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Last updated on February 18th, 2025

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Divisibility Rule of 927

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Foundation
Intermediate
Advance Topics

The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. It is useful in real life for quick math, dividing things evenly, and sorting. In this topic, we will learn about the divisibility rule of 927.

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What is the Divisibility Rule of 927?

The divisibility rule for 927 is a method by which we can determine if a number is divisible by 927 without using the division method. Let's check whether 1854 is divisible by 927 using this rule.

 

Step 1: Multiply the last digit of the number by 2. In 1854, the last digit is 4, so multiply it by 2. 4 × 2 = 8.


Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. That is, 185 - 8 = 177.


Step 3: As 177 is not a multiple of 927, 1854 is not divisible by 927. If the result from Step 2 is a multiple of 927, then the number is divisible by 927.

divisibility rule of 927
 

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Tips and Tricks for Divisibility Rule of 927

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 927.

 

Know the multiples of 927:

 

Memorize the multiples of 927 (e.g., 927, 1854, 2781, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 927, then the number is divisible by 927.

 

Use negative numbers:

 

If the result after subtraction is negative, consider it as positive for checking divisibility.

 

Repeat the process for large numbers:

 

If the result is still large, repeat the divisibility process until you reach a small number that is divisible by 927. For example, check if 5556 is divisible by 927 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 555 - 12 = 543. Still, 543 is large, so repeat the process: 3 × 2 = 6. Now subtract 6 from the remaining numbers excluding the last digit, 54 - 6 = 48. As 48 is not a multiple of 927, 5556 is not divisible by 927.

 

Use the division method to verify:

 

Verify results with the division method to ensure correctness and enhance learning.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 927

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Divisibility Rule of 927 Examples

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Problem 1

Is 1854 divisible by 927?

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Explanation

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Problem 2

Check if 2781 is divisible by 927.

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Explanation

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Problem 3

Is -3708 divisible by 927?

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Explanation

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Problem 4

Can 5000 be divisible by 927 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 927 for 9270.

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Explanation

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FAQs on Divisibility Rule of 927

1.What is the divisibility rule for 927?

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2.How many numbers are there between 1 and 10000 that are divisible by 927?

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3. Is 1854 divisible by 927?

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4.What if I get 0 after subtracting?

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5. Does the divisibility rule of 927 apply to all integers?

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Important Glossaries for Divisibility Rule of 927

  • Divisibility Rule: A set of steps used to determine if one number is divisible by another without direct division.
     
  • Multiples: Results obtained by multiplying a number by an integer, e.g., multiples of 927 are 927, 1854, 2781, etc
    .
  • Integers: Whole numbers that can be positive, negative, or zero.
     
  • Subtraction: The mathematical process of finding the difference between two numbers.
     
  • Verification: The process of confirming the accuracy of a result, often through alternative methods like 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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