171 LearnersLast updated on May 26th, 2025
Divisibility Rule of 603
The divisibility rule is a way to determine 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 603.
What is the Divisibility Rule of 603?
The divisibility rule for 603 is a method by which we can find out if a number is divisible by 603 or not without using the division method. Let's check whether 1809 is divisible by 603 with the divisibility rule.
Step 1: Check if the number is divisible by both 3 and 201 (since 603 = 3 × 201).
Step 2: For divisibility by 3, sum the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. For 1809, sum the digits: 1 + 8 + 0 + 9 = 18. Since 18 is divisible by 3, 1809 is divisible by 3.
Step 3: For divisibility by 201, break it down further. Check divisibility by 3 (already done) and 67 (since 201 = 3 × 67). Use the divisibility rule for 67, which is more complex and requires direct division or checking known multiples.
Step 4: If a number passes both divisibility tests (for 3 and 67), it is divisible by 603.
Tips and Tricks for Divisibility Rule of 603
Understanding the divisibility rule will help in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 603.
Know the multiples of 603: Memorize some multiples of 603 (603, 1206, 1809, etc.) to quickly check divisibility.
Use the division method for complex parts: Since 603 includes a less straightforward factor like 67, sometimes direct division may be necessary.
Common Mistakes and How to Avoid Them in Divisibility Rule of 603
The divisibility rule of 603 helps us to quickly check if a given number is divisible by 603, 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 checking divisibility by all factors.
Ensure you check divisibility by both 3 and 201.
If either fails, the number is not divisible by 603.
Mistake 2
Confusing factors of 603.
Remember that 603 = 3 × 201. It’s crucial to check divisibility by these.
Mistake 3
Skipping divisibility checks for larger factors.
For factors like 67, which are less intuitive, make sure to perform necessary checks or use direct division.
Mistake 4
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Mistake 5
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Divisibility Rule of 603 Examples
Problem 1
Is 1809 divisible by 603?
Yes, 1809 is divisible by 603.
Explanation
To check if 1809 is divisible by 603, we must verify if dividing 1809 by 603 gives an integer.
1) Divide 1809 by 603, 1809 ÷ 603 = 3.
2) Since the result is an integer, 1809 is divisible by 603.
Problem 2
Check the divisibility rule of 603 for 3015.
Yes, 3015 is divisible by 603.
Explanation
To determine if 3015 is divisible by 603, follow these steps:
1) Divide 3015 by 603, 3015 ÷ 603 = 5.
2) As the result is an integer, 3015 is divisible by 603.
Problem 3
Is 1206 divisible by 603?
Yes, 1206 is divisible by 603.
Explanation
To check if 1206 is divisible by 603:
1) Divide 1206 by 603, 1206 ÷ 603 = 2.
2) Since the result is an integer, 1206 is divisible by 603.
Problem 4
Can 907 be divisible by 603?
No, 907 is not divisible by 603.
Explanation
To determine if 907 is divisible by 603:
1) Divide 907 by 603, 907 ÷ 603 ≈ 1.504.
2) As the result is not an integer, 907 is not divisible by 603.
Problem 5
Check the divisibility rule of 603 for 4824.
Yes, 4824 is divisible by 603.
Explanation
To check if 4824 is divisible by 603:
1) Divide 4824 by 603, 4824 ÷ 603 = 8.
2) Since the result is an integer, 4824 is divisible by 603.
FAQs on Divisibility Rule of 603
1.What is the divisibility rule for 603?
2.Is 1206 divisible by 603?
3.What if I get 0 as a remainder when dividing by 603?
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6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 603?
7.What are some fun ways kids in United States can practice Divisibility Rule of 603 with numbers?
8.What role do numbers and Divisibility Rule of 603 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 603 skills?
Glossary for Divisibility Rule of 603
- Divisibility rule: The set of rules used to determine whether one number is divisible by another without actual division.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 603 include 603, 1206, etc.
- Factor: A number that divides another number exactly. For example, 3 and 201 are factors of 603.
- Sum of digits: The total obtained by adding all digits of a number. Used in divisibility checks for 3.
- Integer: A whole number that can be positive, negative, or zero.
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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.
