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Last updated on February 17th, 2025

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Divisibility Rule of 822

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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 822.

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What is the Divisibility Rule of 822?

The divisibility rule for 822 is a method by which we can determine if a number is divisible by 822 without using the division method. Check whether 1644 is divisible by 822 using the divisibility rule.

 

Step 1: Divide the number into two parts: the last three digits and the remaining digits. Here in 1644, 644 is the last part and 1 is the remaining part.

 

Step 2: Add the two parts together. 1 + 644 = 645.

 

Step 3: Check if 645 is a multiple of 822. If it is, then the original number is divisible by 822. If 645 is not a multiple of 822, then the number isn't divisible by 822.

divisibility rule of 822
 

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Tips and Tricks for Divisibility Rule of 822

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 822.

 

Know the multiples of 822:

 

Memorize the multiples of 822 (822, 1644, 2466, etc.) to quickly check divisibility. If the result from the addition is a multiple of 822, then the number is divisible by 822.

 

Use the division method to verify:

 

Students can use the division method as a way to verify and crosscheck 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 822

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Divisibility Rule of 822 Examples

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Problem 1

Is 1644 divisible by 822?

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Explanation

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Problem 2

Check the divisibility rule of 822 for 2466.

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Explanation

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Problem 3

Is -8220 divisible by 822?

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Explanation

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Problem 4

Can 987 be divisible by 822 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 822 for 8220.

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Explanation

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FAQs on Divisibility Rule of 822

1.What is the divisibility rule for 822?

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2.How many numbers are there between 1 and 5000 that are divisible by 822?

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3. Is 2466 divisible by 822?

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4.What if I get 0 after addition?

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5.Does the divisibility rule of 822 apply to all integers?

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Important Glossaries for Divisibility Rule of 822

  • 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 822 are 822, 1644, 2466, etc.
     
  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
     
  • Addition: Addition is the process of calculating the total of two or more numbers.
     
  • Parts: In the context of the divisibility rule, parts refer to sections of a number used to apply the rule, such as the last three digits and the remaining digits.
     
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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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