Divisibility Rule of 216

The divisibility rule for 216 is a method by which we can find out if a number is divisible by 216 or not without using the division method. Check whether 432 is divisible by 216 with the divisibility rule.

Step 1: Check the divisibility by 8. Since 216 is 8×27, the rule for 8 is that the last three digits of the number should form a number divisible by 8. Here, 432 is divisible by 8 (432 ÷ 8 = 54).

Step 2: Check the divisibility by 27. Sum the digits of the number and see if the result is divisible by 9. If so, check if the number is divisible by 27. Adding the digits of 432 (4 + 3 + 2 = 9), we find that 9 is divisible by 9. Check if 432 is divisible by 27 (432 ÷ 27 = 16).

Step 3: Since 432 is divisible by both 8 and 27, it is divisible by 216.
 

Learn divisibility rules to help kids master the division. Let’s learn a few tips and tricks for the divisibility rule of 216.

Know the multiples of 216:

Memorize the multiples of 216 (216, 432, 648, 864, etc.) to quickly check the divisibility.

Use the rules for 8 and 27:

Ensure the number is divisible by both 8 and 27. A number divisible by 216 must meet both conditions.

Repeat the process for large numbers:

Keep repeating the divisibility process until you reach a smaller number that is clearly divisible by 216.

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 determine whether a number is divisible by another number without performing full division.

• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 216 are 216, 432, 648, etc.

• Sum of digits: The total obtained by adding all the digits in a number.

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

• Division method: The mathematical operation of dividing one number by another to verify divisibility.