146 LearnersLast updated on May 26th, 2025
Divisibility Rule of 499
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 499.
What is the Divisibility Rule of 499?
The divisibility rule for 499 is a method by which we can find out if a number is divisible by 499 or not without using the division method. Check whether 998 is divisible by 499 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 998, 8 is the last digit, multiply it by 2. 8 × 2 = 16
Step 2: Add the result from Step 1 to the remaining values but do not include the last digit. i.e., 99 + 16 = 115.
Step 3: As it is shown that 115 is not a multiple of 499, therefore, the number is not divisible by 499. If the result from step 2 is a multiple of 499, then the number is divisible by 499.
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Tips and Tricks for Divisibility Rule of 499
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 499.
- Know the multiples of 499: Memorize the multiples of 499 (499, 998, 1497, 1996…etc.) to quickly check divisibility. If the result from the addition is a multiple of 499, then the number is divisible by 499.
- Use the negative numbers: If the result we get after the addition 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 499. For example: Check if 1497 is divisible by 499 using the divisibility test. Multiply the last digit by 2, i.e., 7 × 2 = 14. Add this to the remaining digits excluding the last digit, 149 + 14 = 163. Still, 163 is not divisible by 499, hence 1497 is not divisible by 499.
- 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 Divisibility Rule of 499
The divisibility rule of 499 helps us quickly check if the given number is divisible by 499, 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 are multiplying the last digit by 2 and then adding the result to the remaining digits excluding the last digit and checking whether it is a multiple of 499.
Mistake 2
Including the last digit in addition.
Students should keep in mind that they should exclude the last digit while adding and include all the remaining digits.
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 addition. The process should be repeated until we get the smallest number that is divisible by 499.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to 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 them. To avoid the error, students should practice regularly.
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Divisibility Rule of 499 Examples
Problem 1
Is 1497 divisible by 499?
Yes, 1497 is divisible by 499.
Explanation
To determine if 1497 is divisible by 499, consider the steps:
1) Divide the entire number by 499, 1497 ÷ 499 = 3.
2) Since the division results in an exact integer with no remainder, 1497 is divisible by 499.
Problem 2
Check the divisibility rule of 499 for 2495.
No, 2495 is not divisible by 499.
Explanation
To check if 2495 is divisible by 499, follow these steps:
1) Divide the entire number by 499, 2495 ÷ 499 = 5.
2) The result is not an integer, as there is a remainder. Therefore, 2495 is not divisible by 499.
Problem 3
Is -2994 divisible by 499?
Yes, -2994 is divisible by 499.
Explanation
To check if -2994 is divisible by 499, disregard the negative sign and proceed:
1) Divide the number by 499, 2994 ÷ 499 = 6.
2) The division results in an exact integer with no remainder, so -2994 is divisible by 499.
Problem 4
Can 2345 be divisible by 499 following the divisibility rule?
No, 2345 isn't divisible by 499.
Explanation
To verify the divisibility of 2345 by 499, use the following steps:
1) Divide the number by 499, 2345 ÷ 499 = 4.699.
2) Since the result is not an integer, 2345 is not divisible by 499.
Problem 5
Check the divisibility rule of 499 for 998.
Yes, 998 is divisible by 499.
Explanation
To verify the divisibility of 998 by 499, follow these steps:
1) Divide the number by 499, 998 ÷ 499 = 2.
2) The result is an exact integer, so 998 is divisible by 499.
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FAQs on Divisibility Rule of 499
1.What is the divisibility rule for 499?
2. How many numbers are there between 1 and 2000 that are divisible by 499?
3.Is 1497 divisible by 499?
4.What if I get 0 after adding?
5.Does the divisibility rule of 499 apply to all the integers?
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Important Glossaries for Divisibility Rule of 499
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 499 are 499, 998, 1497, 1996, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Addition: Addition is a process of combining two numbers to get a total or sum.
- Verification: A method used to confirm the accuracy of calculations, often by cross-checking through division.
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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.
