186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 530
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 530.
What is the Divisibility Rule of 530?
The divisibility rule for 530 is a method by which we can find out if a number is divisible by 530 without using the division method. Check whether 1590 is divisible by 530 with the divisibility rule.
Step 1: Check divisibility by 10. Since 1590 ends in 0, it is divisible by 10.
Step 2: Check divisibility by 53. Break down the number into digits. Multiply the first digit by 1, the second digit by 4, and the third digit by 3. Add up these results.
For 159, calculate 1 × 1 + 5 × 4 + 9 × 3 = 1 + 20 + 27 = 48.
Step 3: Check if the sum from step 2 is divisible by 53. Since 48 is not divisible by 53, 1590 is not divisible by 530.
Tips and Tricks for Divisibility Rule of 530
Learning divisibility rules helps kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 530.
1. Know the multiples of 53:
Memorize the multiples of 53 (53, 106, 159, etc.) to quickly check divisibility. If the result from the addition is a multiple of 53, then the number is divisible by 530.
2. 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.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 530.
Common Mistakes and How to Avoid Them in Divisibility Rule of 530
The divisibility rule of 530 helps us to quickly check if the given number is divisible by 530, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are checking divisibility by 10 and then using the specified multiplication and addition pattern for 53.
Mistake 2
Incorrectly applying the multiplication pattern.
Ensure each digit is multiplied by the correct number before summing them up.
Mistake 3
Not repeating the process when the result is unclear.
Students often stop the process too early. The process should be repeated for each section of the number until complete clarity is achieved.
Mistake 4
Forgetting to verify with the division method.
Use the division method to confirm the result, which reinforces learning and ensures accuracy.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 530 Examples
Problem 1
Is the number 1060 divisible by 530?
Yes, 1060 is divisible by 530.
Explanation
To check if 1060 is divisible by 530, follow these steps:
1) Divide 1060 by 530: 1060 ÷ 530 = 2.
2) Check if the result is an integer. Yes, 2 is an integer.
Thus, 1060 is divisible by 530.
Problem 2
Check if 795 is divisible by 530.
No, 795 is not divisible by 530.
Explanation
To check the divisibility of 795 by 530:
1) Divide 795 by 530: 795 ÷ 530 ≈ 1.5.
2) The result is not an integer, so 795 is not divisible by 530.
Problem 3
Is -2650 divisible by 530?
Yes, -2650 is divisible by 530.
Explanation
To determine if -2650 is divisible by 530:
1) Remove the negative sign and divide: 2650 ÷ 530 = 5.
2) The result is an integer, so -2650 is divisible by 530.
Problem 4
Can 1590 be divisible by 530?
Yes, 1590 is divisible by 530.
Explanation
To check if 1590 is divisible by 530:
1) Divide 1590 by 530: 1590 ÷ 530 = 3.
2) The result is an integer, confirming that 1590 is divisible by 530.
Problem 5
Verify the divisibility of 4240 by 530.
Yes, 4240 is divisible by 530.
Explanation
o verify if 4240 is divisible by 530:
1) Divide 4240 by 530: 4240 ÷ 530 = 8.
2) The result is an integer, so 4240 is divisible by 530.
FAQs on Divisibility Rule of 530
1.What is the divisibility rule for 530?
2. How many numbers are there between 1 and 1000 that are divisible by 530?
3.Is 530 divisible by 530?
4.What if I get 0 after checking divisibility by 53?
5.Does the divisibility rule of 530 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 530?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 530 with numbers?
8.What role do numbers and Divisibility Rule of 530 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 530 skills?
Important Glossaries for Divisibility Rule of 530
- 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 530 are 530, 1060, 1590, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is the process of finding the total or sum by combining two or more numbers.
- Verification: The process of checking results to ensure accuracy, often using a different method such as direct 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.
Fun Fact
: She loves to read number jokes and games.
