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Last updated on February 13th, 2025

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Divisibility Rule of 525

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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 525.

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What is the Divisibility Rule of 525?

The divisibility rule for 525 is a method by which we can find out if a number is divisible by 525 or not without using the division method.

To check whether a number is divisible by 525, it must be divisible by 3, 5, and 7, since 525 = 3 × 5 × 7.

Example: Check whether 3675 is divisible by 525 with the divisibility rule.

 

1. Divisibility by 3: Add up the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. For 3675, 3+6+7+5=21, and 21 is divisible by 3.

 

2. Divisibility by 5: Check if the last digit of the number is 0 or 5. For 3675, the last digit is 5, so it is divisible by 5.

 

3. Divisibility by 7: Multiply the last digit by 2 and subtract it from the rest of the number. Repeat if necessary. For 3675, multiply 5 by 2 to get 10, and subtract from 367 to get 357. Repeat the process: multiply 7 by 2 to get 14 and subtract from 35 to get 21. Since 21 is divisible by 7, 3675 is divisible by 7.

 

Since 3675 is divisible by 3, 5, and 7, it is divisible by 525.

divisibility rule of 525
 

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Tips and Tricks for Divisibility Rule of 525

Knowing the individual rules for 3, 5, and 7 will help in mastering the divisibility rule for 525. Let's learn a few tips and tricks for this rule.

 

1. Know the multiples of 3, 5, and 7:

 

Memorizing these multiples will allow you to quickly verify divisibility.

 

2. Use the negative numbers:

 

If the result you get after using the divisibility rule for 7 is negative, ignore the symbol and consider it as positive for checking divisibility.

 

3. Repeat the process for large numbers:

 

For large numbers, you may need to repeat the divisibility check for 7 until you reach a smaller number.

 

 

4. Use the division method to verify:

 

You can use the division method to verify and cross-check your results.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 525

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Divisibility Rule of 525 Examples

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Problem 1

Is 2100 divisible by 525?

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Explanation

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Problem 2

Check the divisibility rule of 525 for 5250.

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Explanation

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Problem 3

Is 3675 divisible by 525?

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Explanation

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Problem 4

Can 10500 be divisible by 525 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 525 for 7875.

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Explanation

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FAQs on Divisibility Rule of 525

1.What is the divisibility rule for 525?

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2. How many numbers between 1 and 1000 are divisible by 525?

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3. Is 105 divisible by 525?

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4. What if I get 0 after applying any divisibility rule?

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5. Does the divisibility rule of 525 apply to all integers?

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Important Glossaries for Divisibility Rule of 525

  • Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.

   

  • Multiples: Results obtained by multiplying a number by integers. For example, multiples of 5 are 5, 10, 15, etc.

 

  • Integers: Whole numbers, including negative numbers, zero, and positive numbers.

 

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

 

  • Verification: The process of confirming the correctness of a result, often using another method 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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