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129 LearnersLast updated on February 17th, 2025
Divisibility Rule of 830
The divisibility rule is a way to determine whether a number is divisible by another number without actually performing the division. In real life, we can use divisibility rules for quick calculations, dividing things evenly, and organizing items. In this topic, we will learn about the divisibility rule of 830.
What is the Divisibility Rule of 830?
The divisibility rule for 830 is a method by which we can find out if a number is divisible by 830 without performing division. To check whether a number like 2490 is divisible by 830, follow these steps:
Step 1: Check if the number is divisible by 10. Since 830 ends in a zero, any number divisible by 830 must also be divisible by 10. For 2490, it ends in zero, so it is divisible by 10.
Step 2: Divide the number by 10, and check if the result is divisible by 83. For 2490, dividing by 10 gives 249.
Step 3: Check if 249 is divisible by 83. If it is, then the original number is divisible by 830. Since 249 divided by 83 equals 3 with no remainder, 2490 is divisible by 830.
Tips and Tricks for Divisibility Rule of 830
Understanding the divisibility rules will help in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 830.
Recognize the multiples of 83:
Memorize the multiples of 83 (83, 166, 249, etc.) to quickly check the divisibility. If the division result of Step 2 is a multiple of 83, then the number is divisible by 830.
Verify divisibility by smaller factors:
Since 830 is a product of 10 and 83, ensuring divisibility by both ensures divisibility by 830.
Repeat the process for large numbers:
If the number is large, repeat the process as necessary to verify divisibility by 830.
Use the division method to verify:
Verification using actual division can help confirm the results and reinforce learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 830
Divisibility Rule of 830 Examples
Problem 1
Is the number of pages in a book, 1660, divisible by 830?
Explanation
Problem 2
A warehouse has 2490 items. Can these items be evenly packed into boxes containing 830 items each?
Explanation
Problem 3
Is a total of 4150 meters of cable divisible by 830 meters per coil?
Explanation
Problem 4
Yes, 4150 is divisible by 830. Explanation: To verify if the cable length of 4150 meters can be divided into coils of 830 meters, calculate 4150 ÷ 830. The result is 5, with no remainder, meaning the entire length can be evenly divided into coils.
Explanation
Problem 5
A shipment contains 9130 units that need to be packed into crates holding 830 units each. Can this be done evenly?
Explanation
FAQs on Divisibility Rule of 830
1.What is the divisibility rule for 830?
2.Is 2490 divisible by 830?
3.What if a number does not end in zero?
4. Can the divisibility rule be used for negative numbers?
5.Does the divisibility rule of 830 apply to all integers?
Important Glossaries for Divisibility Rule of 830
- Divisibility Rule: The set of guidelines used to determine if one number is divisible by another without division.
- Multiples: Results obtained by multiplying a number by integers, such as multiples of 83 (83, 166, 249, etc.).
- Integer: A whole number that can be positive, negative, or zero.
- Division: The process of determining how many times one number is contained within another.
- Remainder: The portion left over after division when a number is not evenly divisible.
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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.
