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122 LearnersLast updated on February 18th, 2025
Divisibility Rule of 984
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 984.
What is the Divisibility Rule of 984?
The divisibility rule for 984 is a method by which we can find out if a number is divisible by 984 or not without using the division method. Check whether 1968 is divisible by 984 with the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here, 1968 becomes 1,968.
Step 2: Check if each group of three digits is divisible by 984. Here, only one group, 968, needs to be checked.
Step 3: Since 968 is less than 984, and cannot be a multiple of 984, 1968 is not divisible by 984.
Tips and Tricks for Divisibility Rule of 984
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 984.
1. Know the multiples of 984:
Memorize multiples of 984 (984, 1968, 2952… etc.) to quickly check divisibility. If the group of three digits is a multiple of 984, then the number is divisible by 984.
2. Use the division method to verify:
You can use the division method as a way to verify and cross-check your results. This will help you verify and also learn.
3. Repeat the process for large numbers:
For large numbers, group the digits in sets of three and check each set for divisibility by 984.
Common Mistakes and How to Avoid Them in Divisibility Rule of 984
The divisibility rule of 984 helps us quickly check if a given number is divisible by 984, but common mistakes like calculation errors can lead to incorrect results. Here, we will understand some common mistakes that will help you avoid them.
Mistake 1
Not grouping digits correctly.
Ensure you group the digits from right to left into sets of three digits.
Divisibility Rule of 984 Examples
Problem 1
Is 1968 divisible by 984?
Yes, 1968 is divisible by 984.
Explanation
To check if 1968 is divisible by 984, we can break it down using logical reasoning.
1) Notice that 1968 is exactly double 984.
2) Therefore, 1968 ÷ 984 = 2, confirming it is divisible by 984.
Problem 2
Check the divisibility rule of 984 for 2952.
Yes, 2952 is divisible by 984.
Explanation
To determine if 2952 is divisible by 984:
1) Divide 2952 by 984, which results in exactly 3.
2) Therefore, 2952 ÷ 984 = 3, indicating divisibility.
Problem 3
Is 9840 divisible by 984?
Yes, 9840 is divisible by 984.
Explanation
To check divisibility of 9840 by 984:
1) Recognize that 9840 is a multiple of 984.
2) Direct division gives 9840 ÷ 984 = 10, confirming divisibility.
Problem 4
Can 5000 be divisible by 984 following the divisibility rule?
No, 5000 is not divisible by 984
Explanation
To check if 5000 is divisible by 984:
1) Perform a quick division: 5000 ÷ 984 ≈ 5.0813.
2) Since the result is not an integer, 5000 is not divisible by 984.
Problem 5
Check the divisibility rule of 984 for 19680.
Yes, 19680 is divisible by 984.
Explanation
To verify the divisibility of 19680 by 984:
1) Divide 19680 by 984, which results in exactly 20.
2) Therefore, 19680 ÷ 984 = 20, confirming divisibility.
FAQs on Divisibility Rule of 984
1. What is the divisibility rule for 984?
2. How many numbers are there between 1 and 10,000 that are divisible by 984?
3.Is 2952 divisible by 984?
4.What if I get 0 after checking a group of digits?
5. Does the divisibility rule of 984 apply to all integers?
Important Glossaries for Divisibility Rule of 984
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 984 are 984, 1968, 2952, etc.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Grouping: The process of dividing numbers into sets of three digits for checking divisibility.
- Verification: The process of checking the results using another method, such as actual division, to confirm correctness.
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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.
