189 LearnersLast updated on May 26th, 2025
Divisibility Rule of 822
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 822.
What is the Divisibility Rule of 822?
The divisibility rule for 822 is a method by which we can determine if a number is divisible by 822 without using the division method. Check whether 1644 is divisible by 822 using the divisibility rule.
Step 1: Divide the number into two parts: the last three digits and the remaining digits. Here in 1644, 644 is the last part and 1 is the remaining part.
Step 2: Add the two parts together. 1 + 644 = 645.
Step 3: Check if 645 is a multiple of 822. If it is, then the original number is divisible by 822. If 645 is not a multiple of 822, then the number isn't divisible by 822.
Tips and Tricks for Divisibility Rule of 822
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 822.
Know the multiples of 822:
Memorize the multiples of 822 (822, 1644, 2466, etc.) to quickly check divisibility. If the result from the addition is a multiple of 822, then the number is divisible by 822.
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 822
The divisibility rule of 822 helps us quickly check if a given number is divisible by 822, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by dividing the number into the last three digits and the remaining digits, adding them together, and checking whether the sum is a multiple of 822.
Mistake 2
Using incorrect parts for addition.
Students should ensure they correctly identify the last three digits and the remaining digits before proceeding with the addition.
Mistake 3
Miscalculating sums.
Careful calculation of the sum is essential. It's important to double-check your work.
Mistake 4
Not considering large numbers.
For large numbers, students should still apply the rule correctly, ensuring they handle each part of the number appropriately.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. Regular practice can help avoid this error.
Divisibility Rule of 822 Examples
Problem 1
Is 1644 divisible by 822?
Yes, 1644 is divisible by 822.
Explanation
To determine if 1644 is divisible by 822, we double-check by dividing directly.
1) Divide 1644 by 822, which results in 2.
2) Since 1644 ÷ 822 equals an integer, 1644 is divisible by 822.
Problem 2
Check the divisibility rule of 822 for 2466.
Yes, 2466 is divisible by 822.
Explanation
To verify if 2466 is divisible by 822:
1) Divide 2466 by 822, which results in 3.
2) Since 2466 ÷ 822 equals an integer, 2466 is divisible by 822.
Problem 3
Is -8220 divisible by 822?
Yes, -8220 is divisible by 822.
Explanation
To check if -8220 is divisible by 822:
1) Divide 8220 by 822, which results in 10.
2) Since -8220 ÷ 822 equals an integer (negative is just a sign), -8220 is divisible by 822.
Problem 4
Can 987 be divisible by 822 following the divisibility rule?
No, 987 is not divisible by 822.
Explanation
To check if 987 is divisible by 822:
1) Divide 987 by 822, which results in approximately 1.201.
2) Since the result is not an integer, 987 is not divisible by 822.
Problem 5
Check the divisibility rule of 822 for 8220.
Yes, 8220 is divisible by 822.
Explanation
To see if 8220 is divisible by 822:
1) Divide 8220 by 822, which results in 10.
2) Since 8220 ÷ 822 equals an integer, 8220 is divisible by 822
FAQs on Divisibility Rule of 822
1.What is the divisibility rule for 822?
2.How many numbers are there between 1 and 5000 that are divisible by 822?
3. Is 2466 divisible by 822?
4.What if I get 0 after addition?
5.Does the divisibility rule of 822 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 822?
7.What are some fun ways kids in United States can practice Divisibility Rule of 822 with numbers?
8.What role do numbers and Divisibility Rule of 822 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 822 skills?
Important Glossaries for Divisibility Rule of 822
- 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 822 are 822, 1644, 2466, etc.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Addition: Addition is the process of calculating the total of two or more numbers.
- Parts: In the context of the divisibility rule, parts refer to sections of a number used to apply the rule, such as the last three digits and the remaining digits.
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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.
