If you are fond of playing with numbers or studying math, you might have come across a variety of divisibility rules. These rules help to identify if a number is divisible by another number without the need for lengthy calculations. In this article, we will be discussing the Divisibility Rule for 4, which is an essential rule in arithmetic. We will cover the basics of this rule, its applications, and how to use it effectively.
What is Divisibility Rule for 4?
Divisibility Rule for 4 is a mathematical shortcut to determine if a number is divisible by 4 or not. In simple words, if a number is divisible by 4, it means that when we divide the number by 4, the remainder is zero. This rule states that any number whose last two digits are divisible by 4 is itself divisible by 4.
Examples
- 876 is divisible by 4 because its last two digits (76) are divisible by 4.
- 532 is not divisible by 4 because its last two digits (32) are not divisible by 4.
How to apply Divisibility Rule for 4?
The rule is easy to apply and can save a lot of time in calculations. All you need to do is to check the last two digits of the number, and if they are divisible by 4, then the entire number is also divisible by 4. If the last two digits of the number are not divisible by 4, then the number is not divisible by 4.
Steps
- Take the given number, for example, 984.
- Check the last two digits of the number, i.e., 84.
- If the last two digits are divisible by 4, then the entire number is divisible by 4. In this case, 84 is divisible by 4, so 984 is also divisible by 4.
Why is the Divisibility Rule for 4 important?
Divisibility rules are essential for many practical applications in everyday life, especially in the fields of math, science, and technology. They provide quick and easy methods to solve complex problems and save time in lengthy calculations. The Divisibility Rule for 4 is particularly useful in digital systems, where the numbers are represented in binary form. In such systems, it is easy to identify the last two digits of a number, making it easier to determine if the number is divisible by 4 or not.
FAQs
Is the Divisibility Rule for 4 applicable to all numbers?
No, the rule is only applicable to whole numbers.
Can the Divisibility Rule for 4 be applied to decimal numbers?
No, the rule is not applicable to decimal numbers.
Can the Divisibility Rule for 4 be used for numbers other than 4?
Yes, there are divisibility rules for other numbers, such as 3, 5, 6, 9, etc.
Why is the Divisibility Rule for 4 important?
The rule is important as it provides a quick and easy method to determine if a number is divisible by 4, which can save a lot of time in calculations and is particularly useful in digital systems.
What is the difference between the Divisibility Rule for 4 and other divisibility rules?
The Divisibility Rule for 4 is specific to the number 4, while other divisibility rules are applicable to different numbers.
Overall, understanding the Divisibility Rule for 4 is an essential concept in arithmetic, and it can help students to solve problems quickly and effectively. By knowing this rule, you can save a lot of time in calculations and avoid making mistakes. So, practice this rule and apply it to solve different types of problems to become proficient in arithmetic.
Conclusion
The Divisibility Rule for 4 is a simple and effective mathematical shortcut that helps to determine if a number is divisible by 4 or not. It is easy to apply and can save a lot of time in calculations.
This rule is important in various practical applications, especially in digital systems, where it is easy to identify the last two digits of a number. Understanding this rule can help students to solve problems more efficiently and effectively.