243 LearnersLast updated on May 26th, 2025
Divisibility Rule of 495
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 495.
What is the Divisibility Rule of 495?
The divisibility rule for 495 is a method by which we can find out if a number is divisible by 495 or not without using the division method. Check whether 7425 is divisible by 495 with the divisibility rule.
Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. In 7425, the last digit is 5, so it is divisible by 5.
Step 2: Check if the number is divisible by 9. Add all the digits of the number, and see if the sum is divisible by 9. For 7425, 7 + 4 + 2 + 5 = 18, which is divisible by 9.
Step 3: Check if the number is divisible by 11. Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is divisible by 11 or is 0, then the number is divisible by 11. For 7425, (7 + 2) - (4 + 5) = 9 - 9 = 0, which is divisible by 11.
Therefore, since 7425 is divisible by 5, 9, and 11, it is divisible by 495.
Tips and Tricks for Divisibility Rule of 495
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 495.
- Know the multiples of 495: Memorize the multiples of 495 (495, 990, 1485...etc.) to quickly check the divisibility. If the number matches a multiple of 495, then it is divisible by 495.
- Use the rules for 5, 9, and 11: Remember that a number is divisible by 495 if and only if it is divisible by 5, 9, and 11. This can be leveraged for quicker calculations.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for each component (5, 9, and 11) until they confirm divisibility by all three.
- 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 495
The divisibility rule of 495 helps us to quickly check if the given number is divisible by 495, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking all three components (5, 9, and 11).
Ensure that you verify divisibility by 5, 9, and 11, as all are necessary for divisibility by 495.
Mistake 2
Miscalculating digit sums for 9 and 11.
Carefully add the digits for checking divisibility by 9 and subtract correctly for checking divisibility by 11.
Mistake 3
Ignoring the divisibility by 5.
Always check the last digit to ensure the number is divisible by 5.
Mistake 4
Confusing steps for different divisibility checks.
Practice regularly to keep the steps clear in your mind for each divisibility rule.
Mistake 5
Overlooking the need to check all conditions.
Remember that a number must meet all three conditions to be divisible by 495.
Divisibility Rule of 495 Examples
Problem 1
Is 990 divisible by 495?
Yes, 990 is divisible by 495.
Explanation
To determine if 990 is divisible by 495, we can check if 990 divided by 495 results in a whole number.
1) Divide 990 by 495, which equals 2.
2) Since the result is a whole number, 990 is divisible by 495.
Problem 2
Check if 1485 is divisible by 495.
Yes, 1485 is divisible by 495.
Explanation
To check if 1485 is divisible by 495, we follow these steps:
1) Divide 1485 by 495, which equals 3.
2) Since the result is a whole number, 1485 is divisible by 495.
Problem 3
Is 2475 divisible by 495?
Yes, 2475 is divisible by 495.
Explanation
To verify if 2475 is divisible by 495, perform the following:
1) Divide 2475 by 495, which equals 5.
2) Since the result is a whole number, 2475 is divisible by 495.
Problem 4
Can 1234 be divisible by 495 following the divisibility rule?
No, 1234 is not divisible by 495.
Explanation
To check if 1234 is divisible by 495, follow these steps:
1) Divide 1234 by 495, which results in approximately 2.49.
2) Since the result is not a whole number, 1234 is not divisible by 495.
Problem 5
Check if 3960 is divisible by 495.
Yes, 3960 is divisible by 495.
Explanation
To determine if 3960 is divisible by 495, we perform the following:
1) Divide 3960 by 495, which equals 8.
2) Since the result is a whole number, 3960 is divisible by 495.
FAQs on Divisibility Rule of 495
1.What is the divisibility rule for 495?
2.How many numbers are there between 1 and 5000 that are divisible by 495?
3.Is 1485 divisible by 495?
4.What if I get 0 when checking divisibility by 11?
5.Does the divisibility rule of 495 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 495?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 495 with numbers?
8.What role do numbers and Divisibility Rule of 495 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 495 skills?
Important Glossaries for Divisibility Rule of 495
- 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 5 if the number ends with 0 or 5.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 495 are 495, 990, 1485...
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits of a number together. Used in checking divisibility by 9.
- Odd and even position subtraction: A method to find the difference between the sum of digits at odd positions and the sum of digits at even positions to check divisibility by 11.
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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.
