128 LearnersLast updated on May 26th, 2025
Divisibility Rule of 4
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 4.
What is the Divisibility Rule of 4?
The divisibility rule for 4 is a method by which we can find out if a number is divisible by 4 or not without using the division method. Check whether 204 is divisible by 4 with the divisibility rule.
Step 1: Check the last two digits of the number. In 204, the last two digits are 04.
Step 2: If the number formed by the last two digits is divisible by 4, then the entire number is divisible by 4. Since 04 is divisible by 4 (4 × 1 = 4), 204 is divisible by 4.
Tips and Tricks for Divisibility Rule of 4
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 4.
Know the multiples of 4:
Memorize the multiples of 4 (4, 8, 12, 16, 20, etc.) to quickly check divisibility. If the number formed by the last two digits is a multiple of 4, then the entire number is divisible by 4.
Repeat the process for large numbers:
Students should keep verifying the divisibility process until they reach a straightforward small number that is divisible by 4.
For example: Check if 1936 is divisible by 4 using the divisibility test.
Check the last two digits, which are 36.
Since 36 is divisible by 4 (4 × 9 = 36), 1936 is divisible by 4.
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 their answers and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 4
The divisibility rule of 4 helps us quickly check if a given number is divisible by 4, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the correct digits.
Students should check only the last two digits and see if they form a number divisible by 4.
Mistake 2
Miscalculating the divisibility of the last two digits.
Students should verify their calculations by checking if the number formed by the last two digits is in the list of known multiples of 4.
Mistake 3
Not repeating the process for verification.
Students often stop after a single check. They should verify their results to ensure accuracy, especially with larger numbers.
Mistake 4
Confusing the rule with other divisibility rules
Students should practice regularly to distinguish the rule for 4 from other divisibility rules.
Divisibility Rule of 4 Examples
Problem 1
Is the year 2024 a leap year, considering the divisibility rule of 4?
Yes, 2024 is a leap year.
Explanation
A year is a leap year if it is divisible by 4. To check if 2024 is divisible by 4, we look at the last two digits, 24. Since 24 is divisible by 4 (as 4 × 6 = 24), 2024 is a leap year.
Problem 2
Check if the number of pages in a novel, 316, is divisible by 4.
Yes, 316 is divisible by 4.
Explanation
To determine if 316 is divisible by 4, we examine the last two digits, 16. Since 16 is divisible by 4 (as 4 × 4 = 16), the total number of pages, 316, is divisible by 4.
Problem 3
Is the total capacity of a theater, 500 seats, divisible by 4 for even distribution across 4 sections?
No, 500 is not divisible by 4.
Explanation
To check if 500 is divisible by 4, we look at the last two digits, 00. Since 00 is divisible by 4, you might think 500 is divisible by 4. However, let's verify: 4 × 125 = 500. Upon closer inspection, 500 is indeed divisible by 4, as initially miscalculated. The answer should be corrected to Yes, 500 is divisible by 4.
Problem 4
Can a bundle of 452 sticks be evenly divided into groups of 4?
Yes, 452 can be divided evenly into groups of 4.
Explanation
To check if 452 is divisible by 4, we focus on the last two digits, 52. Since 52 is divisible by 4 (as 4 × 13 = 52), 452 can be divided evenly into groups of 4.
Problem 5
Determine if the total number of hours in a 72-hour marathon event can be evenly split into 4 equal parts.
Yes, 72 is divisible by 4.
Explanation
To find if 72 is divisible by 4, consider the last two digits, 72. Since 72 is divisible by 4 (as 4 × 18 = 72), the 72-hour event can be evenly divided into 4 equal parts.
FAQs on Divisibility Rule of 4
1.What is the divisibility rule for 4?
2.How many numbers are there between 1 and 100 that are divisible by 4?
3.Is 48 divisible by 4?
4.What if I get 0 after checking the last two digits?
5.Does the divisibility rule of 4 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 4?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 4 with numbers?
8.What role do numbers and Divisibility Rule of 4 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 4 skills?
Important Glossaries for Divisibility Rule of 4
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 4 if the last two digits form a number that is divisible by 4.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 4 are 4, 8, 12, 16, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Digits: Digits are the individual numbers that make up a larger number. For example, in the number 204, 2, 0, and 4 are digits.
- Verification: Verification is the process of confirming the accuracy of a result, often by using a different method such as direct division.
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About BrightChamps in United Kingdom
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.
