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141 LearnersLast updated on February 12th, 2025
Divisibility Rule of 288
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 288.
What is the Divisibility Rule of 288?
The divisibility rule for 288 is a method by which we can find out if a number is divisible by 288 or not without using the division method. Check whether 5184 is divisible by 288 with the divisibility rule.
Step 1: Check if the number is divisible by 2. Since 5184 ends in 4, it is divisible by 2.
Step 2: Check if the number is divisible by 9. Sum the digits of 5184: 5+1+8+4=18. Since 18 is divisible by 9, 5184 is divisible by 9.
Step 3: Check if the number is divisible by 16. Take the last four digits (since 288 is (16 times 18)), which are 5184, and see if they are divisible by 16. 5184 divided by 16 equals 324, so 5184 is divisible by 16.
Since 5184 is divisible by 2, 9, and 16, it is divisible by 288.
Tips and Tricks for Divisibility Rule of 288
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 288:
Know the multiples of 288:
Memorize the multiples of 288 (288, 576, 864, etc.) to quickly check divisibility. If a number is divisible by these, it is divisible by 288.
Use the divisibility rules of 2, 9, and 16:
If a number is divisible by these three numbers, it is divisible by 288.
Repeat the process for large numbers:
Students should keep repeating the divisibility process on large numbers until they reach a small number that is divisible by 288.
Use the division method to verify:
Students can use the division method to verify and crosscheck their results. This will help them ensure accuracy and understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 288
The divisibility rule of 288 helps us quickly check if a given number is divisible by 288, but common mistakes like calculation errors lead to incorrect conclusions. Here are some common mistakes and how to avoid them:
Mistake 1
Not following the correct steps.
Ensure to check divisibility by 2, 9, and 16 in sequence.
Divisibility Rule of 288 Examples
Problem 1
Is 576 divisible by 288?
Yes, 576 is divisible by 288.
Explanation
To check if 576 is divisible by 288, divide 576 by 288.
1) Calculate 576 ÷ 288 = 2
2) Since the result is a whole number, 576 is divisible by 288.
Problem 2
Check the divisibility rule of 288 for 1152.
Yes, 1152 is divisible by 288.
Explanation
To check if 1152 is divisible by 288, divide 1152 by 288.
1) Calculate 1152 ÷ 288 = 4
2) Since the result is a whole number, 1152 is divisible by 288.
Problem 3
Is 864 divisible by 288?
Yes, 864 is divisible by 288.
Explanation
To check if 864 is divisible by 288, divide 864 by 288.
1) Calculate 864 ÷ 288 = 3
2) Since the result is a whole number, 864 is divisible by 288.
Problem 4
Can 500 be divisible by 288 following the divisibility rule?
No, 500 isn't divisible by 288.
Explanation
To check if 500 is divisible by 288, divide 500 by 288.
1) Calculate 500 ÷ 288 = 1.7361
2) Since the result is not a whole number, 500 is not divisible by 288.
Problem 5
Check the divisibility rule of 288 for 2304.
Yes, 2304 is divisible by 288.
Explanation
To check if 2304 is divisible by 288, divide 2304 by 288.
1) Calculate 2304 ÷ 288 = 8
2) Since the result is a whole number, 2304 is divisible by 288.
FAQs on Divisibility Rule of 288
1.What is the divisibility rule for 288?
2.How many numbers are there between 1 and 1000 that are divisible by 288?
3.Is 576 divisible by 288?
4.What if I get a remainder after dividing by any of the three numbers?
5.Does the divisibility rule of 288 apply to all integers?
Important Glossaries for Divisibility Rule of 288
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 288 are 288, 576, 864, etc.
- Integers: The numbers that include all whole numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits in a number.
- Divisibility: The ability of one integer to be divided by another without a remainder.
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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.
