192 LearnersLast updated on May 26th, 2025
Divisibility Rule of 298
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 298.
What is the Divisibility Rule of 298?
The divisibility rule for 298 is a method by which we can find out if a number is divisible by 298 or not without using the division method. Check whether 596 is divisible by 298 with the divisibility rule.
Step 1: Find the difference between the number and twice the last three digits. Here in 596, the last three digits are 596. 2 × 596 = 1192.
Step 2: Subtract the result from Step 1 from the original number, i.e., 596 - 1192 = -596.
Step 3: As it is shown that -596 is a multiple of 298 (since 298 × -2 = -596), therefore, the number is divisible by 298. If the result from step 2 isn't a multiple of 298, then the number isn't divisible by 298.
Tips and Tricks for Divisibility Rule of 298
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 298.
Know the multiples of 298:
Memorize the multiples of 298 (298, 596, 894, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 298, then the number is divisible by 298.
Use 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 298. For example, check if 894 is divisible by 298 using the divisibility test. The difference between 894 and twice the last three digits, 894, is 894 - 2 × 894 = 0. As 0 is a multiple of 298, 894 is divisible by 298.
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 the Divisibility Rule of 298
The divisibility rule of 298 helps us to quickly check if the given number is divisible by 298, 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 that involve finding the difference between the number and twice the last three digits and checking whether it is a multiple of 298.
Mistake 2
Including incorrect digits in subtraction.
Students should keep in mind that they should use twice the last three digits for the subtraction.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 298.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 298 Examples
Problem 1
Is 596 divisible by 298?
Yes, 596 is divisible by 298.
Explanation
To determine if 596 is divisible by 298, we divide 596 by 298 directly. Since 596 ÷ 298 = 2 with no remainder, 596 is divisible by 298.
Problem 2
Check the divisibility rule of 298 for 894.
No, 894 is not divisible by 298.
Explanation
We check if 894 is divisible by 298. Divide 894 by 298 and check if there is a remainder. 894 ÷ 298 ≈ 3 with a remainder, so 894 is not divisible by 298.
Problem 3
Is -298 divisible by 298?
Yes, -298 is divisible by 298.
Explanation
To check if -298 is divisible by 298, we ignore the negative sign. Divide 298 by 298, which equals 1 with no remainder, hence -298 is divisible by 298.
Problem 4
Can 1490 be divisible by 298 following the divisibility rule?
No, 1490 is not divisible by 298.
Explanation
To check if 1490 is divisible by 298, divide 1490 by 298. The result is not a whole number, indicating that 1490 is not divisible by 298.
Problem 5
Check the divisibility rule of 298 for 2980.
Yes, 2980 is divisible by 298.
Explanation
To check if 2980 is divisible by 298, divide 2980 by 298. The result is a whole number, 10, with no remainder, confirming that 2980 is divisible by 298.
FAQs on Divisibility Rule of 298
1.What is the divisibility rule for 298?
2.How many numbers are there between 1 and 1000 that are divisible by 298?
3. Is 596 divisible by 298?
4. What if I get 0 after subtracting?
5.Does the divisibility rule of 298 apply to all the integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 298?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 298 with numbers?
8.What role do numbers and Divisibility Rule of 298 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 298 skills?
Important Glossaries for Divisibility Rule of 298
- 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 298 are 298, 596, 894, etc.
- Integers: Integers are 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: Verification is the process of confirming the accuracy of a result using a different method, such as division.
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About BrightChamps in United Kingdom
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.
