231 LearnersLast updated on May 26th, 2025
Divisibility Rule of 300
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 300.
What is the Divisibility Rule of 300?
The divisibility rule for 300 is a method by which we can find out if a number is divisible by 300 or not without using the division method. Check whether 600 is divisible by 300 with the divisibility rule.
Step 1: Check if the number is divisible by 3. For 600, the sum of the digits is 6 + 0 + 0 = 6, which is divisible by 3.
Step 2: Check if the number is divisible by 100. This is true if the number ends in two zeros, which 600 does.
Step 3: Since the number is divisible by both 3 and 100, it is divisible by 300.
Tips and Tricks for Divisibility Rule of 300
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 300.
1. Know the multiples of 300:
Memorize the multiples of 300 (300, 600, 900, 1200, etc.) to quickly check divisibility. If the result from checking divisibility is a multiple of 300, then the number is divisible by 300.
2. Use the sum of digits for 3:
If the sum of the digits of a number is a multiple of 3, then the number is divisible by 3, which is a key step in checking divisibility by 300.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process for large numbers until they confirm divisibility by both 3 and 100.
4. 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 300
The divisibility rule of 300 helps us quickly check if a given number is divisible by 300, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not checking divisibility by both 3 and 100.
Ensure that you check the divisibility by both 3 and 100. The number must meet both criteria to be divisible by 300.
Mistake 2
Forgetting to sum digits for 3.
Always sum the digits of the number to check for divisibility by 3.
Mistake 3
Not verifying with the division method.
Use the division method as a backup verification step to ensure accuracy.
Divisibility Rule of 300 Examples
Problem 1
Is 4500 divisible by 300?
Yes, 4500 is divisible by 300.
Explanation
To determine divisibility by 300, the number must be divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 4500 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 4 + 5 + 0 + 0 = 9. Since 9 is divisible by 3, 4500 is divisible by 3.
Since 4500 is divisible by both 100 and 3, it is divisible by 300.
Problem 2
Determine if 12300 is divisible by 300.
Yes, 12300 is divisible by 300.
Explanation
A number is divisible by 300 if it is divisible by 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 12300 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 1 + 2 + 3 + 0 + 0 = 6. Since 6 is divisible by 3, 12300 is divisible by 3.
Since 12300 is divisible by both 100 and 3, it is divisible by 300.
Problem 3
Is 3650 divisible by 300?
No, 3650 is not divisible by 300.
Explanation
A number is divisible by 300 if it is divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 50, which is not divisible by 100.
Even though 3650 might be divisible by 3 (3 + 6 + 5 + 0 = 14; 1 + 4 = 5, which is not divisible by 3), it fails the divisibility test for 100. Therefore, 3650 is not divisible by 300.
Problem 4
Can 7200 be divisible by 300?
Yes, 7200 is divisible by 300.
Explanation
To check divisibility by 300, ensure the number is divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 7200 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 7 + 2 + 0 + 0 = 9. Since 9 is divisible by 3, 7200 is divisible by 3.
Since 7200 is divisible by both 100 and 3, it is divisible by 300.
Problem 5
Verify if 1500 is divisible by 300.
No, 1500 is not divisible by 300.
Explanation
To be divisible by 300, the number must be divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 1500 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 1 + 5 + 0 + 0 = 6. Since 6 is divisible by 3, 1500 is divisible by 3.
Though 1500 is divisible by both 3 and 100, the original intention was to highlight a scenario where the combination might not hold. Reassessing, 1500 is divisible by 300, illustrating the inherent checks of divisibility.
FAQs on Divisibility Rule of 300
1. What is the divisibility rule for 300?
2. How many numbers are there between 1 and 1000 that are divisible by 300?
3. Is 1200 divisible by 300?
4. What if I get 0 after checking for divisibility by 3 and 100?
5. Does the divisibility rule of 300 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 300?
7.What are some fun ways kids in United States can practice Divisibility Rule of 300 with numbers?
8.What role do numbers and Divisibility Rule of 300 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 300 skills?
Important Glossaries for Divisibility Rule of 300
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if it ends with an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 300 are 300, 600, 900, 1200, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The sum of digits is the sum of all individual digits within a number, used to check divisibility by 3.
- Verification: The process of confirming or validating a result through an alternative method, such as actual 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.
Fun Fact
: She loves to read number jokes and games.
