199 LearnersLast updated on May 26th, 2025
Divisibility Rule of 488
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 488.
What is the Divisibility Rule of 488?
The divisibility rule for 488 is a method by which we can find out if a number is divisible by 488 or not without using the division method. Check whether 976 is divisible by 488 with the divisibility rule.
Step 1: Divide the number into two parts, the last three digits and the rest. Here, in 976, the last three digits are 976, and there are no other digits.
Step 2: Check if the number formed by the last three digits, 976, is divisible by 488.
Step 3: Since 976 divided by 488 is exactly 2, it shows that 976 is a multiple of 488, and therefore, the number is divisible by 488.
Tips and Tricks for Divisibility Rule of 488
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 488.
- Know the multiples of 488: Memorize the multiples of 488 (488, 976, 1464, etc.) to quickly check divisibility. If the number formed by the last three digits is a multiple of 488, then the number is divisible by 488.
- Large numbers: For very large numbers, you can break them into two parts as described, focusing on the last three digits to determine divisibility.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 488
The divisibility rule of 488 helps us quickly check if the given number is divisible by 488, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, focusing on the last three digits and checking if they are divisible by 488.
Mistake 2
Using incorrect multiples.
Ensure you have correctly identified the multiples of 488 and use them to check divisibility.
Mistake 3
Not considering the entire number.
Make sure to consider the entire number in the context of breaking it down into parts as needed.
Mistake 4
Forgetting to verify with division.
Always verify your results by performing the actual division to ensure accuracy.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; to avoid errors, students should practice regularly.
Divisibility Rule of 488 Examples
Problem 1
Is 976 divisible by 488?
Yes, 976 is divisible by 488.
Explanation
Since 976 is a relatively larger number, let's apply a divisibility check:
1) Split the number into two parts: 9 and 76.
2) Double the first part: 9 × 2 = 18.
3) Subtract this result from the second part: 76 - 18 = 58.
4) Check if 58 is a multiple of 488. In this case, 58 is not a multiple of 488, so we revisit our steps.
5) Since we made an error, we directly divide 976 by 488 and get a quotient of 2 with no remainder, confirming divisibility.
Problem 2
Check the divisibility rule of 488 for 1464.
Yes, 1464 is divisible by 488.
Explanation
To verify, follow these steps:
1) Break the number into parts: 14 and 64.
2) Double the first part: 14 × 2 = 28.
3) Subtract from the second part: 64 - 28 = 36.
4) Since 36 is not a multiple of 488, directly dividing 1464 by 488 gives a quotient of 3, confirming it is divisible.
Problem 3
Is -2440 divisible by 488?
Yes, -2440 is divisible by 488.
Explanation
For a negative number, consider the positive equivalent:
1) Consider 2440.
2) Break the number into parts: 24 and 40.
3) Double the first part: 24 × 2 = 48.
4) Subtract from the second part: 40 - 48 = -8.
5) Since -8 is not a multiple of 488, directly dividing 2440 by 488 results in a quotient of 5, confirming divisibility.
Problem 4
Can 732 be divisible by 488 following the divisibility rule?
No, 732 isn't divisible by 488.
Explanation
To check:
1) Split the number into two parts: 7 and 32.
2) Double the first part: 7 × 2 = 14.
3) Subtract from the second part: 32 - 14 = 18.
4) Since 18 is not a multiple of 488, and directly dividing 732 by 488 results in a quotient that is not an integer, it confirms non-divisibility.
Problem 5
Check the divisibility rule of 488 for 1952.
Yes, 1952 is divisible by 488.
Explanation
Verify through steps:
1) Separate into parts: 19 and 52.
2) Double the first part: 19 × 2 = 38.
3) Subtract from the second part: 52 - 38 = 14.
4) Since 14 is not a multiple of 488, directly dividing 1952 by 488 results in a quotient of 4, confirming divisibility.
FAQs on Divisibility Rule of 488
1.What is the divisibility rule for 488?
2.How many numbers are there between 1 and 2000 that are divisible by 488?
3.Is 976 divisible by 488?
4.What if the last three digits are zero?
5.Does the divisibility rule of 488 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 488?
7.What are some fun ways kids in United States can practice Divisibility Rule of 488 with numbers?
8.What role do numbers and Divisibility Rule of 488 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 488 skills?
Important Glossaries for Divisibility Rule of 488
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 488 are 488, 976, 1464, etc.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Verification: The process of checking or proving the accuracy of a calculation or result, often by using another method.
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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.
