156 LearnersLast updated on May 26th, 2025
Divisibility Rule of 816
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 816.
What is the Divisibility Rule of 816?
The divisibility rule for 816 is a method by which we can find out if a number is divisible by 816 or not without using the division method. Check whether 3264 is divisible by 816 with the divisibility rule.
Step 1: Check if the number is divisible by 8, 1, and 6 separately.
For 8: The last three digits should be divisible by 8. Here, 264 is divisible by 8 because 264 ÷ 8 = 33.
For 1: Any number is divisible by 1.
For 6: The number should be divisible by both 2 and 3. Here, 3264 is even (divisible by 2) and the sum of the digits (3 + 2 + 6 + 4 = 15) is divisible by 3.
Step 2: Since 3264 satisfies the conditions for 8, 1, and 6, it is divisible by 816.
Tips and Tricks for Divisibility Rule of 816
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 816.
Know the multiples of 816:
Memorize the multiples of 816 (816, 1632, 2448, ... etc.) to quickly check divisibility. If the conditions for 8, 1, and 6 are satisfied, the number is divisible by 816.
Use large numbers:
If dealing with large numbers, break down the rules into checking divisibility by 8, 1, and 6 separately.
Repeat the process for large numbers:
Students should keep checking the conditions for divisibility by 8, 1, and 6 until they reach a conclusion.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 816
The divisibility rule of 816 helps us quickly check if a given number is divisible by 816, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking each condition separately.
Students should check that the number is divisible by 8, 1, and 6 separately.
Mistake 2
Not checking the divisibility by 6 correctly.
Ensure the number is divisible by both 2 and 3 to satisfy divisibility by 6.
Mistake 3
Not considering the sum of digits for divisibility by 3.
Always add the digits to check if the sum is divisible by 3.
Mistake 4
Confusing the steps for divisibility by 8.
Remember to only check the last three digits for divisibility by 8.
Mistake 5
Overlooking the rules for large numbers.
Break down the process into smaller steps when dealing with large numbers.
Divisibility Rule of 816 Examples
Problem 1
Is 3264 divisible by 816?
Yes, 3264 is divisible by 816.
Explanation
To determine if 3264 is divisible by 816, we use the divisibility rule for 816.
First, check if the sum of the digits is divisible by 9, as 816 is a multiple of 9.
The sum of the digits, 3 + 2 + 6 + 4 = 15, is not divisible by 9.
But 3264 is a multiple of 816 when divided exactly, as 3264 ÷ 816 = 4.
Problem 2
Check the divisibility rule of 816 for 4896.
Yes, 4896 is divisible by 816.
Explanation
First, check if the sum of the digits is divisible by 9.
The sum of the digits of 4896 is 4 + 8 + 9 + 6 = 27, which is divisible by 9.
Next, see if 4896 is a multiple of 816 by dividing directly.
4896 ÷ 816 = 6.
Problem 3
Is 2448 divisible by 816?
Yes, 2448 is divisible by 816.
Explanation
To check, find the sum of the digits: 2 + 4 + 4 + 8 = 18.
Since 18 is divisible by 9, proceed to check division.
2448 ÷ 816 = 3, confirming divisibility by 816.
Problem 4
Can 1632 be divisible by 816 following the divisibility rule?
Yes, 1632 is divisible by 816.
Explanation
Sum the digits of 1632: 1 + 6 + 3 + 2 = 12.
Though 12 is not divisible by 9, we find that 1632 ÷ 816 = 2, confirming it is divisible by 816.
Problem 5
Check the divisibility rule of 816 for 6528.
Yes, 6528 is divisible by 816.
Explanation
The sum of the digits of 6528 is 6 + 5 + 2 + 8 = 21, which is not divisible by 9, but directly dividing shows 6528 ÷ 816 = 8, confirming divisibility.
FAQs on Divisibility Rule of 816
1.What is the divisibility rule for 816?
2.How many numbers are there between 1 and 10000 that are divisible by 816?
3.Is 4896 divisible by 816?
4.What if I get 0 after checking each condition?
5.Does the divisibility rule of 816 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 816?
7.What are some fun ways kids in United States can practice Divisibility Rule of 816 with numbers?
8.What role do numbers and Divisibility Rule of 816 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 816 skills?
Important Glossaries for Divisibility Rule of 816
- 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 816 are 816, 1632, 2448, ...
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Even Numbers: Even numbers are integers that are divisible by 2 without any remainder.
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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.
