227 LearnersLast updated on May 26th, 2025
Divisibility Rule of 98
The divisibility rule is a way to determine whether a number is divisible by another number without performing an actual division. In real life, we use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 98.
What is the Divisibility Rule of 98?
The divisibility rule for 98 is a method by which we can ascertain if a number is divisible by 98 without using traditional division. Check whether 1176 is divisible by 98 using the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 49. A number is divisible by 98 if it is divisible by both of these numbers because 98=2×49.
Step 2: For divisibility by 2, the number should be even. Since 1176 ends in 6, it is an even number and thus divisible by 2.
Step 3: To check divisibility by 49, take the number's last two digits. Here, 76 is the last two digits. 76 is not divisible by 49.
Since 76 is not divisible by 49, 1176 is not divisible by 98.
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Tips and Tricks for Divisibility Rule of 98
Understanding the divisibility rule can help students master division. Let’s explore some tips and tricks for the divisibility rule of 98.
- Know the multiples of 98: Memorize the multiples of 98 (98, 196, 294, etc.) to quickly verify divisibility. If the result from the check is a multiple of 98, then the number is divisible by 98.
- Use the division method to verify: Students can use traditional division to verify and cross-check their results. This will help in verifying and learning.
- Repeat the process for large numbers: For larger numbers, keep applying the divisibility tests for 2 and 49 separately until you determine if it is divisible by both.
Common Mistakes and How to Avoid Them in Divisibility Rule of 98
The divisibility rule of 98 helps us quickly check if a given number is divisible by 98, but common mistakes can lead to incorrect conclusions. Here, we address some frequent errors to help you avoid them.
Mistake 1
Not checking divisibility by both 2 and 49.
Ensure you check divisibility by both 2 and 49, as a number must satisfy both to be divisible by 98.
Mistake 2
Forgetting to check the last two digits for divisibility by 49.
Always remember to verify the divisibility of the number formed by the last two digits by 49.
Mistake 3
Stopping the process too early.
Continue the process until you have verified divisibility by both 2 and 49.
Mistake 4
Confusing divisibility rules with other numbers.
Be clear about the specific rules for 98 and do not confuse them with rules for other numbers.
Mistake 5
Not repeating the process when the result is large.
Students often stop the process after they have got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 98.
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Divisibility Rule of 98 Examples
Problem 1
Is 196 divisible by 98?
Yes, 196 is divisible by 98.
Explanation
To check if 196 is divisible by 98, follow these steps:
1) Divide 196 by 98 directly: 196 ÷ 98 = 2.
2) Since the result is a whole number, 196 is divisible by 98.
Problem 2
Can 294 be checked for divisibility by 98 using any shortcuts?
Yes, 294 is divisible by 98.
Explanation
To determine if 294 is divisible by 98:
1) Divide 294 by 98 directly: 294 ÷ 98 = 3.
2) The result is a whole number, thus 294 is divisible by 98.
Problem 3
Is -490 divisible by 98?
Yes, -490 is divisible by 98.
Explanation
To check if -490 is divisible by 98, let's remove the negative sign and check the divisibility.
1) Divide 490 by 98: 490 ÷ 98 = 5.
2) The result is a whole number, so -490 is divisible by 98.
Problem 4
Check if 100 is divisible by 98.
No, 100 is not divisible by 98.
Explanation
To check if 100 is divisible by 98, perform the division:
1) Divide 100 by 98: 100 ÷ 98 ≈ 1.02.
2) The result is not a whole number, hence 100 is not divisible by 98.
Problem 5
Is 980 divisible by 98?
Yes, 980 is divisible by 98.
Explanation
To check the divisibility of 980 by 98, follow these steps:
1) Divide 980 by 98: 980 ÷ 98 = 10.
2) The result is a whole number, therefore 980 is divisible by 98.
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FAQs on Divisibility Rule of 98
1.What is the divisibility rule for 98?
2.How many numbers between 1 and 200 are divisible by 98?
3.Is 294 divisible by 98?
4.What if I get 0 after checking divisibility by 49?
5.Does the divisibility rule of 98 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 98?
7.What are some fun ways kids in United States can practice Divisibility Rule of 98 with numbers?
8.What role do numbers and Divisibility Rule of 98 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 98 skills?
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Important Glossaries for Divisibility Rule of 98
- Divisibility rule: The set of guidelines used to determine whether a number is divisible by another number without performing division.
- Multiple: A multiple is a product obtained by multiplying a number by an integer. For example, multiples of 98 are 98, 196, 294, etc.
- Even number: A number divisible by 2, such as 2, 4, 6, etc.
- Integer: Integers include all whole numbers, both positive and negative, as well as zero.
- Verification: The process of confirming the accuracy of a result through various methods, such as division.
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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.
