170 LearnersLast updated on May 26th, 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
The divisibility rule of 830 helps quickly check if a given number is divisible by 830, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and how to avoid them:
Mistake 1
Not checking divisibility by 10.
Always remember to check if the number ends in zero before proceeding.
Divisibility Rule of 830 Examples
Problem 1
Is the number of pages in a book, 1660, divisible by 830?
Yes, 1660 is divisible by 830.
Explanation
To determine if 1660 pages can be evenly grouped into sections of 830 pages, we divide 1660 by 830. Since 1660 ÷ 830 = 2, with no remainder, the book can be divided into sections of 830 pages each
Problem 2
A warehouse has 2490 items. Can these items be evenly packed into boxes containing 830 items each?
No, 2490 is not divisible by 830.
Explanation
To check if 2490 items can be evenly packed into boxes of 830 items, divide 2490 by 830. The division results in 2490 ÷ 830 ≈ 3 with a remainder, indicating that 2490 is not divisible by 830.
Problem 3
Is a total of 4150 meters of cable divisible by 830 meters per coil?
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.
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.
No, 7470 is not divisible by 830.
Explanation
To determine if 7470 flyers can be distributed evenly, divide 7470 by 830. The division results in 7470 ÷ 830 ≈ 9 with a remainder, so the flyers cannot be evenly divided among the regions.
Problem 5
A shipment contains 9130 units that need to be packed into crates holding 830 units each. Can this be done evenly?
No, 9130 is not divisible by 830.
Explanation
Calculate 9130 ÷ 830 to see if the units can be evenly packed. The result is approximately 11 with a remainder, indicating that 9130 cannot be divided evenly into crates of 830 units each.
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?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 830?
7.What are some fun ways kids in United States can practice Divisibility Rule of 830 with numbers?
8.What role do numbers and Divisibility Rule of 830 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 830 skills?
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.
