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123 LearnersLast updated on February 19th, 2025
Divisibility Rule of 999
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 999.
What is the Divisibility Rule of 999?
The divisibility rule for 999 is a method by which we can find out if a number is divisible by 999 or not without using the division method. Check whether 2997 is divisible by 999 with the divisibility rule.
Step 1: Split the number into groups of three digits starting from the right. For 2997, groups are 2 and 997.
Step 2: Sum these groups: 2 + 997 = 999.
Step 3: As 999 is a multiple of 999, the number 2997 is divisible by 999. If the result from step 2 isn't a multiple of 999, then the number isn't divisible by 999.
Tips and Tricks for Divisibility Rule of 999
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 999.
Know the multiples of 999:
Memorize the multiples of 999 (999, 1998, 2997, 3996… etc.) to quickly check divisibility. If the sum of the groups is a multiple of 999, then the number is divisible by 999.
Use the properties of addition:
If the sum we get is negative, consider its absolute value for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 999.
For example, check if 5994 is divisible by 999 using the divisibility test.
Split into groups: 5 and 994.
Sum the groups: 5 + 994 = 999.
Since 999 is a multiple of 999, 5994 is divisible by 999.
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 999
Divisibility Rule of 999 Examples
Problem 1
A digital library has a collection of 129,870 books. The librarian wants to organize books into shelves such that each shelf contains 999 books. Is this possible?
Explanation
Problem 2
A factory produces 299,001 widgets. The manager wants to package them into boxes, each holding exactly 999 widgets. Can this be done evenly?
Explanation
Problem 3
A music streaming service has 555,444 songs. They aim to create playlists of 999 songs each. Is it possible to create equal-sized playlists?
Explanation
Problem 4
A concert hall can accommodate 87,912 attendees. The event coordinator wants to arrange them in blocks, each containing 999 people. Is this arrangement feasible?
Explanation
Problem 5
A publishing company prints 1,998,000 copies of a magazine. They plan to distribute them in bundles of 999. Can they do this without any leftover copies?
Explanation
FAQs on Divisibility Rule of 999
1.What is the divisibility rule for 999?
2.How many numbers are there between 1 and 10000 that are divisible by 999?
3.Is 2997 divisible by 999?
4.What if I get 0 after summing the groups?
5.Does the divisibility rule of 999 apply to all integers?
Important Glossaries for Divisibility Rule of 999
- 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 999 are 999, 1998, 2997, 3996, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Grouping: Splitting a number into parts for the purpose of applying a mathematical rule or test.
- Summation: The process of adding numbers or groups of numbers together.
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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.
