201 LearnersLast updated on May 26th, 2025
Divisibility Rule of 873
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 873.
What is the Divisibility Rule of 873?
The divisibility rule for 873 is a method by which we can find out if a number is divisible by 873 or not without using the division method. Check whether 8730 is divisible by 873 with the divisibility rule.
Step 1: Find the sum of the digits of the number. Here in 8730, the sum is 8 + 7 + 3 + 0 = 18.
Step 2: Check if the sum obtained in Step 1 is divisible by 873. Since 18 is not divisible by 873, 8730 is not divisible by 873.
Tips and Tricks for Divisibility Rule of 873
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 873.
Know the multiples of 873:
Memorize the multiples of 873 (873, 1746, 2619, 3492, etc.) to quickly check divisibility. If the sum of the digits is a multiple of 873, then the number is divisible by 873.
Use the sum of digits:
The process involves checking the sum of the digits of the number, which simplifies the verification of divisibility.
Repeat the process for large numbers:
Students should keep repeating the process of summing the digits until they reach a small sum that is easily checked for divisibility by 873.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 873
The divisibility rule of 873 helps us quickly check if a given number is divisible by 873, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the sum of digits correctly.
Students should ensure they correctly sum the digits of the number.
Mistake 2
Not verifying the divisibility of the sum by 873.
Students should check if the sum of the digits is actually divisible by 873.
Mistake 3
Miscalculating large numbers.
Break down large numbers into smaller parts, calculate the sum of digits, and verify divisibility.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them; to avoid error, students should practice regularly.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 873 Examples
Problem 1
Is the number of pages in a book, 873, divisible by 873?
Yes, 873 is divisible by 873.
Explanation
Any number is divisible by itself. Therefore, 873 divided by 873 equals 1, confirming that 873 is divisible by 873.
Problem 2
A library has 1746 books. Can these be perfectly grouped into 873 books per shelf without any books left over?
Yes, 1746 is divisible by 873.
Explanation
To check if 1746 is divisible by 873, divide 1746 by 873. The result is 2, indicating that the books can be grouped perfectly into 2 shelves of 873 books each without any remainder.
Problem 3
A garden plot measures 2619 square meters and needs to be divided into equal sections of 873 square meters. Is this possible?
Yes, 2619 is divisible by 873.
Explanation
Divide 2619 by 873 to check the divisibility. The result is 3, meaning the garden plot can be divided into 3 equal sections of 873 square meters each.
Problem 4
Is a shipment of 6984 items divisible equally into crates, each containing 873 items?
No, 6984 is not divisible by 873.
Explanation
Dividing 6984 by 873 gives approximately 8.000, indicating that while you can fill 8 crates, there will be no items left over. Therefore, 6984 is not perfectly divisible by 873.
Problem 5
A concert hall has 8730 seats. Can these be grouped into sections of 873 seats each?
Yes, 8730 is divisible by 873.
Explanation
To determine if 8730 is divisible by 873, divide 8730 by 873. The result is 10, indicating that the seats can be grouped perfectly into 10 sections of 873 seats each.
FAQs on Divisibility Rule of 873
1.What is the divisibility rule for 873?
2.How many numbers are there between 1 and 1000 that are divisible by 873?
3.Is 1746 divisible by 873?
4.What if I get a sum less than 873?
5.Does the divisibility rule of 873 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 873?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 873 with numbers?
8.What role do numbers and Divisibility Rule of 873 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 873 skills?
Important Glossaries for Divisibility Rule of 873
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Sum of Digits: The total obtained by adding all the digits of a number.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 873 are 873, 1746, 2619, etc.
- Verification: The process of confirming whether the number follows the divisibility rule correctly.
- Integer: A whole number that can be positive, negative, or zero.
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About BrightChamps in United Kingdom
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.
