Divisibility Rule of 285

The divisibility rule for 285 is a method by which we can find out if a number is divisible by 285 or not without using the division method. Check whether 5700 is divisible by 285 with the divisibility rule.

Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. Here, the last digit of 5700 is 0, so it is divisible by 5.

Step 2: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 5700 is 5+7+0+0 = 12. Since 12 is divisible by 3, 5700 is also divisible by 3.

Step 3: Check if the number is divisible by 19. For simplicity, use the division method to verify this step. 

Since 5700 is divisible by 5, 3, and 19, it is divisible by 285.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 285.

Know the multiples of 285:

Memorize the multiples of 285 (285, 570, 855, etc.) to quickly check divisibility.

Use the division method:

For checking divisibility by 19, using the division method can be a reliable approach.

Combine rules:

Remember that if a number is divisible by 5, 3, and 19, it is divisible by 285.

Use calculator verification:

A calculator can be used to verify divisibility quickly.
 

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without direct division.
   
• Multiple: The result of multiplying a number by an integer. For example, multiples of 285 include 285, 570, and 855.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Sum of digits: The total obtained by adding all the digits in a number.
   
• Division method: A mathematical procedure to determine the quotient and remainder of dividing two numbers, used here to verify divisibility.