184 LearnersLast updated on May 26th, 2025
Divisibility Rule of 498
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 498.
What is the Divisibility Rule of 498?
The divisibility rule for 498 is a method by which we can find out if a number is divisible by 498 or not without using the division method. Check whether 996 is divisible by 498 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 3. Since 498 is divisible by these numbers, a number divisible by 498 must also be divisible by 2 and 3.
For divisibility by 2: The last digit of the number should be even. In 996, the last digit is 6, which is even.
For divisibility by 3: The sum of the digits should be divisible by 3. The sum of the digits of 996 is 9 + 9 + 6 = 24, which is divisible by 3.
Since 996 passes both conditions, it is divisible by 498.
Tips and Tricks for Divisibility Rule of 498
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 498.
- Know the multiples of 498: Memorize the multiples of 498 (498, 996, 1494, etc.) to quickly check divisibility. If the number equals any multiple of 498, it is divisible.
- Check divisibility by factors: Since 498 = 2 × 3 × 83, ensure the number meets divisibility rules for each of these factors.
- Use the division method to verify: While the divisibility rule provides a quick check, using the division method can verify and crosscheck results and help in learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 498
The divisibility rule of 498 helps to quickly check if a given number is divisible by 498, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by all factors.
Ensure the number is divisible by 2, 3, and 83, as 498 is their product.
Divisibility Rule of 498 Examples
Problem 1
Is 2490 divisible by 498?
Yes, 2490 is divisible by 498.
Explanation
To determine if 2490 is divisible by 498:
1) Divide 2490 by 498 to see if the result is an integer.
2) 2490 ÷ 498 = 5.
3) Since the result is an integer, 2490 is divisible by 498.
Problem 2
Check the divisibility rule of 498 for 996.
Yes, 996 is divisible by 498.
Explanation
To verify if 996 is divisible by 498:
1) Divide 996 by 498.
2) 996 ÷ 498 = 2.
3) As the result is a whole number, 996 is divisible by 498.
Problem 3
Is -1494 divisible by 498?
Yes, -1494 is divisible by 498.
Explanation
To check if -1494 is divisible by 498, we consider the absolute value:
1) Divide 1494 by 498.
2) 1494 ÷ 498 = 3.
3) Since the result is an integer, -1494 is divisible by 498.
Problem 4
Can 1236 be divisible by 498 following the divisibility rule?
No, 1236 isn't divisible by 498.
Explanation
To determine divisibility of 1236 by 498:
1) Divide 1236 by 498.
2) 1236 ÷ 498 ≈ 2.48.
3) The result is not an integer, so 1236 is not divisible by 498.
Problem 5
Check the divisibility rule of 498 for 1992.
Yes, 1992 is divisible by 498.
Explanation
To check if 1992 is divisible by 498:
1) Divide 1992 by 498.
2) 1992 ÷ 498 = 4.
3) Since the result is a whole number, 1992 is divisible by 498.
FAQs on Divisibility Rule of 498
1.What is the divisibility rule for 498?
2.How many numbers between 1 and 1000 are divisible by 498?
3.Is 1494 divisible by 498?
4.What if I get 0 when using the division method?
5.Does the divisibility rule of 498 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 498?
7.What are some fun ways kids in United States can practice Divisibility Rule of 498 with numbers?
8.What role do numbers and Divisibility Rule of 498 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 498 skills?
Important Glossaries for Divisibility Rule of 498
- Divisibility rule: Set of rules to determine if a number is divisible by another without division.
- Multiple: The product of a number and an integer. For example, multiples of 498 are 498, 996, 1494, etc.
- Factor: A number that divides another number without leaving a remainder. For example, 2, 3, and 83 are factors of 498.
- Even number: An integer divisible by 2. For example, 6 is an even number.
- Integer: A whole number that can be positive, negative, or zero.
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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
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