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.
 

• 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.