214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 828
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 828.
What is the Divisibility Rule of 828?
The divisibility rule for 828 is a method by which we can find out if a number is divisible by 828 or not without using the division method. Check whether 1656 is divisible by 828 with the divisibility rule.
Step 1: Divide the number by 828 directly without performing long division. If it divides evenly, it means the number is divisible by 828. For example, check 1656 ÷ 828.
Step 2: If the quotient is an integer, then 1656 is divisible by 828. If not, it isn't divisible by 828.
Tips and Tricks for Divisibility Rule of 828
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 828.
Know the multiples of 828:
Memorize the multiples of 828 (828, 1656, 2484, 3312, etc.) to quickly check divisibility. If the result from the division is a multiple of 828, then the number is divisible by 828.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 828
The divisibility rule of 828 helps us quickly check if a given number is divisible by 828, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes to help you avoid them.
Mistake 1
Not attempting direct division.
Students should attempt direct division of the number by 828 to check divisibility.
Mistake 2
Confusing divisibility with other rules.
Focus on the specific rule of directly checking if the number divides evenly by 828.
Mistake 3
Not using accurate estimation.
Ensure accurate estimation by rounding numbers appropriately and using known multiples of 828.
Mistake 4
Miscalculating during division.
Carefully perform calculations or use a calculator for accuracy.
Mistake 5
Ignoring remainders.
Always check for remainders when dividing by 434; a remainder indicates the number is not divisible by 828.
Divisibility Rule of 828 Examples
Problem 1
Is the number of pages in a book, 1656, divisible by 828?
Yes, 1656 is divisible by 828.
Explanation
To check if 1656 is divisible by 828, follow these steps:
1) Divide 1656 by 828 and check if the result is a whole number.
2) 1656 ÷ 828 = 2, which is a whole number with no remainder.
Therefore, 1656 is divisible by 828.
Problem 2
A factory produces 3312 widgets. Can these widgets be evenly distributed into boxes containing 828 each?
Yes, 3312 is divisible by 828.
Explanation
To determine if 3312 widgets can be evenly divided into boxes of 828:
1) Divide 3312 by 828.
2) 3312 ÷ 828 = 4, which is a whole number with no remainder.
Thus, the widgets can be evenly distributed into boxes.
Problem 3
A storage tank holds 2484 liters of liquid. Is this amount perfectly divisible into smaller containers of 828 liters each?
Yes, 2484 is divisible by 828.
Explanation
To verify if 2484 liters can be divided into containers of 828 liters:
1) Calculate 2484 ÷ 828.
2) 2484 ÷ 828 = 3, which is a whole number with no remainder.
Therefore, the liquid can be perfectly divided into 828-liter containers.
Problem 4
Can a ladder of 4968 steps be divided into equal sections of 828 steps?
Yes, 4968 is divisible by 828.
Explanation
To check if the ladder with 4968 steps can be divided into sections of 828:
1) Calculate 4968 ÷ 828.
2) 4968 ÷ 828 = 6, which is a whole number with no remainder.
So, the ladder can be divided into equal sections of 828 steps.
Problem 5
Is the total number of 5796 bricks in a wall divisible by 828?
Yes, 5796 is divisible by 828.
Explanation
To determine if 5796 bricks can be divided evenly into groups of 828:
1) Compute 5796 ÷ 828.
2) 5796 ÷ 828 = 7, which is a whole number with no remainder.
Thus, the wall's bricks can be divided evenly into groups of 828.
FAQs on Divisibility Rule of 828
1.What is the divisibility rule for 828?
2. How many numbers are there between 1 and 5000 that are divisible by 828?
3. Is 3312 divisible by 828?
4.What if I get a remainder after dividing?
5.Does the divisibility rule of 828 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 828?
7.What are some fun ways kids in India can practice Divisibility Rule of 828 with numbers?
8.What role do numbers and Divisibility Rule of 828 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 828 skills?
Important Glossaries for Divisibility Rule of 828
- 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 828 are 828, 1656, 2484, 3312, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is a mathematical operation where a number is divided into equal parts.
- Quotient: The result obtained by dividing one number by another.
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About BrightChamps in India
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.
