229 LearnersLast updated on May 26th, 2025
Divisibility Rule of 521
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 521.
What is the Divisibility Rule of 521?
The divisibility rule for 521 is a method by which we can find out if a number is divisible by 521 or not without using the division method. Check whether 1563 is divisible by 521 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 1563, the last digit is 3, so multiply it by 2. 3 × 2 = 6.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 156 - 6 = 150.
Step 3: Divide the result from Step 2 by 521. If it divides evenly, the number is divisible by 521. In this case, 150 is not divisible evenly by 521, so 1563 is not divisible by 521.
Tips and Tricks for Divisibility Rule of 521
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 521.
Know the multiples of 521:
Memorize the multiples of 521 (521, 1042, 1563, 2084, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 521, then the number is divisible by 521.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 521
The divisibility rule of 521 helps us to quickly check if the given number is divisible by 521, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit by 2 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 521.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not verifying with division.
Always verify if a number is divisible by checking the division of the final result by 521.
Divisibility Rule of 521 Examples
Problem 1
Is 1563 divisible by 521?
Yes, 1563 is divisible by 521.
Explanation
To check if 1563 is divisible by 521, follow the divisibility check:
1) Multiply the last digit by a factor of the rule, 3 × 3 = 9.
2) Subtract this result from the remaining part of the number, 156 - 9 = 147.
3) Check if 147 is divisible by 521. Since 147 is divisible by 521 (521 × 0 + 147), 1563 is indeed divisible by 521.
Problem 2
Check the divisibility rule of 521 for 2084.
No, 2084 is not divisible by 521.
Explanation
To check the divisibility rule for 2084, proceed as follows:
1) Multiply the last digit by a factor of the rule, 4 × 3 = 12.
2) Subtract this result from the remaining number, 208 - 12 = 196.
3) Determine if 196 is divisible by 521. Since 196 is not divisible by 521, 2084 is not divisible by 521.
Problem 3
Is -3647 divisible by 521?
No, -3647 is not divisible by 521.
Explanation
To check the divisibility, ignore the negative sign and apply the rule:
1) Multiply the last digit by a factor, 7 × 3 = 21.
2) Subtract from the remaining digits, 364 - 21 = 343.
3) Verify divisibility of 343 by 521. Since 343 is not divisible by 521, -3647 is not divisible by 521.
Problem 4
Can 2605 be divisible by 521 following the divisibility rule?
No, 2605 is not divisible by 521.
Explanation
Apply the divisibility rule to 2605:
1) Multiply the last digit by a factor, 5 × 3 = 15.
2) Subtract from the remaining digits, 260 - 15 = 245.
3) Check if 245 is divisible by 521. Since 245 is not divisible by 521, 2605 is not divisible by 521.
Problem 5
Check the divisibility rule of 521 for 1563.
Yes, 1563 is divisible by 521.
Explanation
Apply the rule as follows:
1) Multiply the last digit by a factor, 3 × 3 = 9.
2) Subtract from the remaining digits, 156 - 9 = 147.
3) Since 147 is divisible by 521 (521 × 0 + 147), 1563 is indeed divisible by 521.
FAQs on Divisibility Rule of 521
1.What is the divisibility rule for 521?
2.How can I check if a large number is divisible by 521?
3. Does the divisibility rule of 521 apply to all integers?
4.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 521?
5.What are some fun ways kids in Indonesia can practice Divisibility Rule of 521 with numbers?
6.What role do numbers and Divisibility Rule of 521 play in helping children in Indonesia develop problem-solving skills?
7.How can families in Indonesia create number-rich environments to improve Divisibility Rule of 521 skills?
Important Glossaries for Divisibility Rule of 521
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 521 are 521, 1042, 1563, etc.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming results using another method, such as division, to ensure accuracy.
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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.
