172 LearnersLast updated on May 26th, 2025
Divisibility Rule of 600
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.
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.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 600
The divisibility rule of 600 helps us quickly check if a given number is divisible by 600, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure you check divisibility by 3, 4, and 25, as a number must pass all these to be divisible by 600.
Mistake 2
Forgetting to sum digits for 3
Always add up all the digits to check divisibility by 3.
Mistake 3
Misinterpreting the last two digits for 4 and 25.
Ensure the last two digits meet the criteria for both 4 and 25.
Mistake 4
Stopping after one test is passed.
Continue testing until all three divisibility rules (3, 4, and 25) are satisfied.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps, so regular practice is essential.
Divisibility Rule of 600 Examples
Problem 1
Is the number of pages in a book, 1800, divisible by 600?
Yes, 1800 is divisible by 600.
Explanation
To check if 1800 is divisible by 600, we must confirm it is divisible by 2, 3, and 5.
1) The last digit is 0, which is divisible by 2.
2) Sum the digits: 1 + 8 + 0 + 0 = 9, which is divisible by 3.
3) The last digit is 0, which is divisible by 5.
Since 1800 meets all these conditions, it is divisible by 600.
Problem 2
Check if the number of participants in a marathon, 2400, can be divided evenly into groups of 600.
Yes, 2400 is divisible by 600.
Explanation
To determine if 2400 is divisible by 600, we need to check divisibility by 2, 3, and 5.
1) The last digit is 0, so it's divisible by 2.
2) Sum the digits: 2 + 4 + 0 + 0 = 6, which is divisible by 3.
3) The last digit is 0, so it's divisible by 5.
Since all conditions are satisfied, 2400 is divisible by 600.
Problem 3
Is a shipment of 3600 products divisible into packages of 600?
Yes, 3600 is divisible by 600.
Explanation
To check if 3600 can be divided by 600, it must be divisible by 2, 3, and 5.
1) The last digit is 0, thus divisible by 2.
2) Sum the digits: 3 + 6 + 0 + 0 = 9, which is divisible by 3.
3) The last digit is 0, hence divisible by 5.
As 3600 satisfies all these rules, it is divisible by 600.
Problem 4
Can a batch of 1250 widgets be evenly divided into containers of 600?
No, 1250 is not divisible by 600.
Explanation
For 1250 to be divisible by 600, it needs to be divisible by 2, 3, and 5.
1) The last digit is 0, indicating it's divisible by 2.
2) Sum the digits: 1 + 2 + 5 + 0 = 8, not divisible by 3.
3) The last digit is 0, indicating divisibility by 5.
Since 8 is not divisible by 3, 1250 cannot be divided by 600.
Problem 5
Is a budget of $3000 divisible by 600 for project allocations?
Yes, 3000 is divisible by 600.
Explanation
To verify if 3000 is divisible by 600, it must be divisible by 2, 3, and 5.
1) The last digit is 0, thus divisible by 2.
2) Sum the digits: 3 + 0 + 0 + 0 = 3, which is divisible by 3.
3) The last digit is 0, hence divisible by 5.
Therefore, 3000 is divisible by 600.
FAQs on Divisibility Rule of 600
1.What is the divisibility rule for 600?
2.How many numbers are there between 1 and 1000 that are divisible by 600?
3.Is 1800 divisible by 600?
4.What if the last two digits form 00?
5. Does the divisibility rule of 600 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 600?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 600 with numbers?
8.What role do numbers and Divisibility Rule of 600 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 600 skills?
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.
Fun Fact
: She loves to read number jokes and games.
