What is Divisibility by 4?

S1-SA1-0162

Grade Level:

Class 4

Maths, Computing, AI

Definition

What is it?

Divisibility by 4 means that when you divide a number by 4, the remainder is 0. In simpler words, a number is divisible by 4 if it can be split into four equal groups without anything left over.

Simple Example

Quick Example

Imagine you have 24 laddoos for a family function. If you want to put them into boxes of 4 laddoos each, you can make exactly 6 boxes (24 ÷ 4 = 6) with no laddoos left. So, 24 is divisible by 4.

Worked Example

Step-by-Step

Let's check if the number 348 is divisible by 4.
1. Look at the last two digits of the number. For 348, the last two digits are 48.
2. Now, check if this two-digit number (48) is divisible by 4.
3. We can divide 48 by 4: 48 ÷ 4.
4. 4 divided by 4 is 1. 8 divided by 4 is 2. So, 48 ÷ 4 = 12.
5. Since 48 is divisible by 4 (it gives a remainder of 0), the original number 348 is also divisible by 4.
ANSWER: Yes, 348 is divisible by 4.

Why It Matters

Understanding divisibility rules helps you quickly solve problems in Maths without long calculations. In computing, these rules are used in algorithms for efficient data processing and checking patterns. Future careers in software development, data science, or even game design often involve using such mathematical logic to create smart programs.

Common Mistakes

MISTAKE: Checking only the last digit. For example, thinking 26 is divisible by 4 because 6 is an even number. | CORRECTION: You must check the last TWO digits, not just the last one. The number formed by the last two digits must be divisible by 4.

MISTAKE: Confusing divisibility by 4 with divisibility by 2. For example, thinking 14 is divisible by 4 because it's an even number. | CORRECTION: All numbers divisible by 4 are even, but not all even numbers are divisible by 4. The rule for 4 is specific: the number formed by the last two digits must be divisible by 4.

MISTAKE: Miscalculating the division of the last two digits. For example, thinking 34 is divisible by 4 because 4 goes into 32. | CORRECTION: Always perform the division of the last two digits carefully. 34 divided by 4 is 8 with a remainder of 2, so 34 is not divisible by 4.

Practice Questions

Try It Yourself

QUESTION: Is 128 divisible by 4? | ANSWER: Yes

QUESTION: A bus travels 256 km. Can this distance be divided equally into segments of 4 km each? | ANSWER: Yes, 256 is divisible by 4 (256 ÷ 4 = 64).

QUESTION: Which of these numbers are divisible by 4: 412, 530, 700, 818? | ANSWER: 412 and 700

MCQ

Quick Quiz

Which of these numbers is NOT divisible by 4?

100

316

522

740

The Correct Answer Is:

For 100, the last two digits (00) are divisible by 4. For 316, 16 is divisible by 4. For 740, 40 is divisible by 4. For 522, the last two digits (22) are not divisible by 4.

Real World Connection

In the Real World

When planning your daily mobile data usage, if you have 2 GB (2048 MB) data and want to use it equally over 4 hours, you can use 512 MB per hour because 2048 is divisible by 4. Similarly, in cricket analytics, statisticians might quickly check if a batsman's total runs (like 124) are divisible by 4 to see if they scored in multiples of fours.

Key Vocabulary

Key Terms

DIVISIBILITY: The ability of one number to be divided by another number without a remainder | REMAINDER: The amount left over after a division | RULE: A guideline or test to check a property of numbers | DIGIT: A single symbol used to make numbers (0-9)

What's Next

What to Learn Next

Great job understanding divisibility by 4! Next, you can explore 'Divisibility by 8'. It builds on what you've learned about the last digits and will make you even faster at number calculations.