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 864.
The divisibility rule for 864 is a method by which we can determine if a number is divisible by 864 without using the division method. Check whether 6912 is divisible by 864 with the divisibility rule.
Step 1: Check if the number is divisible by 8. For 6912, take the last three digits, 912, and see if it is divisible by 8. Since 912 ÷ 8 = 114, it is divisible by 8.
Step 2: Check if the number is divisible by 9. Add the digits of the number: 6 + 9 + 1 + 2 = 18. Since 18 is divisible by 9, the number is divisible by 9.
Step 3: Since 6912 is divisible by both 8 and 9, it is divisible by 864.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 864.
Memorize the multiples of 864 (864, 1728, 2592, etc.) to quickly check for divisibility.
If a number passes the divisibility test for both 8 and 9, it will be divisible by 864.
Students should keep repeating the divisibility process using the rules for 8 and 9 if they have a large number to check.
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 864 helps us to quickly check if a given number is divisible by 864, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
In a factory, a machine produces 864 widgets in one cycle. If the factory runs 5 cycles, is the total number of widgets produced divisible by 864?
Yes, the total number of widgets is divisible by 864.
The total number of widgets produced is 864 × 5 = 4320. Since 4320 is a result of multiplying 864 by an integer, it is divisible by 864.
A library has a collection of 1728 books, which it wants to distribute evenly across 2 shelves. Can the books be divided such that each shelf has exactly 864 books?
Yes, the books can be divided evenly.
1728 divided by 2 equals 864, which means each shelf will have 864 books, confirming that 1728 is divisible by 864.
A concert is planned, and the organizers have 3456 seats arranged in sections. If each section must have 864 seats, can the sections be evenly arranged?
Yes, the sections can be arranged evenly.
3456 divided by 864 equals 4, which shows that the seats can be evenly arranged into 4 sections, each with 864 seats.
A warehouse has a storage capacity of 2592 cubic meters. If each storage unit takes up 864 cubic meters, will the warehouse be fully utilized by the storage units?
Yes, the warehouse will be fully utilized.
2592 divided by 864 equals 3, indicating that the warehouse can be fully utilized with 3 storage units, each occupying 864 cubic meters.
A digital billboard displays 3456 ads per day. If each ad takes up 864 display slots, is the total number of ads divisible by 864?
Yes, the total number of ads is divisible by 864.
3456 divided by 864 equals 4, meaning the ads are perfectly divisible into sets of 864 display slots.