159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 500
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 500.
What is the Divisibility Rule of 500?
The divisibility rule for 500 is a method by which we can find out if a number is divisible by 500 or not without using the division method. Check whether 2500 is divisible by 500 with the divisibility rule.
Step 1: Check if the last three digits of the number are 000 or a multiple of 500. Here, in 2500, the last three digits are 500.
Step 2: Since 500 is a multiple of 500, the number is divisible by 500. If the last three digits aren't 000 or a multiple of 500, then the number isn't divisible by 500.
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Tips and Tricks for Divisibility Rule of 500
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 500.
Know the multiples of 500:
Memorize the multiples of 500 (500, 1000, 1500, 2000, 2500, etc.) to quickly check divisibility. If the last three digits form one of these multiples, the number is divisible by 500.
Use zero endings:
If the last three digits of a number are zeros (e.g., 3000, 4000), then it is divisible by 500.
Repeat the process for large numbers:
For large numbers, focus only on the last three digits to determine divisibility by 500. For example, check if 48500 is divisible by 500. The last three digits are 500, which is a multiple of 500, so 48500 is divisible by 500.
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 500
The divisibility rule of 500 helps us to quickly check if the given number is divisible by 500, 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 the correct digits.
Students should focus on the last three digits of the number to determine divisibility by 500.
Mistake 2
Forgetting zero endings.
Remember that if the last three digits are zeros, the number is divisible by 500.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Mistake 4
Misinterpreting non-multiples.
Some students may mistake numbers that are close to multiples of 500 as divisible. Always ensure the last three digits are exactly multiples of 500 or are zeros.
Mistake 5
Overlooking the significance of the last three digits.
Emphasize that only the last three digits determine divisibility by 500.
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Divisibility Rule of 500 Examples
Problem 1
Is 1500 divisible by 500?
1500 is divisible by 500.
Explanation
To check if 1500 is divisible by 500, we simply divide the number by 500. If the quotient is an integer, the number is divisible.
1) Divide 1500 by 500, which equals 3.
2) Since 3 is an integer, 1500 is divisible by 500.
Problem 2
Check the divisibility rule of 500 for 2750.
No, 2750 is not divisible by 500.
Explanation
To determine if 2750 is divisible by 500, divide the number by 500.
1) Divide 2750 by 500, which equals 5.5.
2) Since 5.5 is not an integer, 2750 is not divisible by 500.
Problem 3
Is -2000 divisible by 500?
Yes, -2000 is divisible by 500.
Explanation
To check if -2000 is divisible by 500, ignore the negative sign and divide.
1) Divide 2000 by 500, which equals 4.
2) Since 4 is an integer, -2000 is divisible by 500.
Problem 4
Can 625 be divisible by 500 following the divisibility rule?
No, 625 isn't divisible by 500.
Explanation
To check if 625 is divisible by 500, divide the number by 500.
1) Divide 625 by 500, which equals 1.25.
2) Since 1.25 is not an integer, 625 is not divisible by 500.
Problem 5
Check the divisibility rule of 500 for 10000.
Yes, 10000 is divisible by 500.
Explanation
To check if 10000 is divisible by 500, divide the number by 500.
1) Divide 10000 by 500, which equals 20.
2) Since 20 is an integer, 10000 is divisible by 500.
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FAQs on Divisibility Rule of 500
1. What is the divisibility rule for 500?
2.How many numbers are there between 1 and 1000 that are divisible by 500?
3. Is 1500 divisible by 500?
4. Is 1500 divisible by 500?
5. What if the last three digits are 000?
6.Does the divisibility rule of 500 apply to all the integers?
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Important Glossaries for Divisibility Rule of 500
- 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 500 are 500, 1000, 1500, 2000, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Zero endings: This refers to numbers that end with one or more zeros.
- Digits: The individual numbers in a numeral, such as the hundreds, tens, and units place.
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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.
