167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 570
The divisibility rule is a way to determine 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 570.
What is the Divisibility Rule of 570?
The divisibility rule for 570 is a method by which we can find out if a number is divisible by 570 without using the division method. Check whether 2850 is divisible by 570 with the divisibility rule.
Step 1: Check divisibility by 2, 3, and 5:
- A number is divisible by 2 if its last digit is even. In 2850, 0 is the last digit, which is even.
- A number is divisible by 3 if the sum of its digits is divisible by 3. Sum of the digits of 2850 is 2 + 8 + 5 + 0 = 15, which is divisible by 3.
- A number is divisible by 5 if its last digit is 0 or 5. In 2850, the last digit is 0.
Step 2: Since 2850 is divisible by 2, 3, and 5, it is divisible by 570.
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Tips and Tricks for Divisibility Rule of 570
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 570.
- Know the factors of 570: Memorize the factors of 570, which are 2, 3, and 5. If a number is divisible by all three, it is divisible by 570.
- Use divisibility rules for factors: Apply divisibility rules for 2, 3, and 5 separately to simplify the process.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor until they reach a conclusion about the number's divisibility.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them confirm their findings and learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 570
The divisibility rule of 570 helps us quickly check if the given number is divisible by 570, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking all factors.
Students should ensure they check divisibility by 2, 3, and 5.
Mistake 2
Forgetting to repeat the process for large numbers.
Continue the process for each factor until you determine the number's divisibility.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid this, practice regularly.
Mistake 4
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Mistake 5
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Divisibility Rule of 570 Examples
Problem 1
Is 11,400 divisible by 570?
Yes, 11,400 is divisible by 570.
Explanation
To determine if 11,400 is divisible by 570, we can simplify the problem by checking divisibility by 10, 3, and 19, as 570 = 10 × 3 × 19.
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (1 + 1 + 4 + 0 + 0 = 6), and since 6 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 11,400 by 19, which gives exactly 600, so it is divisible by 19.
Since 11,400 is divisible by 10, 3, and 19, it is divisible by 570.
Problem 2
Check the divisibility rule of 570 for 3,420.
Yes, 3,420 is divisible by 570.
Explanation
To check if 3,420 is divisible by 570, we need to check divisibility by 10, 3, and 19.
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (3 + 4 + 2 + 0 = 9), and since 9 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 3,420 by 19, which gives exactly 180, so it is divisible by 19.
Since 3,420 is divisible by 10, 3, and 19, it is divisible by 570.
Problem 3
Is 5,700 divisible by 570?
Yes, 5,700 is divisible by 570.
Explanation
o determine if 5,700 is divisible by 570, we will verify divisibility by 10, 3, and 19.
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (5 + 7 + 0 + 0 = 12), and since 12 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 5,700 by 19, which gives exactly 300, so it is divisible by 19.
Since 5,700 is divisible by 10, 3, and 19, it is divisible by 570.
Problem 4
Can 2,850 be divisible by 570 following the divisibility rule?
No, 2,850 is not divisible by 570. No, 2,850 is not divisible by 570.
Explanation
To check if 2,850 is divisible by 570, we verify divisibility by 10, 3, and 19.
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (2 + 8 + 5 + 0 = 15), and since 15 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 2,850 by 19, which gives approximately 150, but not an integer, so it is not divisible by 19.
Since 2,850 is not divisible by 19, it is not divisible by 570.
Problem 5
Check the divisibility rule of 570 for 17,100.
Yes, 17,100 is divisible by 570.
Explanation
To determine if 17,100 is divisible by 570, we check divisibility by 10, 3, and 19.To determine if 17,100 is divisible by 570, we check divisibility by 10, 3, and 19.
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (1 + 7 + 1 + 0 + 0 = 9), and since 9 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 17,100 by 19, which gives exactly 900, so it is divisible by 19.
Since 17,100 is divisible by 10, 3, and 19, it is divisible by 570
1) Check divisibility by 10: The number ends in 0, so it is divisible by 10.
2) Check divisibility by 3: Sum the digits (1 + 7 + 1 + 0 + 0 = 9), and since 9 is divisible by 3, the number is divisible by 3.
3) Check divisibility by 19: Divide 17,100 by 19, which gives exactly 900, so it is divisible by 19.
Since 17,100 is divisible by 10, 3, and 19, it is divisible by 570
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FAQs on Divisibility Rule of 570
1. What is the divisibility rule for 570?
2.How many numbers are there between 1 and 1000 that are divisible by 570?
3.Is 1140 divisible by 570?
4.What if I get zero after checking divisibility by 2, 3, or 5?
5.Does the divisibility rule of 570 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 570?
7.What are some fun ways kids in United States can practice Divisibility Rule of 570 with numbers?
8.What role do numbers and Divisibility Rule of 570 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 570 skills?
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Important Glossaries for Divisibility Rule of 570
- Divisibility Rule: A set of rules used to determine whether a number is divisible by another number.
- Factors: Numbers that are multiplied together to obtain a product. For 570, these are 2, 3, and 5.
- Multiplication: The process of calculating the total of one number multiplied by another.
- Even Number: A number that is divisible by 2 without a remainder.
- Sum of Digits: The result of adding all the digits of a number.
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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.
Fun Fact
: She loves to read number jokes and games.
