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126 LearnersLast updated on February 18th, 2025
Divisibility Rule of 928
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 928.
What is the Divisibility Rule of 928?
The divisibility rule for 928 is a method by which we can find out if a number is divisible by 928 or not without using the division method. Check whether 1856 is divisible by 928 with the divisibility rule.
Step 1: Identify if the number has 4 digits, as 928 is a 3-digit number. Here, 1856 has 4 digits. If a number has more than 3 digits, compare the last three digits with 928.
Step 2: Extract the last three digits (856) and check if they are divisible by 928. Since 856 is less than 928, it is not divisible.
Step 3: If the number was divisible, the whole number would be divisible by 928. Since 856 is not divisible by 928, neither is 1856.
Tips and Tricks for Divisibility Rule of 928
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 928.
Know the multiples of 928:
Memorize the multiples of 928 (928, 1856, 2784, 3712, etc.) to quickly check divisibility. If the extracted digits form a multiple of 928, the entire number is divisible by 928.
Use estimation for large numbers:
For large numbers, using estimation or rounding can help determine if the number is close to a multiple of 928 before applying the rule.
Repeat the process for very large numbers:
For numbers with more than six digits, extract the last three digits and check each segment of three digits from the left until all segments are checked. Continue until a pattern or result shows divisibility.
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 928
The divisibility rule of 928 helps us to quickly check if the given number is divisible by 928, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not comparing the correct number of digits.
Ensure to only compare the last three digits of the number with 928.
Divisibility Rule of 928 Examples
Problem 1
Is the number of pages in a book, 928, divisible by 928?
Yes, 928 is divisible by 928.
Explanation
Any number is divisible by itself. Therefore, the number of pages, 928, is divisible by 928.
Problem 2
A batch of 1856 cookies needs to be evenly distributed into boxes that can hold 928 cookies each. Can this be done without any leftover cookies?
Yes, 1856 is divisible by 928.
Explanation
Divide 1856 by 928, and you get 2. Thus, 1856 is exactly divisible by 928, meaning you can fill two boxes with no cookies left over.
Problem 3
A theater has 2784 seats. Can the theater be divided into 928-seat sections without leaving any seats empty?
Yes, 2784 is divisible by 928.
Explanation
When you divide 2784 by 928, the result is 3. Therefore, the theater can be divided into exactly three sections of 928 seats each.
Problem 4
A company ordered 4640 units of a product, and each shipment box can carry 928 units. Is it possible to fill the boxes completely?
No, 4640 is not divisible by 928.
Explanation
Dividing 4640 by 928 gives approximately 5.000. Therefore, only five boxes can be completely filled, and there will be a remainder of 160 units left unpacked.
Problem 5
A library needs to organize its books into sets of 928 for an event. If the library has 3712 books, can all books be organized without any left over?
Yes, 3712 is divisible by 928.
Explanation
When you divide 3712 by 928, it results in 4. Hence, the library can create exactly four complete sets of 928 books each with no remainder.
FAQs on Divisibility Rule of 928
1.What is the divisibility rule for 928?
2.How many numbers are there between 1 and 10,000 that are divisible by 928?
3.Is 3712 divisible by 928?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 928 apply to all integers?
Important Glossaries for Divisibility Rule of 928
- 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 928 are 928, 1856, 2784, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Estimation: A method used to find an approximate value or result.
- Verification: The process of confirming that a result or calculation is correct.
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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.
