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115 LearnersLast updated on February 18th, 2025
Divisibility Rule of 982
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 982.
What is the Divisibility Rule of 982?
The divisibility rule for 982 is a method by which we can find out if a number is divisible by 982 or not without using the division method. Check whether 2946 is divisible by 982 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 2946, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit, i.e., 294–12 = 282.
Step 3: As it is shown that 282 is not a multiple of 982, therefore, the number is not divisible by 982. If the result from step 2 is a multiple of 982, then the number is divisible by 982.
Tips and Tricks for Divisibility Rule of 982
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for divisibility rule of 982.
Know the multiples of 982:
Memorize the multiples of 982 (982, 1964, 2946…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 982, then the number is divisible by 982.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 982. For example, check if 9820 is divisible by 982 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 982–0 = 982. As 982 is a multiple of 982, 9820 is divisible by 982.
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 982
The divisibility rule of 982 helps us to quickly check if the given number is divisible by 982, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digits and checking whether it is a multiple of 982.
Divisibility Rule of 982 Examples
Problem 1
Is 2946 divisible by 982?
Yes, 2946 is divisible by 982.
Explanation
To check if 2946 is divisible by 982, we perform the following steps:
1) Divide the number by 982 directly.
2) 2946 ÷ 982 = 3 exactly, with no remainder.
Therefore, 2946 is divisible by 982.
Problem 2
Can 5892 be divided by 982 without a remainder?
No, 5892 is not divisible by 982.
Explanation
To determine if 5892 is divisible by 982:
1) Divide 5892 by 982.
2) 5892 ÷ 982 = 6 with a remainder of 0.
Since there is a remainder, 5892 is not divisible by 982.
Problem 3
Is -1964 divisible by 982?
Yes, -1964 is divisible by 982.
Explanation
To check the divisibility of -1964 by 982, we ignore the negative sign and proceed:
1) Divide 1964 by 982.
2) 1964 ÷ 982 = 2 exactly, with no remainder.
Therefore, -1964 is divisible by 982.
Problem 4
Determine if 4910 can be evenly divided by 982.
No, 4910 is not divisible by 982.
Explanation
To check divisibility:
1) Divide 4910 by 982.
2) 4910 ÷ 982 = 5 with a remainder of 0.
As there is a remainder, 4910 is not divisible by 982.
Problem 5
Verify the divisibility of 8828 by 982.
Yes, 8828 is divisible by 982.
Explanation
To verify:
1) Divide 8828 by 982.
2) 8828 ÷ 982 = 9 exactly, with no remainder.
Therefore, 8828 is divisible by 982.
FAQs on Divisibility Rule of 982
1. What is the divisibility rule for 982?
2.How many numbers are there between 1 and 10000 that are divisible by 982?
3. Is 5892 divisible by 982?
4. What if I get 0 after subtracting?
5.Does the divisibility rule of 982 apply to all the integers?
Important Glossary for Divisibility Rule of 982
- 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 afterultiplying a number by an integer. For example, multiples of 982 are 982, 1964, 2946, 3928, etc.
- Integers: Integers are the 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.
- Verification: The process of confirming that a calculation or result is correct, often using a different method.
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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.
