Divisibility Rule of 488
2026-02-28 23:43 Diff
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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 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.

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Problem 1

Is 976 divisible by 488?

Okay, lets begin

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.

Well explained 👍

Problem 2

Check the divisibility rule of 488 for 1464.

Okay, lets begin

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.

Well explained 👍

Problem 3

Is -2440 divisible by 488?

Okay, lets begin

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.

Well explained 👍

Problem 4

Can 732 be divisible by 488 following the divisibility rule?

Okay, lets begin

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.

Well explained 👍

Problem 5

Check the divisibility rule of 488 for 1952.

Okay, lets begin

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.

Well explained 👍

FAQs on Divisibility Rule of 488

1.What is the divisibility rule for 488?

The divisibility rule for 488 involves checking if the last three digits of a number are divisible by 488.

2.How many numbers are there between 1 and 2000 that are divisible by 488?

There are four numbers that can be divided by 488 between 1 and 2000. The numbers are 488, 976, 1464, and 1952.

3.Is 976 divisible by 488?

Yes, because 976 is a multiple of 488 (488 × 2 = 976).

4.What if the last three digits are zero?

If the last three digits are zero, the number is divisible by 488.

5.Does the divisibility rule of 488 apply to all integers?

Yes, the divisibility rule of 488 applies to all integers.

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.