Divisibility Rule of 228

The divisibility rule for 228 is a method by which we can find out if a number is divisible by 228 or not without using the division method. Check whether 684 is divisible by 228 with the divisibility rule.

Step 1: Check if the number is divisible by 2. All numbers ending in an even digit are divisible by 2. Here, 684 ends in 4, which is even.

Step 2: Check if the number is divisible by 3. Add the digits of the number: 6 + 8 + 4 = 18. Since 18 is divisible by 3, 684 is divisible by 3.

Step 3: Check if the number is divisible by 19. Use the rule where you multiply the last digit by 2, and then subtract it from the rest of the number. Here, the last digit is 4, so 4 × 2 = 8. Subtracting that from 68 (the remaining digits), we get 68 - 8 = 60. Since 60 is not divisible by 19, 684 is not divisible by 19.

Since 684 is not divisible by 19, it is not divisible by 228.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 228.

Know the factors of 228:

Memorize the factors of 228 (2, 3, 19) to quickly check divisibility. A number must be divisible by all these factors to be divisible by 228.

Repeat the process for large numbers:

Students should keep repeating the divisibility checks for each factor until they confirm divisibility by all factors.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This helps ensure accuracy.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Factors: Numbers that divide another number completely without leaving a remainder.

• Multiple: A number that can be divided by another number without a remainder.

• Even number: A number that is divisible by 2.

• Subtraction: The process of finding the difference between two numbers.