186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 333
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 333.
What is the Divisibility Rule of 333?
The divisibility rule for 333 is a method by which we can find out if a number is divisible by 333 or not without using the division method. Check whether 999 is divisible by 333 with the divisibility rule.
Step 1: Sum the digits in the number. For 999, the sum of the digits is 9+9+9=27.
Step 2: Check if 27 is divisible by 3. As 27 is a multiple of 3, proceed to the next step.
Step 3: Since the sum of the digits is divisible by 3, check if the original number is divisible by 3. Since 999 is divisible by 3, the number is also divisible by 333 (since 333=3×111).
Tips and Tricks for Divisibility Rule of 333
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 333.
- Know the multiples of 333: Memorize the multiples of 333 (333, 666, 999, ...etc.) to quickly check divisibility. If the sum of the digits is a multiple of 3 and the original number was divisible by 3, then it is divisible by 333.
- Use negative numbers: If the result we get after summing the digits is negative, consider it as positive for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 333.
- 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 333
The divisibility rule of 333 helps us quickly check if the given number is divisible by 333, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of summing the digits and ensuring the sum is divisible by 3, and the original number was divisible by 3.
Mistake 2
Including non-digit characters in the sum.
Ensure only the digits of the number are summed.
Mistake 3
Not repeating the process when the sum is large.
Continue the process until you reach a small number that confirms divisibility by 333.
Mistake 4
Not considering the negative values.
Treat negative sums as positive when checking for divisibility.
Mistake 5
Confusing the steps
Practice regularly to avoid confusion in the steps.
Divisibility Rule of 333 Examples
Problem 1
Is 1998 divisible by 333?
Yes, 1998 is divisible by 333.
Explanation
To check divisibility by 333, follow these steps:
1) Separate the digits of the number, and sum them: 1 + 9 + 9 + 8 = 27.
2) Check if the sum is divisible by 3. Yes, 27 is divisible by 3.
3) Divide the original number by 333 to check: 1998 ÷ 333 = 6.
Thus, 1998 is divisible by 333.
Problem 2
Check the divisibility rule of 333 for 2664.
No, 2664 is not divisible by 333.
Explanation
To check the divisibility of 2664 by 333, follow these steps:
1) Separate the digits of the number, and sum them: 2 + 6 + 6 + 4 = 18.
2) Check if the sum is divisible by 3. Yes, 18 is divisible by 3.
3) Divide the original number by 333 to check: 2664 ÷ 333 = 8.002...
Since it does not divide evenly, 2664 is not divisible by 333.
Problem 3
Is 999 divisible by 333?
Yes, 999 is divisible by 333.
Explanation
To check the divisibility of 999 by 333, follow these steps:
1) Separate the digits of the number, and sum them: 9 + 9 + 9 = 27.
2) Check if the sum is divisible by 3. Yes, 27 is divisible by 3.
3) Divide the original number by 333 to check: 999 ÷ 333 = 3.
Thus, 999 is divisible by 333.
Problem 4
Can 1332 be divisible by 333 following the divisibility rule?
Yes, 1332 is divisible by 333.
Explanation
To check the divisibility of 1332 by 333, follow these steps:
1) Separate the digits of the number, and sum them: 1 + 3 + 3 + 2 = 9.
2) Check if the sum is divisible by 3. Yes, 9 is divisible by 3.
3) Divide the original number by 333 to check: 1332 ÷ 333 = 4.
Therefore, 1332 is divisible by 333.
Problem 5
Check the divisibility rule of 333 for 2222.
No, 2222 is not divisible by 333.
Explanation
To check the divisibility of 2222 by 333, follow these steps:
1) Separate the digits of the number, and sum them: 2 + 2 + 2 + 2 = 8.
2) Check if the sum is divisible by 3. No, 8 is not divisible by 3.
3) Since the sum is not divisible by 3, 2222 is not divisible by 333.
FAQs on Divisibility Rule of 333
1.What is the divisibility rule for 333?
2.How many numbers are there between 1 and 1000 that are divisible by 333?
3.Is 333 divisible by 333?
4.What if I get 0 after summing the digits?
5.Does the divisibility rule of 333 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 333?
7.What are some fun ways kids in United States can practice Divisibility Rule of 333 with numbers?
8.What role do numbers and Divisibility Rule of 333 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 333 skills?
Important Glossary for Divisibility Rule of 333
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 333 are 333, 666, 999, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Sum: The result of adding numbers together.
- Division: A mathematical operation where a number is divided into smaller parts.
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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.
