152 LearnersLast updated on May 26th, 2025
Divisibility Rule of 82
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 82.
What is the Divisibility Rule of 82?
The divisibility rule for 82 is a method by which we can find out if a number is divisible by 82 or not without using the division method. Check whether 1640 is divisible by 82 with the divisibility rule.
Step 1: Divide the number into two parts, the last two digits and the remaining digits. Here in 1640, the last two digits are 40, and the remaining digits are 16.
Step 2: Multiply the remaining digits by 82, i.e., 16 × 82 = 1312.
Step 3: Add the result from Step 2 to the last two digits. i.e., 1312 + 40 = 1352.
Step 4: Check if 1352 is a multiple of 82. Since 1352 ÷ 82 = 16.5, it is not a whole number, so 1640 is not divisible by 82.
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Tips and Tricks for Divisibility Rule of 82
Learning the divisibility rule helps to master division. Let’s learn a few tips and tricks for the divisibility rule of 82.
Know the multiples of 82:
Memorize the multiples of 82 (82, 164, 246, 328, etc.) to quickly check divisibility. If the result from the addition is a multiple of 82, then the number is divisible by 82.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 82
The divisibility rule of 82 helps us quickly check if a given number is divisible by 82, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Incorrectly splitting the number.
Ensure to split the number correctly into the last two digits and the remaining digits.
Mistake 2
Forgetting to multiply by 82.
Remember to multiply the remaining digits by 82 before adding to the last two digits.
Mistake 3
Miscalculating the final sum.
Double-check the addition of the multiplied result and the last two digits.
Mistake 4
Not verifying with division.
Always verify the result using the division method to ensure accuracy.
Mistake 5
Confusing steps.
Practice regularly to avoid confusion and ensure understanding of the steps.
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Divisibility Rule of 82 Examples
Problem 1
Is 2460 divisible by 82?
Yes, 2460 is divisible by 82.
Explanation
To check the divisibility of 2460 by 82, follow these steps:
1) Break the number into smaller groups that add up to 82. Notice that 2460 can be split into 1640 and 820.
2) Check if each number is a multiple of 82. Both 1640 (82 x 20) and 820 (82 x 10) are multiples of 82.
3) Since both parts are divisible by 82, 2460 is divisible by 82.
Problem 2
Check the divisibility rule of 82 for 3276.
No, 3276 is not divisible by 82.
Explanation
To determine divisibility by 82 for 3276, follow these steps:
1) Break the number into smaller groups that might add up to 82. Use 3280 and subtract 4.
2) Check if 3280 is a multiple of 82. 3280 is 82 x 40, which is a multiple of 82.
3) Subtract 4 from 3280, resulting in 3276, which is not divisible by 82.
Problem 3
Is -492 divisible by 82?
No, -492 is not divisible by 82.
Explanation
To check if -492 is divisible by 82:
1) Remove the negative sign to focus on 492.
2) Break 492 into parts: 410 and 82.
3) 410 is not a multiple of 82, while 82 is 82 x 1.
4) Since not all parts are divisible by 82, -492 is not divisible by 82.
Problem 4
Can 164 be divisible by 82 following the divisibility rule?
Yes, 164 is divisible by 82.
Explanation
To determine if 164 is divisible by 82:
1) Break down the number: 164 equals 82 x 2.
2) Since 164 is exactly twice 82, it is divisible by 82.
Problem 5
Check the divisibility rule of 82 for 6724.
Yes, 6724 is divisible by 82.
Explanation
To check if 6724 is divisible by 82:
1) Break the number into smaller parts: 6724 can be divided into 6560 and 164.
2) 6560 is a multiple of 82 (82 x 80), and 164 is a multiple of 82 (82 x 2).
3) Since both parts are divisible by 82, 6724 is divisible by 82.
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FAQs on Divisibility Rule of 82
1.What is the divisibility rule for 82?
2.How many numbers are there between 1 and 1000 that are divisible by 82?
3.Is 328 divisible by 82?
4.What if I get 0 after the calculation?
5.Does the divisibility rule of 82 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 82?
7.What are some fun ways kids in United States can practice Divisibility Rule of 82 with numbers?
8.What role do numbers and Divisibility Rule of 82 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 82 skills?
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Important Glossaries for Divisibility Rule of 82
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 82 are 82, 164, 246, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of finding the total or sum by combining two or more numbers.
- Verification: The process of confirming the accuracy of a calculation using an alternative method, such as division.
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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.
