Divisibility Rule of 498
2026-02-28 01:10 Diff
https://brightchamps.com/en-us/math/numbers/divisibility-rule-of-498

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Last updated on August 5, 2025

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.
 

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Problem 1

Is 2490 divisible by 498?

Okay, lets begin

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.

Well explained 👍

Problem 2

Check the divisibility rule of 498 for 996.

Okay, lets begin

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.

Well explained 👍

Problem 3

Is -1494 divisible by 498?

Okay, lets begin

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.

Well explained 👍

Problem 4

Can 1236 be divisible by 498 following the divisibility rule?

Okay, lets begin

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.

Well explained 👍

Problem 5

Check the divisibility rule of 498 for 1992.

Okay, lets begin

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.

Well explained 👍

FAQs on Divisibility Rule of 498

1.What is the divisibility rule for 498?

A number is divisible by 498 if it is divisible by 2, 3, and 83.

2.How many numbers between 1 and 1000 are divisible by 498?

There are 2 numbers divisible by 498 between 1 and 1000. The numbers are 498 and 996.

3.Is 1494 divisible by 498?

Yes, 1494 is divisible by 498 because it is a multiple of 498 (498 × 3 = 1494).
 

4.What if I get 0 when using the division method?

If you get 0 as a remainder using the division method, it confirms the number is divisible by 498.

5.Does the divisibility rule of 498 apply to all integers?

Yes, the divisibility rule of 498 applies to all integers.

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

: She loves to read number jokes and games.