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Last updated on February 17th, 2025

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Divisibility Rule of 432

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Foundation
Intermediate
Advance Topics

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.

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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

divisibility rule of 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.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 432

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Divisibility Rule of 432 Examples

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Problem 1

Is 1728 divisible by 432?

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Explanation

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Problem 2

Check the divisibility rule of 432 for 3456.

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Explanation

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Problem 3

Is 2592 divisible by 432?

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Explanation

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Problem 4

Can 5000 be divisible by 432 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 432 for 864.

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Explanation

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FAQs on Divisibility Rule of 432

1.What is the divisibility rule for 432?

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2. How many numbers are there between 1 and 10000 that are divisible by 432?

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3.Is 2592 divisible by 432?

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4.What if the sum of the digits is less than 27?

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5. Does the divisibility rule of 432 apply to all integers?

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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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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.

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Fun Fact

: She loves to read number jokes and games.

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