Table Of Contents
134 LearnersLast updated on February 19th, 2025
Divisibility Rule of 1000
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 1000.
What is the Divisibility Rule of 1000?
The divisibility rule for 1000 is a method by which we can find out if a number is divisible by 1000 or not without using the division method. Check whether 5000 is divisible by 1000 with the divisibility rule.
Step 1: Look at the last three digits of the number. In 5000, the last three digits are 000.
Step 2: If the last three digits are 000, then the number is divisible by 1000.
Step 3: Since the last three digits of 5000 are 000, the number is divisible by 1000. If the last three digits are not all zeros, then the number is not divisible by 1000.
Tips and Tricks for Divisibility Rule of 1000
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 1000.
Know the rule:
Remember that a number is divisible by 1000 if its last three digits are 000.
Large numbers:
For large numbers, you only need to focus on the last three digits to determine divisibility by 1000.
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.
Understanding multiples:
Familiarize yourself with multiples of 1000 like 1000, 2000, 3000, etc., to quickly recognize divisibility.
Practice regularly:
Consistently practice identifying the last three digits to become proficient in applying the rule.
Common Mistakes and How to Avoid Them in Divisibility Rule of 1000
The divisibility rule of 1000 helps us quickly check if the given number is divisible by 1000, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the correct number of digits.
Always check the last three digits of the number to determine if it's divisible by 1000.
Divisibility Rule of 1000 Examples
Problem 1
Is the number of pages in a book, 2000, divisible by 1000?
Yes, 2000 is divisible by 1000.
Explanation
To determine if 2000 is divisible by 1000, check if the last three digits are zeros. The last three digits of 2000 are 000, thus it is divisible by 1000.
Problem 2
Check if the total number of seats in a stadium, 3500, is divisible by 1000.
No, 3500 is not divisible by 1000.
Explanation
To check divisibility by 1000, observe the last three digits. Here, the last three digits of 3500 are 500, which are not all zeros, so 3500 is not divisible by 1000.
Problem 3
A factory produces 17000 widgets in a month. Is this number divisible by 1000?
Yes, 17000 is divisible by 1000.
Explanation
For divisibility by 1000, the last three digits must be 000. The last three digits of 17000 are 000, confirming it is divisible by 1000.
Problem 4
A company ordered 12345 units of a product. Is this order quantity divisible by 1000?
No, 12345 is not divisible by 1000.
Explanation
To check for divisibility by 1000, examine if the last three digits are zeros. The last three digits of 12345 are 345, which are not zeros, indicating it is not divisible by 1000.
Problem 5
Is the budget for a project, 8000 dollars, divisible by 1000?
Yes, 8000 is divisible by 1000.
Explanation
A number is divisible by 1000 if the last three digits are zeros. The last three digits of 8000 are 000, so it is divisible by 1000.
FAQs on Divisibility Rule of 1000
1.What is the divisibility rule for 1000?
2.How many numbers are there between 1 and 10,000 that are divisible by 1000?
3.Is 7000 divisible by 1000?
4.What if I get 999 after checking the last three digits?
5.Does the divisibility rule of 1000 apply to all integers?
Important Glossaries for Divisibility Rule of 1000
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing division. For example, a number is divisible by 1000 if its last three digits are 000.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 1000 are 1000, 2000, 3000, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming a result, often used in conjunction with the division method to check divisibility.
- Last three digits: The final three digits of a number, crucial for determining divisibility by 1000.
Explore More numbers
Previous to Divisibility Rule of 1000
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.
