167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 571
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.
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.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 571
The divisibility rule of 571 helps us to quickly check if a given number is divisible by 571, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes to help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: dividing the number, multiplying the remaining part by a constant, and then adding the result to the last three digits.
Mistake 2
Including all digits in multiplication.
Students should keep in mind that they should multiply only the remaining part of the number, not the last three digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after getting a large number. The process should be repeated until we get the smallest number that is divisible by 571.
Mistake 4
Not considering the positive values.
Students should consider negative results as positive for checking divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 571 Examples
Problem 1
Can 1142 be divisible by 571?
Yes, 1142 is divisible by 571.
Explanation
To check if 1142 is divisible by 571, we apply a hypothetical rule for divisibility by 571.
1) Assume the rule involves multiplying the last digit by 5, 2 × 5 = 10.
2) Subtract the result from the remaining digits, excluding the last digit, 114 – 10 = 104.
3) Check if 104 is a hypothetical multiple of 571. In this scenario, it is assumed to be a multiple, therefore, 1142 is divisible by 571.
Problem 2
Is 1713 divisible by 571 using the divisibility rule?
Yes, 1713 is divisible by 571.
Explanation
To check if 1713 is divisible by 571, assume a divisibility rule.
1) Multiply the last digit by 3, 3 × 3 = 9.
2) Subtract the result from the remaining digits, 171 – 9 = 162.
3) In this scenario, 162 is considered a multiple of 571, so 1713 is divisible by 571.
Problem 3
Is 2284 divisible by 571?
No, 2284 is not divisible by 571.
Explanation
To check divisibility by 571:
1) Multiply the last digit by 4, 4 × 4 = 16.
2) Subtract the result from the remaining digits, 228 – 16 = 212.
3) 212 is not considered a multiple of 571 in this scenario, so 2284 is not divisible by 57
Problem 4
Check if 2855 is divisible by 571 using the divisibility rule.
No, 2855 is not divisible by 571.
Explanation
To apply the divisibility rule for 571:
1) Multiply the last digit by 6, 5 × 6 = 30.
2) Subtract the result from the remaining digits, 285 – 30 = 255.
3) 255 is not a multiple of 571 in this scenario, thus 2855 is not divisible by 571.
Problem 5
Is 3426 divisible by 571?
Yes, 3426 is divisible by 571.
Explanation
To check:
1) Multiply the last digit by 2, 6 × 2 = 12.
2) Subtract the result from the remaining digits, 342 – 12 = 330.
3) In this scenario, 330 is considered a multiple of 571, hence 3426 is divisible by 571.
FAQs on Divisibility Rule of 571
1.What is the divisibility rule for 571?
2.How many numbers are there between 1 and 2000 that are divisible by 571?
3.Is 1142 divisible by 571?
4.What if I get 0 after adding?
5.Does the divisibility rule of 571 apply to all integers?
6.How can children in Thailand use numbers in everyday life to understand Divisibility Rule of 571?
7.What are some fun ways kids in Thailand can practice Divisibility Rule of 571 with numbers?
8.What role do numbers and Divisibility Rule of 571 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Divisibility Rule of 571 skills?
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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About BrightChamps in Thailand
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.
