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Last updated on February 15th, 2025

Divisibility Rule of 216

Q: What is the divisibility rule for 216?

A number is divisible by 216 if it is divisible by both 8 and 27. Check the last three digits for divisibility by 8, and sum the digits for divisibility by 9, then verify divisibility by 27.

Q: How many numbers are there between 1 and 1000 that are divisible by 216?

There are 4 numbers that can be divided by 216 between 1 and 1000. The numbers are 216, 432, 648, and 864.

Q: Is 648 divisible by 216?

Yes, because 648 is a multiple of 216 (648 ÷ 216 = 3).

Q: What if I get 0 after checking divisibility?

If you confirm divisibility by both 8 and 27, the number is divisible by 216.

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The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly and sorting things. In this topic, we will learn about the divisibility rule of 216.

What is the 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.

Tips and Tricks for Divisibility Rule of 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.

Common Mistakes and How to Avoid Them in Divisibility Rule of 216

Divisibility Rule of 216 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is the number of pages in a book, 432, divisible by 216?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

A shipment of 864 items needs to be packed into boxes, each holding 216 items. Can the items be packed evenly?

Explanation

Problem 3

A theater has 648 seats. Can they be arranged into sections of 216 seats each?

Explanation

Problem 4

Is the distance of 972 kilometers divisible by 216, perhaps for planning rest stops?

Explanation

Problem 5

A company is distributing 1080 promotional items evenly across locations, each receiving 216 items. Is this distribution possible?

Explanation

FAQs on Divisibility Rule of 216

1.What is the divisibility rule for 216?

2.How many numbers are there between 1 and 1000 that are divisible by 216?

3. Is 648 divisible by 216?

4.What if I get 0 after checking divisibility?

Important Glossaries for Divisibility Rule of 216

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.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.