222 LearnersLast updated on May 26th, 2025
Divisibility Rule of 468
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 468.
What is the Divisibility Rule of 468?
The divisibility rule for 468 is a method by which we can find out if a number is divisible by 468 or not without using the division method. Check whether 936 is divisible by 468 with the divisibility rule.
Step 1: Divide the number by 468. If the result is a whole number, then the original number is divisible by 468. In this case, 936 ÷ 468 = 2, which is an integer.
Step 2: Therefore, 936 is divisible by 468.
Tips and Tricks for Divisibility Rule of 468
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 468.
- Know the factors of 468: 468 = 2 × 2 × 3 × 3 × 13. A number must be divisible by each of these factors for it to be divisible by 468.
- Use the factorization method: By checking divisibility by 2, 3, and 13, you can quickly determine if a number is divisible by 468.
- Repeat the process for large numbers: Students should keep checking divisibility by each factor until they reach a conclusion.
For example: Check if 5616 is divisible by 468 using factors. Step 1: Check divisibility by 2 (last digit even: 6), by 3 (sum of digits 5+6+1+6=18, divisible by 3), and by 13 (5616 ÷ 13 = 432, which is an integer). Step 2: 5616 is divisible by 468 because it passes all factor checks.
- 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 468
The divisibility rule of 468 helps us quickly check if the given number is divisible by 468, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve checking divisibility by each factor of 468.
Mistake 2
Forgetting to check all factors.
Students should remember to check divisibility by 2, 3, and 13 to ensure the number is divisible by 468.
Mistake 3
Not repeating the factor checks for large numbers.
Students often stop the process prematurely; the process should be repeated for all factors.
Mistake 4
Misinterpretation of results.
Ensure you understand when a number is divisible by 468 by confirming divisibility by each factor.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; practicing regularly helps avoid errors.
Divisibility Rule of 468 Examples
Problem 1
Can 2808 be divided by 468 using its divisibility rule?
Yes, 2808 is divisible by 468.
Explanation
To determine if 2808 is divisible by 468, we need to break it down into a series of checks.
1) Check divisibility by 2: The number ends in 8, which is even, so it’s divisible by 2.
2) Check divisibility by 3: Sum the digits, 2 + 8 + 0 + 8 = 18, and since 18 is divisible by 3, so is 2808.
3) Check divisibility by 9: Sum the digits again, 18 is divisible by 9, so 2808 is also divisible by 9.
4) Check divisibility by 13: Divide 2808 by 13, which equals exactly 216. Thus, it’s divisible by 13.
Since 2808 meets all these criteria, it is divisible by 468.
Problem 2
Is 936 divisible by 468?
Yes, 936 is divisible by 468.
Explanation
To check divisibility:
1) Check divisibility by 2: The last digit is 6, an even number, so 936 is divisible by 2.
2) Check divisibility by 3: Sum of the digits is 9 + 3 + 6 = 18, and 18 is divisible by 3.
3) Check divisibility by 9: The sum of the digits is 18, which is divisible by 9.
4) Check divisibility by 13: Dividing 936 by 13 gives exactly 72, so it’s divisible by 13.
Since 936 satisfies all these conditions, it is divisible by 468.
Problem 3
Is 1872 divisible by 468?
Yes, 1872 is divisible by 468.
Explanation
To check:
1) Check divisibility by 2: The last digit is 2, which is even, so 1872 is divisible by 2.
2) Check divisibility by 3: Sum of the digits is 1 + 8 + 7 + 2 = 18, and 18 is divisible by 3.
3) Check divisibility by 9: The sum of the digits is 18, which is divisible by 9.
4) Check divisibility by 13: Dividing 1872 by 13 gives exactly 144, confirming divisibility by 13.
Thus, 1872 is divisible by 468.
Problem 4
Is 2340 divisible by 468?
No, 2340 is not divisible by 468.
Explanation
To verify:
1) Check divisibility by 2: The last digit is 0, so 2340 is divisible by 2.
2) Check divisibility by 3: Sum of the digits is 2 + 3 + 4 + 0 = 9, and 9 is divisible by 3.
3) Check divisibility by 9: The sum of the digits is 9, which is divisible by 9.
4) Check divisibility by 13: Dividing 2340 by 13 gives approximately 180, not an integer.
Since 2340 does not meet the divisibility condition for 13, it is not divisible by 468.
Problem 5
Can 4680 be checked for divisibility by 468?
Yes, 4680 is divisible by 468.
Explanation
To confirm:
1) Check divisibility by 2: The last digit is 0, an even number, so it’s divisible by 2.
2) Check divisibility by 3: Sum of the digits is 4 + 6 + 8 + 0 = 18, which is divisible by 3.
3) Check divisibility by 9: The sum is 18, divisible by 9.
4) Check divisibility by 13: Dividing 4680 by 13 gives exactly 360, confirming divisibility by 13.
Thus, 4680 is divisible by 468.
FAQs on Divisibility Rule of 468
1.What is the divisibility rule for 468?
2.How many numbers are there between 1 and 1000 that are divisible by 468?
3.Is 936 divisible by 468?
4.What if a number is divisible by only some factors of 468?
5.Does the divisibility rule of 468 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 468?
7.What are some fun ways kids in United States can practice Divisibility Rule of 468 with numbers?
8.What role do numbers and Divisibility Rule of 468 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 468 skills?
Important Glossaries for Divisibility Rule of 468
- Divisibility rule: A set of rules used to find out whether a number is divisible by another without performing division.
- Factors: Numbers that multiply together to give another number. For 468, the factors are 2, 3, and 13.
- Integer: A whole number that can be positive, negative, or zero.
- Factorization: The process of breaking down a number into its factors.
- Division: The process of determining how many times one number is contained within another.
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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.
