198 LearnersLast updated on May 26th, 2025
Divisibility Rule of 648
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 648.
What is the Divisibility Rule of 648?
The divisibility rule for 648 is a method by which we can find out if a number is divisible by 648 without using the division method. Check whether 7776 is divisible by 648 with the divisibility rule.
Step 1: Check if the number is divisible by 8. For 7776, the last three digits are 776, which is divisible by 8 (since 776 ÷ 8 = 97).
Step 2: Check if the number is divisible by 81. Sum the digits of 7776: 7+7+7+6 = 27, which is divisible by 9 (since 27 ÷ 9 = 3). Since 81 is a power of 9, repeat the process: 2+7 = 9, which is divisible by 9.
Step 3: Since 7776 is divisible by both 8 and 81, it is divisible by 648.
Tips and Tricks for Divisibility Rule of 648
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 648.
- Know the multiples of 648: Memorize the multiples of 648 (648, 1296, 1944…etc.) to quickly check divisibility. If the result from the checks is a multiple of 648, then the number is divisible by 648.
- Use smaller checks: Break down the divisibility into smaller checks like checking for 8 and 81 separately, which are factors of 648.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is clearly divisible by 648. For example, check if 12960 is divisible by 648.
Check divisibility by 8: The last three digits, 960, are divisible by 8 (960 ÷ 8 = 120).
Check divisibility by 81: The sum of the digits, 1+2+9+6+0 = 18, which is divisible by 9.
Since 12960 is divisible by both 8 and 81, it is divisible by 648.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to confirm and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 648
The divisibility rule of 648 helps us quickly check if a given number is divisible by 648, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, including checking divisibility by both 8 and 81.
Mistake 2
Forgetting to check both conditions.
Remember that a number must be divisible by both 8 and 81 to be divisible by 648.
Mistake 3
Not repeating the process for large numbers.
Continue the divisibility checks until the number is clearly divisible by 648.
Mistake 4
Confusing factors of 648.
Remember that 648 is divisible by both 8 and 81, and use these factors for checking divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 648 Examples
Problem 1
Is the number of pages in a book, 1296, divisible by 648?
Yes, 1296 is divisible by 648.
Explanation
To check if 1296 is divisible by 648, divide 1296 by 648.
1) 1296 ÷ 648 = 2.
2) The result is an integer, so 1296 is divisible by 648.
Problem 2
A city has a total of 6480 streetlights. Can these be evenly distributed across 10 districts, each district having the same number of streetlights?
Yes, 6480 can be evenly distributed across 10 districts.
Explanation
To check if 6480 is divisible by 648, divide 6480 by 648.
1) 6480 ÷ 648 = 10.
2) The result is an integer, so 6480 is divisible by 648.
Problem 3
Is the product of a factory, which produces 2592 widgets, divisible by 648?
Yes, 2592 is divisible by 648.
Explanation
To check if 2592 is divisible by 648, divide 2592 by 648.
1) 2592 ÷ 648 = 4.
2) The result is an integer, so 2592 is divisible by 648.
Problem 4
An event has a turnout of 7776 attendees. Can these attendees be divided into groups of 648 without leaving anyone out?
Yes, 7776 can be divided into groups of 648.
Explanation
To check if 7776 is divisible by 648, divide 7776 by 648.
1) 7776 ÷ 648 = 12.
2) The result is an integer, so 7776 is divisible by 648.
Problem 5
A storage facility has a capacity of 5184 cubic units. Can this be divided into sections of 648 cubic units each?
Yes, 5184 can be divided into sections of 648 cubic units.
Explanation
To check if 5184 is divisible by 648, divide 5184 by 648.
1) 5184 ÷ 648 = 8.
2) The result is an integer, so 5184 is divisible by 648.
FAQs on Divisibility Rule of 648
1.What is the divisibility rule for 648?
2.How many numbers are there between 1 and 2000 that are divisible by 648?
3.Is 1296 divisible by 648?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 648 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 648?
7.What are some fun ways kids in United States can practice Divisibility Rule of 648 with numbers?
8.What role do numbers and Divisibility Rule of 648 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 648 skills?
Important Glossaries for Divisibility Rule of 648
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 648 are 648, 1296, 1944, etc.
- Factors: Numbers that can be multiplied together to get another number. For example, 8 and 81 are factors of 648.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
Explore More numbers
About BrightChamps in United States
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.
