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Last updated on February 14th, 2025

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Divisibility Rule of 567

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Intermediate
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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 567.

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What is the Divisibility Rule of 567?

The divisibility rule for 567 is a method by which we can find out if a number is divisible by 567 or not without using the division method. Check whether 5670 is divisible by 567 with the divisibility rule.

 

Step 1: Check if the number is divisible by 3. Calculate the sum of the digits of the number. If the sum of the digits is divisible by 3, proceed to the next step. For 5670, the sum is 5+6+7+0=18, which is divisible by 3.

 

Step 2: Check if the number is divisible by 9. Calculate the sum of the digits of the number again. If the sum is divisible by 9, proceed to the next step. For 5670, the sum is 18, which is divisible by 9.

 

Step 3: Check if the number is divisible by 21. Divide the number by 21. If there is no remainder, the number is divisible by 21. For 5670, 5670/21=270, which gives no remainder.

 

Since 5670 is divisible by 3, 9, and 21, it is divisible by 567.

divisibility rule of 567

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Tips and Tricks for Divisibility Rule of 567

Learning the divisibility rule helps in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 567.

 

  • Know the multiples of 567: Memorize the multiples of 567 (567, 1134, 1701, etc.) to quickly check divisibility.

 

  • Check for each factor: Ensure the number is divisible by 3, 9, and 21, as 567 = 3 × 9 × 21.

 

  • Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 567

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Divisibility Rule of 567 Examples

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Problem 1

Is 1701 divisible by 567?

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Explanation

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Problem 2

Determine if 1134 can be divided evenly by 567.

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Explanation

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Problem 3

Is 3402 divisible by 567?

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Explanation

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Problem 4

Can 2550 be divided by 567 without a remainder?

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Explanation

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Problem 5

Is 6804 divisible by 567 according to divisibility rules?

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Explanation

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FAQs on Divisibility Rule of 567

1.What is the divisibility rule for 567?

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2.How many numbers between 1 and 6000 are divisible by 567?

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3.Is 2268 divisible by 567?

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4.What if I get 0 after checking divisibility by 21?

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5.Does the divisibility rule of 567 apply to all integers?

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Important Glossaries for Divisibility Rule of 567

  • Divisibility Rule: The set of rules used to determine if a number is divisible by another number.

 

  • Multiple: The results obtained when a number is multiplied by an integer.

 

  • Integer: A number that includes all whole numbers, negative numbers, and zero.

 

  • Sum of Digits: The total obtained by adding the digits of a number.

 

  • Factor: A number that divides another number without leaving a remainder.
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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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