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Last updated on February 13th, 2025

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Divisibility Rule of 535

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Foundation
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 535.

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What is the Divisibility Rule of 535?

The divisibility rule for 535 is a method by which we can find out if a number is divisible by 535 without using the division method. Check whether 1070 is divisible by 535 with the divisibility rule.

 

Step 1: Divide the number into two parts. Here, 1070 can be split into 10 and 70.

 

Step 2: Check if both numbers are divisible by 5. Both 10 and 70 are divisible by 5.

 

Step 3: Check if both numbers are divisible by 107. Neither 10 nor 70 is divisible by 107, so 1070 is not divisible by 535.

divisibility rule of 535
 

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Tips and Tricks for Divisibility Rule of 535

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 535.

 

Know the multiples of 535:

 

Memorize the multiples of 535 (535, 1070, 1605, 2140, etc.) to quickly check divisibility. If both parts of the split number are divisible by 5 and 107, then the original number is divisible by 535.

 

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 535

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Divisibility Rule of 535 Examples

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Problem 1

Is 2140 divisible by 535?

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Explanation

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Problem 2

Check the divisibility rule of 535 for 1605.

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Explanation

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Problem 3

Can -2675 be divisible by 535 following the divisibility rule?

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Explanation

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Problem 4

Is 3210 divisible by 535?

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Explanation

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Problem 5

Check the divisibility rule of 535 for 10700.

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Explanation

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FAQs on Divisibility Rule of 535

1.What is the divisibility rule for 535?

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2. How many numbers are there between 1 and 10000 that are divisible by 535?

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3.Is 1605 divisible by 535?

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4. Does the divisibility rule of 535 apply to all integers?

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Important Glossaries for Divisibility Rule of 535

  • Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.

 

  • Multiples: The results we get after multiplying a number by an integer. For example, multiples of 535 are 535, 1070, 1605, etc.

 

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

 

  • Division: The process of determining how many times one number is contained within another.

 

  • Parts: The sections a number is divided into when applying divisibility rules, particularly for complex divisibility checks like those for 535.
     
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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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