206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 497
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 497.
What is the Divisibility Rule of 497?
The divisibility rule for 497 is a method by which we can determine if a number is divisible by 497 or not without using the division method. Check whether 994 is divisible by 497 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 994, 4 is the last digit, multiply it by 2. 4 × 2 = 8
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 99–8 = 91.
Step 3: As it is shown that 91 is not a multiple of 497, the number is not divisible by 497. If the result from step 2 were a multiple of 497, then the number would be divisible by 497.
Tips and Tricks for Divisibility Rule of 497
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 497.
- Know the multiples of 497: Memorize the multiples of 497 (497, 994, 1491, 1988, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 497, then the number is divisible by 497.
- Use the 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 497.
For example: Check if 2485 is divisible by 497 using the divisibility test. Multiply the last digit by 2, i.e., 5 × 2 = 10.
Subtract the remaining digits excluding the last digit by 10, 248–10 = 238. Still, 238 is not a multiple of 497, so 2485 is not divisible by 497.
- 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 497
The divisibility rule of 497 helps us quickly check if the given number is divisible by 497, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiplying the last digit with 2, subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 497.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting 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 a large number result from subtraction. The process should be repeated until we get the smallest number that is divisible by 497.
Mistake 4
Not considering negative values.
Students may disregard negative values, thinking divisibility rules don't apply. But the divisibility rule applies to negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 497 Examples
Problem 1
Is 1491 divisible by 497?
Yes, 1491 is divisible by 497.
Explanation
To check if 1491 is divisible by 497, we can perform the division directly:
1) Divide 1491 by 497. You get 3 as the quotient with no remainder.
2) Since there is no remainder, 1491 is divisible by 497.
Problem 2
Check whether 2485 is divisible by 497.
No, 2485 is not divisible by 497.
Explanation
To check the divisibility of 2485 by 497:
1) Divide 2485 by 497.
2) The quotient is 5 with a remainder of 0, thus verifying that 2485 is not divisible by 497.
Problem 3
Is -994 divisible by 497?
Yes, -994 is divisible by 497.
Explanation
When considering the divisibility of negative numbers, we can ignore the sign and check the positive equivalent.
1) Divide 994 by 497.
2) The result is 2 with no remainder, confirming that 994 is divisible by 497.
3) Therefore, -994 is also divisible by 497.
Problem 4
Can 3000 be divisible by 497?
No, 3000 is not divisible by 497.
Explanation
To determine if 3000 is divisible by 497:
1) Perform the division of 3000 by 497.
2) The quotient is approximately 6.03, indicating a remainder.
3) Since there is a remainder, 3000 is not divisible by 497.
Problem 5
Check the divisibility rule of 497 for 994.
Yes, 994 is divisible by 497.
Explanation
To check if 994 is divisible by 497:
1) Divide 994 by 497.
2) The quotient is exactly 2 with no remainder.
3) Since there is no remainder, 994 is divisible by 497.
FAQs on Divisibility Rule of 497
1.What is the divisibility rule for 497?
2.How many numbers are there between 1 and 1000 that are divisible by 497?
3.Is 994 divisible by 497?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 497 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 497?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 497 with numbers?
8.What role do numbers and Divisibility Rule of 497 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 497 skills?
Important Glossary for Divisibility Rule of 497
- Divisibility rule: The set of steps used to determine whether a number can be divided evenly by another number without performing division.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 497 are 497, 994, 1491, 1988, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A mathematical operation to find the difference between two numbers by reducing one number from another.
- Verification: The process of confirming that a mathematical result or calculation is correct, often by using a different method such as 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.
