167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 516
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 516.
What is the Divisibility Rule of 516?
The divisibility rule for 516 is a method by which we can find out if a number is divisible by 516 or not without using the division method. Check whether 1548 is divisible by 516 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 43. A number is divisible by 516 if it is divisible by these three factors (2, 3, and 43).
Step 2: For divisibility by 2, the last digit of the number should be even. In 1548, the last digit is 8, which is even, so it is divisible by 2.
Step 3: For divisibility by 3, the sum of the digits should be divisible by 3. The sum of the digits of 1548 is 1+5+4+8 = 18, which is divisible by 3.
Step 4: For divisibility by 43, divide the number by 43 and check for no remainder. 1548 divided by 43 is exactly 36 with no remainder, so it is divisible by 43.
Since 1548 is divisible by 2, 3, and 43, it is divisible by 516.
Tips and Tricks for Divisibility Rule of 516
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 516.
Know the multiples of 516: Memorize the multiples of 516 (516, 1032, 1548, etc.) to quickly check divisibility. If a number matches one of these multiples, it is divisible by 516.
Check divisibility by factors: To check divisibility by 516, ensure the number is divisible by 2, 3, and 43. Use the respective rules for each factor.
Combine steps for efficiency: Calculate divisibility by smaller factors (like 2 and 3) first, as they are easier to compute, then proceed to check divisibility by 43.
Use the division method to verify: Students can use the division method as a way to verify and cross-check their results, which will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 516
The divisibility rule of 516 helps us quickly check if the given number is divisible by 516, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking all factors.
Students should ensure that the number is divisible by 2, 3, and 43 to confirm divisibility by 516.
Mistake 2
Incorrectly summing digits for divisibility by 3.
Carefully sum the digits to check divisibility by 3.
Mistake 3
Forgetting to check divisibility by 43.
Remember to include divisibility by 43 in the process, as it is crucial for determining divisibility by 516.
Mistake 4
Not using the division method for verification.
Use the division method to confirm results, ensuring no remainder when dividing by 516.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; practicing regularly will help solidify understandin
Divisibility Rule of 516 Examples
Problem 1
Is the number of pages in a book, 1032, divisible by 516?
Yes, 1032 is divisible by 516.
Explanation
To determine if 1032 is divisible by 516:
1) Divide 1032 by 516.
2) The result is exactly 2, so there is no remainder.
3) Therefore, 1032 is divisible by 516.
Problem 2
Check if the number of seats in a theater, 1548, can be evenly divided by 516.
Yes, 1548 is divisible by 516.
Explanation
To verify divisibility:
1) Divide 1548 by 516.
2) The result is exactly 3, with no remainder.
3) Hence, 1548 is divisible by 516.
Problem 3
Is the total number of apples in a shipment, -2580, divisible by 516?
No, -2580 is not divisible by 516.
Explanation
To check if -2580 is divisible by 516:
1) Remove the negative sign and divide 2580 by 516.
2) The result is approximately 5, with a remainder.
3) Since there is a remainder, -2580 is not divisible by 516.
Problem 4
Can the number of minutes in a workweek, 2520, be divided by 516 without a remainder?
No, 2520 is not divisible by 516.
Explanation
To verify:
1) Divide 2520 by 516.
2) The result is approximately 4.88, indicating a remainder.
3) Therefore, 2520 is not divisible by 516.
Problem 5
Check if the number of kilometers in a marathon relay, 2064, is divisible by 516.
Yes, 2064 is divisible by 516.
Explanation
To determine divisibility:
1) Divide 2064 by 516.
2) The result is exactly 4, with no remainder.
3) Thus, 2064 is divisible by 516.
FAQs on Divisibility Rule of 516
1.What is the divisibility rule for 516?
2. How many numbers are there between 1 and 2000 that are divisible by 516?
3.Is 3096 divisible by 516?
4. What if I find a remainder when dividing by 43?
5.Does the divisibility rule of 516 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 516?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 516 with numbers?
8.What role do numbers and Divisibility Rule of 516 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 516 skills?
Important Glossaries for Divisibility Rule of 516
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.
- Factors: Numbers that divide another number exactly without leaving a remainder. For example, 2, 3, and 43 are factors of 516.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 516 are 516, 1032, 1548, etc.
- Remainder: The amount left over after division when one number does not divide another exactly.
- Verification: The process of confirming or validating results, often using a secondary method such as direct division.
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About BrightChamps in Philippines
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.
