161 LearnersLast updated on May 26th, 2025
Divisibility Rule of 228
The divisibility rule is a way to determine 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 228.
What is the Divisibility Rule of 228?
The divisibility rule for 228 is a method by which we can find out if a number is divisible by 228 or not without using the division method. Check whether 684 is divisible by 228 with the divisibility rule.
Step 1: Check if the number is divisible by 2. All numbers ending in an even digit are divisible by 2. Here, 684 ends in 4, which is even.
Step 2: Check if the number is divisible by 3. Add the digits of the number: 6 + 8 + 4 = 18. Since 18 is divisible by 3, 684 is divisible by 3.
Step 3: Check if the number is divisible by 19. Use the rule where you multiply the last digit by 2, and then subtract it from the rest of the number. Here, the last digit is 4, so 4 × 2 = 8. Subtracting that from 68 (the remaining digits), we get 68 - 8 = 60. Since 60 is not divisible by 19, 684 is not divisible by 19.
Since 684 is not divisible by 19, it is not divisible by 228.
Tips and Tricks for Divisibility Rule of 228
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 228.
Know the factors of 228:
Memorize the factors of 228 (2, 3, 19) to quickly check divisibility. A number must be divisible by all these factors to be divisible by 228.
Repeat the process for large numbers:
Students should keep repeating the divisibility checks for each factor until they confirm divisibility by all factors.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This helps ensure accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 228
The divisibility rule of 228 helps us quickly check if a given number is divisible by 228, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors individually
Students should check divisibility by 2, 3, and 19 separately to ensure the number is divisible by 228.
Divisibility Rule of 228 Examples
Problem 1
Can 684 be divided evenly by 228?
Yes, 684 is divisible by 228.
Explanation
To determine if 684 is divisible by 228, we need to apply the divisibility rule for 228:
1) Divide 684 by 228 directly.
2) 684 ÷ 228 = 3, which is a whole number.
Therefore, 684 is divisible by 228.
Problem 2
Is 912 divisible by 228?
Yes, 912 is divisible by 228.
Explanation
To verify if 912 is divisible by 228:
1) Divide 912 by 228 directly.
2) 912 ÷ 228 = 4, which results in a whole number.
Therefore, 912 is divisible by 228.
Problem 3
Check if 456 is divisible by 228.
No, 456 is not divisible by 228.
Explanation
To check if 456 is divisible by 228:
1) Divide 456 by 228 directly.
2) 456 ÷ 228 = 2, but with a remainder.
Since there is a remainder, 456 is not divisible by 228.
Problem 4
Is 1140 divisible by 228?
Yes, 1140 is divisible by 228.
Explanation
o determine if 1140 is divisible by 228:
1) Divide 1140 by 228 directly.
2) 1140 ÷ 228 = 5, which results in a whole number.
Therefore, 1140 is divisible by 228.
Problem 5
Verify the divisibility of 342 by 228.
No, 342 is not divisible by 228.
Explanation
To verify if 342 is divisible by 228:
1) Divide 342 by 228 directly.
2) 342 ÷ 228 = 1, but with a remainder.
Since there is a remainder, 342 is not divisible by 228.
FAQs on Divisibility Rule of 228
1.What is the divisibility rule for 228?
2.How many numbers are there between 1 and 1000 that are divisible by 228?
3. Is 456 divisible by 228?
4.What if I get 0 after subtracting in the divisibility check for 19?
5. Does the divisibility rule of 228 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 228?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 228 with numbers?
8.What role do numbers and Divisibility Rule of 228 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 228 skills?
Important Glossaries for Divisibility Rule of 228
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that divide another number completely without leaving a remainder.
- Multiple: A number that can be divided by another number without a remainder.
- Even number: A number that is divisible by 2.
- Subtraction: The process of finding the difference between two numbers.
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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.
