Divisibility Rule of 243

The divisibility rule for 243 is a method by which we can find out if a number is divisible by 243 or not without using the division method. Check whether 729 is divisible by 243 with the divisibility rule.  

Step 1: Check if the sum of its digits is divisible by 9. Here, 7 + 2 + 9 = 18, which is divisible by 9.

Step 2: Check if the number is divisible by 27. Divide the number by 27. If the quotient is an integer, the number is divisible by 27. In this case, 729 ÷ 27 = 27, which is an integer.

Step 3: As the number satisfies both conditions (divisible by 9 and 27), 729 is divisible by 243.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 243.

Know the multiples of 243:

Memorize the multiples of 243 (243, 486, 729, etc.) to quickly check divisibility. If the number is a multiple of 243, it is divisible by 243.

Use the sum of digits:

If the sum of the digits is divisible by 9, proceed to check divisibility by 27 to confirm divisibility by 243.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a number that clearly satisfies both conditions for divisibility by 243.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check 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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 243 are 243, 486, 729, etc.

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

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

• Sum of digits: The sum obtained by adding all the digits of a number together, often used in divisibility rules to check factors of 9.