223 LearnersLast updated on May 26th, 2025
Divisibility Rule of 72
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.
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
The divisibility rule of 72 helps us quickly check if a given number is divisible by 72, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not checking both conditions.
Ensure you check divisibility by both 8 and 9.
Divisibility Rule of 72 Examples
Problem 1
Is 144 divisible by 72?
Yes, 144 is divisible by 72.
Explanation
To determine if 144 is divisible by 72, consider the following:
1) Recognize that 144 is a multiple of 72, as 72 × 2 = 144.
2) Since 144 can be exactly divided by 72 with no remainder, it is divisible by 72.
Problem 2
Check if 288 is divisible by 72.
Yes, 288 is divisible by 72.
Explanation
To check divisibility of 288 by 72, follow these steps:
1) Note that dividing 288 by 72 gives an exact result: 288 ÷ 72 = 4.
2) Since there is no remainder, 288 is divisible by 72.
Problem 3
Is 360 divisible by 72?
Yes, 360 is divisible by 72.
Explanation
To verify if 360 is divisible by 72, use the following method:
1) Calculate the division: 360 ÷ 72 = 5.
2) Since this calculation results in a whole number, 360 is divisible by 72.
Problem 4
Can 500 be divisible by 72?
No, 500 is not divisible by 72.
Explanation
To determine if 500 is divisible by 72, consider:
1) Dividing 500 by 72 gives approximately 6.94, which is not a whole number.
2) Since the division does not result in a whole number, 500 is not divisible by 72.
Problem 5
Check the divisibility of 576 by 72.
Yes, 576 is divisible by 72.
Explanation
To confirm if 576 is divisible by 72, follow this process:
1) Perform the division: 576 ÷ 72 = 8.
2) As the result is an exact whole number, 576 is divisible by 72.
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?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 72?
7.What are some fun ways kids in United States can practice Divisibility Rule of 72 with numbers?
8.What role do numbers and Divisibility Rule of 72 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 72 skills?
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.
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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.
Fun Fact
: She loves to read number jokes and games.
