217 LearnersLast updated on May 26th, 2025
Divisibility Rule of 432
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 432.
What is the Divisibility Rule of 432?
The divisibility rule for 432 is a method by which we can find out if a number is divisible by 432 or not without using the division method. Check whether 5184 is divisible by 432 with the divisibility rule.
Step 1: Check divisibility by 16: The last four digits of the number should be divisible by 16. For 5184, the last four digits are 5184, which is divisible by 16 (5184 ÷ 16 = 324).
Step 2: Check divisibility by 27: Sum the digits of the number and check if the result is divisible by 27. For 5184, the sum of the digits is 5 + 1 + 8 + 4 = 18. Since 18 is not divisible by 27, 5184 is not divisible by 432
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Tips and Tricks for Divisibility Rule of 432
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 432.
Know the multiples of 432:
Memorize the multiples of 432 (432, 864, 1296, 1728, etc.) to quickly check the divisibility. If the number is a multiple of 432, then it is divisible by 432.
Break down large numbers:
For large numbers, first, break them down by checking divisibility by smaller factors (16 and 27) of 432. If a number is divisible by both 16 and 27, it is divisible by 432.
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 432
The divisibility rule of 432 helps us quickly check if a given number is divisible by 432, 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 conditions.
Students should ensure they check divisibility by both 16 and 27 to confirm divisibility by 432.
Mistake 2
Incorrect addition of digits
Carefully add the digits when checking divisibility by 27 to avoid errors.
Mistake 3
Forgetting to verify with multiples.
Students should verify their results by checking against known multiples of 432.
Mistake 4
Confusing the divisibility rules for different factors.
Keep the rules for 16 and 27 separate and clear to avoid confusion.
Mistake 5
Not practicing enough.
Regular practice will help students remember and correctly apply the steps.
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Divisibility Rule of 432 Examples
Problem 1
Is 1728 divisible by 432?
Yes, 1728 is divisible by 432.
Explanation
To determine if 1728 is divisible by 432, we check the following:
1) Break 1728 into smaller components that are easier to manage, such as using prime factors or smaller multiples.
2) 1728 can be expressed as \( 432 \times 4 \), so it is exactly divisible by 432.
Problem 2
Check the divisibility rule of 432 for 3456.
Yes, 3456 is divisible by 432.
Explanation
To verify if 3456 is divisible by 432, follow these steps:
1) Split 3456 into smaller parts or use long division to divide 3456 by 432.
2) 3456 divided by 432 equals 8, which is a whole number, indicating 3456 is divisible by 432.
Problem 3
Is 2592 divisible by 432?
Yes, 2592 is divisible by 432.
Explanation
To check the divisibility of 2592 by 432, you can:
1) Use long division or factorization to simplify the process.
2) 2592 divided by 432 equals 6, a whole number, confirming that 2592 is divisible by 432.
Problem 4
Can 5000 be divisible by 432 following the divisibility rule?
No, 5000 is not divisible by 432.
Explanation
To determine if 5000 is divisible by 432, we perform the following:
1) Use long division to divide 5000 by 432.
2) The result is not a whole number, indicating that 5000 is not divisible by 432.
Problem 5
Check the divisibility rule of 432 for 864.
Yes, 864 is divisible by 432.
Explanation
To see if 864 is divisible by 432, perform the following calculation:
1) Divide 864 by 432 using simple division.
2) 864 divided by 432 equals 2, which is an integer, showing that 864 is divisible by 432.
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FAQs on Divisibility Rule of 432
1.What is the divisibility rule for 432?
2. How many numbers are there between 1 and 10000 that are divisible by 432?
3.Is 2592 divisible by 432?
4.What if the sum of the digits is less than 27?
5. Does the divisibility rule of 432 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 432?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 432 with numbers?
8.What role do numbers and Divisibility Rule of 432 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 432 skills?
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Important Glossaries for Divisibility Rule of 432
- 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 the number ends with an even digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 432 are 432, 864, 1296, etc.
- Factors: Factors are numbers we multiply together to get another number. For example, 16 and 27 are factors of 432.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits in a number. For example, the sum of the digits of 5184 is 5 + 1 + 8 + 4 = 18.
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About BrightChamps in Saudi Arabia
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.
