Divisibility Rule of 227

The divisibility rule for 227 is a method by which we can find out if a number is divisible by 227 or not without using the division method. Check whether 454 is divisible by 227 with the divisibility rule.

Step 1: Multiply the last digit of the number by 455, here in 454, 4 is the last digit, multiply it by 455. 4 × 455 = 1820.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 45 - 1820.

Since this results in a negative number, we can ignore the negative sign and consider the absolute value for divisibility purposes.

Step 3: As it is shown that the number obtained is not divisible by 227 (since the subtraction result is not zero), the number 454 is not divisible by 227. If the result from step 2 is zero, then the number is divisible by 227.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 227.

1. Know the multiples of 227:

Memorize the multiples of 227 (227, 454, 681, 908, etc.) to quickly check the divisibility. If the result from the subtraction is zero, then the number is divisible by 227.

2. Use negative numbers:

If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

3. Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that can be easily checked for divisibility by 227. For example: Check if 681 is divisible by 227 using the divisibility test. Multiply the last digit by 455, i.e., 1 × 455 = 455. Subtract the remaining digits excluding the last digit by 455, 68 - 455. Since the result is negative, consider its absolute value. If it results in zero, then 681 is divisible by 227.

4. Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
 

• Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 227 are 227, 454, 681, 908, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: The process of finding out the difference between two numbers by reducing one number from another.

• Absolute value: The non-negative value of a number without regard to its sign.