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Last updated on February 13th, 2025

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Divisibility Rule of 527

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Foundation
Intermediate
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The divisibility rule is a way to determine whether a number is divisible by another number without actually performing the division. In real life, divisibility rules can be used for quick calculations, dividing things evenly, and organizing items. In this topic, we will explore the divisibility rule of 527.

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What is the Divisibility Rule of 527?


The divisibility rule for 527 is a method by which we can find out if a number is divisible by 527 without using the division method. Check whether 1054 is divisible by 527 with the divisibility rule.

 

Step 1: Multiply the last two digits of the number by 2. In 1054, 54 is the last two digits, so multiply it by 2. 54 × 2 = 108.

 

Step 2: Subtract the result from Step 1 from the remaining digits but do not include the last two digits. i.e., 10 - 108 = -98.

 

Step 3: Since -98 is not a multiple of 527, the number is not divisible by 527. If the result from Step 2 is a multiple of 527, then the number is divisible by 527.

divisibility rule of 527

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Tips and Tricks for Divisibility Rule of 527

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 527.

 

Know the multiples of 527:

 

Memorize the multiples of 527 (527, 1054, 1581, ...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 527, then the number is divisible by 527.

 

Use the negative numbers:

 

If the result we get after subtraction is negative, we will consider its absolute value for checking the divisibility of a number.

 

Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a small number that is divisible by 527. For example, check if 6329 is divisible by 527 using the divisibility test. Multiply the last two digits by 2, i.e., 29 × 2 = 58. Subtract the remaining digits excluding the last two digits by 58, 63 - 58 = 5. Since 5 is not a multiple of 527, 6329 is not divisible by 527.

 

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 527

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Divisibility Rule of 527 Examples

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Problem 1

Is 2635 divisible by 527?

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Explanation

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Problem 2

Check the divisibility rule of 527 for 1581.

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Explanation

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Problem 3

Is 527 divisible by 527?

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Explanation

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Problem 4

Can 10540 be divisible by 527 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 527 for 6324.

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Explanation

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FAQs on Divisibility Rule of 527

1.What is the divisibility rule for 527?

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2.How many numbers are there between 1 and 1000 that are divisible by 527?

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3.Is 1054 divisible by 527?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 527 apply to all integers?

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Important Glossaries for Divisibility Rule of 527

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

 

  • Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 527 are 527, 1054, 1581, etc.

 

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

 

  • Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.

 

  • Absolute value: The non-negative value of a number without regard to its sign. For example, the absolute value of -98 is 98.
     
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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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