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Last updated on February 14th, 2025

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Divisibility Rule of 568

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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 568.

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What is the Divisibility Rule of 568?

The divisibility rule for 568 is a method by which we can determine if a number is divisible by 568 without using the division method. Check whether 2272 is divisible by 568 with the divisibility rule.

 

Step 1: Multiply the last digit of the number by 3, here in 2272, 2 is the last digit. Multiply it by 3. 2 × 3 = 6

 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 227 - 6 = 221.

 

Step 3: Check if 221 is divisible by 4 and 71 (since 568 = 4 × 71). As it is shown that 221 is not a multiple of 4, the number is not divisible by 568. If the result from step 2 were divisible by both 4 and 71, then the number would be divisible by 568.

divisibility rule of 568

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Tips and Tricks for Divisibility Rule of 568

Learning the divisibility rule helps kids master division. Let's learn a few tips and tricks for the divisibility rule of 568.

 

 

  • Know the factors of 568: Memorize the factors of 568 (4 and 71) to quickly check divisibility. If the result from subtraction is divisible by both, then the number is divisible by 568.

 

 

  • Simplify using smaller numbers: If the result we get after subtraction is a smaller number, it is easier to check its divisibility by the factors of 568.

 

 

  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a smaller number that can easily be checked for divisibility by 4 and 71. 

 

  • 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 to verify and also learn.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 568

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Divisibility Rule of 568 Examples

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Problem 1

Is 1704 divisible by 568?

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Explanation

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Problem 2

Check the divisibility rule of 568 for 3408.

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Explanation

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Problem 3

Is 2272 divisible by 568?

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Explanation

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Problem 4

Can 3000 be divisible by 568 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 568 for 1136.

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Explanation

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FAQs on Divisibility Rule of 568

1.What is the divisibility rule for 568?

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2.How many numbers are there between 1 and 1000 that are divisible by 568?

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3.Is 1136 divisible by 568?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 568 apply to all integers?

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Important Glossaries for Divisibility Rule of 568

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Factors: Factors are numbers that divide another number completely without leaving a remainder. For example, factors of 568 are 1, 2, 4, 71, 142, 284, 568.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 568 are 568, 1136, 1704, etc.

 

  • Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

 

  • Verification: The process of confirming the accuracy of a result, often by using an alternate method such as division.
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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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