Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule 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.
The process involves checking the sum of the digits of the number, which simplifies the verification of divisibility.
Students should keep repeating the process of summing the digits until they reach a small sum that is easily checked for divisibility by 873.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
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.
Is the number of pages in a book, 873, divisible by 873?
Yes, 873 is divisible by 873.
Any number is divisible by itself. Therefore, 873 divided by 873 equals 1, confirming that 873 is divisible by 873.
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.
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.
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.
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.
Is a shipment of 6984 items divisible equally into crates, each containing 873 items?
No, 6984 is not divisible by 873.
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.
A concert hall has 8730 seats. Can these be grouped into sections of 873 seats each?
Yes, 8730 is divisible by 873.
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.
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.
: She loves to read number jokes and games.