Divisibility Rule of 27

The divisibility rule for 27 is a method by which we can find out if a number is divisible by 27 or not without using the division method. Check whether 486 is divisible by 27 with the divisibility rule.

Step 1: Find the sum of the digits of the number. Here in 486, the sum is 4+8+6=18.

Step 2: Check if the sum obtained in Step 1 is divisible by 9. If it is, multiply the sum by 3 to check for divisibility by 27. Here, 18 is divisible by 9 (since 18/9=2), and 18 multiplied by 3 is 54, which is not divisible by 27. Therefore, 486 is not divisible by 27.

Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 27.

• Know the multiples of 27: Memorize the multiples of 27 (27, 54, 81, 108, 135, etc.) to quickly check divisibility. If 486 were divisible by 27, 54 would need to be a multiple of 27, which it is not.
   
• Use the sum of digits: If the sum of the digits is not divisible by 9, you can immediately determine that the number is not divisible by 27.
   
• Break down the problem: For large numbers, break them down into manageable parts, find the sum of digits for each part, and check divisibility by 27.
   
• 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: The set of rules used to find out whether a number is divisible by another number or not.
   
• Sum of digits: The result obtained by adding all the digits of a number.
   
• Multiple: A number that can be divided by another number without leaving a remainder.
   
• Integers: Whole numbers, including negative numbers and zero.
   
• Verification: The process of confirming the accuracy of a calculation or result.