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114 LearnersLast updated on February 26th, 2025
Divisibility Rule of 903
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division methods. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 903.
What is the Divisibility Rule of 903?
The divisibility rule for 903 is a method by which we can find out if a number is divisible by 903 or not without performing direct division. Check whether 271089 is divisible by 903 using the divisibility rule.
Step 1: Break down the number into parts that are easier to manage. For example, 271089 can be divided into 271 and 089.
Step 2: Check if each part can be reduced or analyzed to see if it's a multiple of 903.
Step 3: If the combined or individual analysis shows they are divisible by 903, then the whole number is divisible by 903. In this case, neither 271 nor 089 individually suggests divisibility by 903, so the number is not divisible by 903.
Tips and Tricks for Divisibility Rule of 903
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 903.
Know the multiples of 903:
Memorize the multiples of 903 (903, 1806, 2709, etc.) to quickly check divisibility. If a number matches these multiples, it is divisible by 903.
Break down large numbers:
For large numbers, break them down into smaller components to simplify the process.
Use the division method to verify:
You can use the division method to verify and cross-check results. This helps confirm accuracy.
Practice regularly:
Regular practice helps avoid confusion and mistakes in applying the rule.
Common Mistakes and How to Avoid Them in Divisibility Rule of 903
The divisibility rule of 903 helps us quickly check if a number is divisible by 903, but common mistakes like calculation errors can lead to incorrect results. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps of breaking down the number and checking each component.
Divisibility Rule of 903 Examples
Problem 1
Is the number of pages in a book, 1806, divisible by 903?
Yes, 1806 is divisible by 903
Explanation
To check if 1806 is divisible by 903, we divide 1806 by 903.
1) 1806 ÷ 903 = 2, with no remainder.
2) Since the division results in a whole number with no remainder, 1806 is divisible by 903.
Problem 2
A company produced 4515 widgets in a year. Can these be evenly distributed in 903-unit batches?
No, 4515 is not divisible by 903.
Explanation
To determine if 4515 can be divided into batches of 903, we divide 4515 by 903.
1) 4515 ÷ 903 ≈ 5.0005
2) The division does not result in a whole number, so 4515 cannot be evenly divided into batches of 903.
Problem 3
A charity event collected 2718 items. Can these items be divided equally among 903 beneficiaries?
Yes, 2718 is divisible by 903.
Explanation
To check if 2718 can be divided equally among 903 beneficiaries, we divide 2718 by 903.
1) 2718 ÷ 903 = 3, with no remainder.
2) As the division results in a whole number with no remainder, 2718 is divisible by 903.
Problem 4
A library has a collection of 8127 books. Is it possible to arrange them in 903 stacks with an equal number of books in each stack?
No, 8127 is not divisible by 903.
Explanation
To find out if 8127 can be divided into stacks of 903, we divide 8127 by 903.
1) 8127 ÷ 903 ≈ 8.999
2) This division does not result in a whole number, indicating that 8127 books cannot be evenly stacked in groups of 903.
Problem 5
A factory has 1806 components. Can these be packaged into boxes of 903 components each without leftovers?
Yes, 1806 is divisible by 903.
Explanation
To determine if 1806 components can be packaged into boxes of 903 each, we divide 1806 by 903.
1) 1806 ÷ 903 = 2, with no remainder.
2) The division yields a whole number, so 1806 can be evenly divided into boxes of 903.
FAQs on Divisibility Rule of 903
1.What is the divisibility rule for 903?
2.How do you check if a large number is divisible by 903?
3. Is 1806 divisible by 903?
4.What if the number parts are not divisible individually?
5.Does the divisibility rule of 903 apply to all integers?
Important Glossaries for Divisibility Rule of 903
- Divisibility rule: A set of methods used to determine if one number is divisible by another without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 903 are 903, 1806, 2709, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Verification: The process of confirming results through additional methods, such as traditional division.
- Component: A part of a larger number when broken down for analysis or checking divisibility.
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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.
