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Last updated on February 17th, 2025

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Divisibility Rule of 824

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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 824.

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What is the Divisibility Rule of 824?

The divisibility rule for 824 is a method by which we can find out if a number is divisible by 824 or not without using the division method. Check whether 1648 is divisible by 824 with the divisibility rule.  


Step 1: Divide the number into sections that match the length of 824. Here, 1648 can be divided into 1,648.


Step 2: Check if each section is divisible by 824. In this case, 1 is not, but 648 can be considered if it were larger. However, for simplicity, verify using direct division.


Step 3: If the sections are divisible, then the number is divisible by 824. If not, then it is not divisible.

divisibility rule of 824
 

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Tips and Tricks for Divisibility Rule of 824

Understanding the divisibility rule will help kids master division. Let's learn a few tips and tricks for the divisibility rule of 824.

 

Know the multiples of 824:  

 


Memorize the multiples of 824 (824, 1648, 2472, etc.) to quickly check the divisibility. If the result from the division is a multiple of 824, then the number is divisible by 824.

 

Use estimation:  

 


If the number is large, estimate if it falls near any multiples of 824 to quickly ascertain divisibility.

 

Repeat the process for very large numbers:  

 


For numbers much larger than 824, break them down into manageable parts and check divisibility for each section.

 

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 824

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Divisibility Rule of 824 Examples

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Problem 1

Is 1648 divisible by 824?

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Explanation

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Problem 2

Can 2472 be divided by 824 without remainder?

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Explanation

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Problem 3

Is 4120 divisible by 824?

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Explanation

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Problem 4

Check the divisibility of 6592 by 824.

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Explanation

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Problem 5

Is 1720 divisible by 824?

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Explanation

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FAQs on Divisibility Rule of 824

1.What is the divisibility rule for 824?

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2.How can I estimate if a number is near a multiple of 824?

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3.Is 2472 divisible by 824?

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4.What if I get a large remainder?

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5.Does the divisibility rule of 824 apply to all integers?

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Important Glossaries for Divisibility Rule of 824

  • Divisibility rule: A set of guidelines used to determine if one number is divisible by another without performing the division directly.
     
  • Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 824 are 824, 1648, 2472, etc.
     
  • Estimation: A quick way to approximate the outcome of a division to check for divisibility.
     
  • Integer: Whole numbers that include positive numbers, negative numbers, and zero.
     
  • Division: The mathematical operation of determining how many times one number is contained within another.
     
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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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