Table Of Contents

Table of Contents

161 Learners

Last updated on February 24th, 2025

Divisibility Rule of 72

Q: How many numbers are there between 1 and 500 that are divisible by 72?

There are 6 numbers divisible by 72 between 1 and 500. The numbers are 72, 144, 216, 288, 360, and 432.

Q: Is 288 divisible by 72?

Yes, because 288 is a multiple of 72 (72 × 4 = 288).

Q: What if I get a remainder when checking for 8 or 9?

If you get a remainder when checking for either 8 or 9, the number is not divisible by 72.

Q: Does the divisibility rule of 72 apply to all integers?

Yes, the divisibility rule of 72 applies to all integers.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 72.

What is the Divisibility Rule of 72?

The divisibility rule for 72 involves checking if a number is divisible by both 8 and 9, as 72 is the product of these two numbers (8 × 9 = 72). A number is divisible by 72 if it is divisible by both 8 and 9. Let's check whether 648 is divisible by 72 using the divisibility rule.

Step 1: Check divisibility by 8. A number is divisible by 8 if the last three digits form a number that is divisible by 8. Here, 648 ends in 648, and 648 ÷ 8 = 81, which is a whole number.

Step 2: Check divisibility by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. Here, 6 + 4 + 8 = 18, and 18 ÷ 9 = 2, which is a whole number.

Since 648 is divisible by both 8 and 9, it is divisible by 72.

$divisibility rule of 72$

Tips and Tricks for Divisibility Rule of 72

Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 72.

Know the multiples of 72: Memorize the multiples of 72 (72, 144, 216, 288, etc.) to quickly check divisibility. If the number is divisible by both 8 and 9, then it’s divisible by 72.

Check divisibility by 8 and 9 separately: It's quicker to check divisibility by smaller numbers separately to confirm divisibility by 72.

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 verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 72

Divisibility Rule of 72 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is 144 divisible by 72?

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

Explanation

Problem 2

Check if 288 is divisible by 72.

Explanation

Problem 3

Is 360 divisible by 72?

Explanation

Problem 4

Can 500 be divisible by 72?

Explanation

Problem 5

Check the divisibility of 576 by 72.

Explanation

FAQs on Divisibility Rule of 72

1. What is the divisibility rule for 72?

2.How many numbers are there between 1 and 500 that are divisible by 72?

3.Is 288 divisible by 72?

4.What if I get a remainder when checking for 8 or 9?

5.Does the divisibility rule of 72 apply to all integers?

Important Glossaries for Divisibility Rule of 72

Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

Multiple: A multiple is the result of multiplying a number by an integer. For example, multiples of 72 are 72, 144, 216, etc.

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

Sum of digits: This refers to adding all the digits of a number together.

Remainder: The amount left over after division when a number does not divide evenly.

$Math Teacher Image$

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.