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118 LearnersLast updated on February 26th, 2025
Divisibility Rule of 908
The divisibility rule is a way to determine 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 908.
What is the Divisibility Rule of 908?
The divisibility rule for 908 is a method by which we can find out if a number is divisible by 908 or not without using the division method. Check whether 1816 is divisible by 908 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 4, and 227, as 908 = 2 × 2 × 227. Here, 1816 is divisible by 2 because it is an even number.
Step 2: Check divisibility by 4 by looking at the last two digits. If the last two digits form a number divisible by 4, then the number is divisible by 4. In 1816, the last two digits are 16, and 16 is divisible by 4.
Step 3: Divide the number by 227. 1816 ÷ 227 = 8, and 8 is an integer, meaning 1816 is divisible by 227.
Step 4: As 1816 is divisible by 2, 4, and 227, therefore, the number is divisible by 908.
Tips and Tricks for Divisibility Rule of 908
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 908.
Know the factors of 908:
Memorize the factors of 908 (2, 4, 227) to quickly check divisibility. If the number is divisible by all these factors, then it is divisible by 908.
Use shortcuts for small factors:
For divisibility by 2, check if the number is even. For divisibility by 4, check the last two digits.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they verify divisibility for large numbers. For example, check if 2724 is divisible by 908.
- 2724 is even, hence divisible by 2.
- Last two digits are 24, divisible by 4.
- 2724 ÷ 227 = 12, which is an integer.
Since 2724 is divisible by 2, 4, and 227, it is divisible by 908.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 908
The divisibility rule of 908 helps us quickly check if the given number is divisible by 908, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not checking all factors.
Students should ensure that the number is divisible by 2, 4, and 227 to confirm divisibility by 908.
Divisibility Rule of 908 Examples
Problem 1
Can 1816 be divided by 908 without leaving a remainder?
Yes, 1816 is divisible by 908.
Explanation
To determine if 1816 is divisible by 908, we first divide the number by 908. Since 1816 ÷ 908 = 2, which is a whole number with no remainder, 1816 is divisible by 908.
Problem 2
Is 2724 divisible by 908 using the divisibility rule?
Yes, 2724 is divisible by 908.
Explanation
To check if 2724 is divisible by 908, divide 2724 by 908. The result is 2724 ÷ 908 = 3, a whole number, indicating that 2724 is divisible by 908.
Problem 3
Check if 8172 is divisible by 908
No, 8172 is not divisible by 908.
Explanation
To verify the divisibility of 8172 by 908, divide the number by 908. The division 8172 ÷ 908 = 9 leaves a remainder, indicating that 8172 is not divisible by 908.
Problem 4
Verify if 0 is divisible by 908.
Yes, 0 is divisible by 908
Explanation
Any number, including 0, is divisible by 908 because 0 ÷ 908 = 0, which satisfies the condition of divisibility without leaving a remainder.
Problem 5
Is -2724 divisible by 908?
Yes, -2724 is divisible by 908.
Explanation
To check if -2724 is divisible by 908, consider the absolute value, which is 2724. As shown in Question 2, 2724 is divisible by 908. Therefore, -2724 is also divisible by 908, since multiplying by -1 does not affect divisibility.
FAQs on Divisibility Rule of 908
1.What is the divisibility rule for 908?
2.How many numbers are there between 1 and 1000 that are divisible by 908?
3.Is 2724 divisible by 908?
4.What if I get a remainder after dividing by 227?
5. Does the divisibility rule of 908 apply to all integers?
Important Glossaries for Divisibility Rule of 908
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Factors: Numbers that can be multiplied to obtain another number. For example, 2, 4, and 227 are factors of 908.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 227 are 227, 454, 681, etc.
- Integers: Whole numbers, including negative numbers, and zero.
- Division: A mathematical operation where a number is divided into equal parts or groups.
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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.
