Divisibility Rule of 927

The divisibility rule for 927 is a method by which we can determine if a number is divisible by 927 without using the division method. Let's check whether 1854 is divisible by 927 using this rule.

Step 1: Multiply the last digit of the number by 2. In 1854, the last digit is 4, so multiply it by 2. 4 × 2 = 8.

Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. That is, 185 - 8 = 177.

Step 3: As 177 is not a multiple of 927, 1854 is not divisible by 927. If the result from Step 2 is a multiple of 927, then the number is divisible by 927.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 927.

Know the multiples of 927:

Memorize the multiples of 927 (e.g., 927, 1854, 2781, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 927, then the number is divisible by 927.

Use negative numbers:

If the result after subtraction is negative, consider it as positive for checking divisibility.

Repeat the process for large numbers:

If the result is still large, repeat the divisibility process until you reach a small number that is divisible by 927. For example, check if 5556 is divisible by 927 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 555 - 12 = 543. Still, 543 is large, so repeat the process: 3 × 2 = 6. Now subtract 6 from the remaining numbers excluding the last digit, 54 - 6 = 48. As 48 is not a multiple of 927, 5556 is not divisible by 927.

Use the division method to verify:

Verify results with the division method to ensure correctness and enhance learning.
 

• Divisibility Rule: A set of steps used to determine if one number is divisible by another without direct division.
   
• Multiples: Results obtained by multiplying a number by an integer, e.g., multiples of 927 are 927, 1854, 2781, etc
  .
• Integers: Whole numbers that can be positive, negative, or zero.
   
• Subtraction: The mathematical process of finding the difference between two numbers.
   
• Verification: The process of confirming the accuracy of a result, often through alternative methods like division.