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Last updated on March 29th, 2025

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Divisibility Rule of 571

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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 571.

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What is the Divisibility Rule of 571?

The divisibility rule for 571 is a method by which we can find out if a number is divisible by 571 or not without using the division method. Check whether 1142 is divisible by 571 with this divisibility rule.

Step 1: Divide the number into two parts: the last three digits and the rest of the number. Here, in 1142, 142 are the last three digits and 1 is the remaining part of the number.

Step 2: Multiply the remaining part of the number by a constant that, when added to the last three digits, makes the number divisible by 571. For simplicity, assume our constant is 2 for this step. 1 × 2 = 2.

Step 3: Add the result from Step 2 to the last three digits. Therefore, 142 + 2 = 144.

Step 4: Check if the result is divisible by 571. If it is, then the original number is divisible by 571. In this example, 144 is not divisible by 571, so 1142 is not divisible by 571.

divisibility rule of 571

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Tips and Tricks for Divisibility Rule of 571

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 571.

  • Know the multiples of 571: Memorize the multiples of 571 (571, 1142, 1713, 2284, etc.) to quickly check divisibility. If the result from the addition is a multiple of 571, then the number is divisible by 571.

 

  • Use positive numbers: If the result we get after the addition process is negative, we consider it as positive for checking the divisibility of a number.

 

  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a smaller number that is divisible by 571. 

 

  • 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 verify and learn.
     
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Common Mistakes and How to Avoid Them in Divisibility Rule of 571

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Divisibility Rule of 571 Examples

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Problem 1

Can 1142 be divisible by 571?

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Explanation

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Problem 2

Is 1713 divisible by 571 using the divisibility rule?

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Explanation

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Problem 3

Is 2284 divisible by 571?

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Explanation

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Problem 4

Check if 2855 is divisible by 571 using the divisibility rule.

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Explanation

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Problem 5

Is 3426 divisible by 571?

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Explanation

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FAQs on Divisibility Rule of 571

1.What is the divisibility rule for 571?

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2.How many numbers are there between 1 and 2000 that are divisible by 571?

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3.Is 1142 divisible by 571?

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4.What if I get 0 after adding?

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5.Does the divisibility rule of 571 apply to all integers?

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Important Glossaries for Divisibility Rule of 571

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

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 571 are 571, 1142, 1713, etc.

 

  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

 

  • Addition: Addition is the process of combining two or more numbers to get a total.

 

  • Constant: In this context, a constant is a fixed number used in calculations to check divisibility.
     
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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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