Last updated on May 26th, 2025
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.
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.
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.
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.
Is 1809 divisible by 603?
Yes, 1809 is divisible by 603.
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.
Check the divisibility rule of 603 for 3015.
Yes, 3015 is divisible by 603.
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.
Is 1206 divisible by 603?
Yes, 1206 is divisible by 603.
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.
Can 907 be divisible by 603?
No, 907 is not divisible by 603.
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.
Check the divisibility rule of 603 for 4824.
Yes, 4824 is divisible by 603.
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.
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.
: She loves to read number jokes and games.