209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 234
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 234.
What is the Divisibility Rule of 234?
The divisibility rule for 234 is a method by which we can determine if a number is divisible by 234 or not without using the division method. Check whether 4680 is divisible by 234 using the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 13, since 234 = 2 × 3 × 13.
- For divisibility by 2, the last digit must be even. Here, the last digit of 4680 is 0, which is even.
- For divisibility by 3, the sum of the digits must be divisible by 3. The sum of the digits of 4680 is 4 + 6 + 8 + 0 = 18, which is divisible by 3.
- For divisibility by 13, divide the number by 13 directly or use shortcuts. 4680 divided by 13 gives a whole number (360).
Step 2: Since 4680 is divisible by 2, 3, and 13, it is divisible by 234
Tips and Tricks for Divisibility Rule of 234
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 234.
Know the factors:
Understand that checking divisibility by 234 involves checking divisibility by 2, 3, and 13.
Memorize key multiples:
Knowing multiples of 234 can help quickly verify divisibility.
Simplify large numbers:
Break down the number into smaller components to check for divisibility by factors.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 234
The divisibility rule of 234 helps us to quickly check if the given number is divisible by 234, 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.
Students should ensure they check divisibility by 2, 3, and 13 to confirm divisibility by 234.
Mistake 2
Incorrect sum calculations for divisibility by 3.
Double-check the sum of the digits and verify divisibility by 3.
Mistake 3
Stopping too soon when checking divisibility by 13.
Continue the process or use known shortcuts to check divisibility by 13
Mistake 4
Confusing the rules of divisibility.
Regular practice and careful adherence to the rules for each factor will help avoid confusion.
Divisibility Rule of 234 Examples
Problem 1
Is 468 divisible by 234?
Yes, 468 is divisible by 234.
Explanation
To check if 468 is divisible by 234:
1) Divide 468 by 234, which equals 2.
2) Since the result is an integer, 468 is divisible by 234.
Problem 2
Can 702 be divided by 234 without a remainder?
Yes, 702 is divisible by 234.
Explanation
To verify:
1) Divide 702 by 234, which gives 3.
2) The result is an integer, so 702 is divisible by 234.
Problem 3
Is -936 divisible by 234?
Yes, -936 is divisible by 234.
Explanation
For negative numbers:
1) Remove the negative sign and divide 936 by 234.
2) 936 ÷ 234 equals 4, an integer.
3) Therefore, -936 is divisible by 234.
Problem 4
Test the divisibility of 567 by 234.
No, 567 is not divisible by 234.
Explanation
To check:
1) Divide 567 by 234, which is approximately 2.42.
2) Since the result is not an integer, 567 is not divisible by 234.
Problem 5
Verify the divisibility of 1404 by 234.
Yes, 1404 is divisible by 234.
Explanation
To confirm:
1) Divide 1404 by 234, which equals 6.
2) The result is an integer, indicating that 1404 is divisible by 234.
FAQs on Divisibility Rule of 234
1.What is the divisibility rule for 234?
2.How many numbers are there between 1 and 1000 that are divisible by 234?
3. Is 468 divisible by 234?
4.What if I get 0 after checking divisibility?
5. Does the divisibility rule of 234 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 234?
7.What are some fun ways kids in United States can practice Divisibility Rule of 234 with numbers?
8.What role do numbers and Divisibility Rule of 234 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 234 skills?
Important Glossaries for Divisibility Rule of 234
- Divisibility Rule: The set of rules used to determine whether a number is divisible by another number without direct division.
- Factors: Numbers that are multiplied together to get another number (e.g., factors of 234 are 2, 3, and 13).
- Multiple: A number that can be divided by another number without leaving a remainder.
- Integer: Whole numbers, including positive, negative numbers, and zero.
- Sum: The result of adding numbers together, important for checking divisibility by 3.
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About BrightChamps in United States
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.
