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Last updated on March 29th, 2025

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Divisibility Rule of 600

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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 600.

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What is the Divisibility Rule of 600?

The divisibility rule for 600 is a method by which we can find out if a number is divisible by 600 or not without using the division method. To determine if a number is divisible by 600, it must be divisible by the factors of 600, which are 3, 4, and 25.

Check divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

Check divisibility by 4: A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4.


Check divisibility by 25: A number is divisible by 25 if the last two digits are 00, 25, 50, or 75.

divisibility rule of 600
 

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Tips and Tricks for Divisibility Rule of 600

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 600.

Know the multiples of 600: Memorize some multiples of 600 (600, 1200, 1800, 2400, etc.) to quickly check for divisibility.

Break the rule into parts: Since 600 is composed of 3, 4, and 25, verify each factor separately to simplify the process.

Repeat the process for large numbers: For large numbers, break them down into smaller parts that are easier to check for divisibility by 3, 4, and 25.

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 600

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Divisibility Rule of 600 Examples

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Problem 1

Is the number of pages in a book, 1800, divisible by 600?

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Explanation

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Problem 2

Check if the number of participants in a marathon, 2400, can be divided evenly into groups of 600.

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Explanation

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Problem 3

Is a shipment of 3600 products divisible into packages of 600?

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Explanation

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Problem 4

Can a batch of 1250 widgets be evenly divided into containers of 600?

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Explanation

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Problem 5

Is a budget of $3000 divisible by 600 for project allocations?

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Explanation

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FAQs on Divisibility Rule of 600

1.What is the divisibility rule for 600?

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2.How many numbers are there between 1 and 1000 that are divisible by 600?

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3.Is 1800 divisible by 600?

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4.What if the last two digits form 00?

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5. Does the divisibility rule of 600 apply to all integers?

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Important Glossaries for Divisibility Rule of 600

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.

 

  • Multiple: The result obtained when a number is multiplied by an integer.

 

  • Factor: A number that divides another number completely without leaving a remainder.

 

  • Integer: A whole number, positive, negative, or zero, without any fractional part.

 

  • Sum of digits: The total obtained by adding all the individual digits of a number.
     
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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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