?

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Explanation

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Problem 2

Check the divisibility rule of 724 for 1448.

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Explanation

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Problem 3

Is -724 divisible by 724?

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Explanation

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Problem 4

Can 362 be divisible by 724 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 724 for 7240.

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Explanation

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FAQs on Divisibility Rule of 724

1.What is the divisibility rule for 724?

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2.How many numbers are there between 1 and 5000 that are divisible by 724?

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3.Is 2172 divisible by 724?

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4.What if I get 0 after division?

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5.Does the divisibility rule of 724 apply to all integers?

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Important Glossaries for Divisibility Rule of 724

  • Divisibility rule: A set of guidelines to determine if one number is divisible by another without performing division.
     
  • Multiples: Results obtained by multiplying a number by integers. For example, multiples of 724 are 724, 1448, 2172, etc.
     
  • Integers: Numbers including all whole numbers, negative numbers, and zero.
     
  • Approximation: Estimating a number to simplify calculations, often used in divisibility checks.
     
  • Division: A mathematical operation where a number is evenly distributed into equal parts.
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