What is Divisibility by 2?

S1-SA1-0160

Grade Level:

Class 4

Maths, Computing, AI, Binary

Definition

What is it?

Divisibility by 2 means that a number can be divided by 2 without leaving any remainder. In simpler words, if you can share something equally between two people, that total number is divisible by 2. These numbers are also called even numbers.

Simple Example

Quick Example

Imagine you have 10 laddoos. Can you share them equally between two friends? Yes, each friend gets 5 laddoos, with none left over. So, 10 is divisible by 2.

Worked Example

Step-by-Step

Let's check if the number 74 is divisible by 2.

Step 1: Look at the last digit of the number. The last digit of 74 is 4.
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Step 2: Check if this last digit (4) is an even number (0, 2, 4, 6, or 8).
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Step 3: Yes, 4 is an even number.
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Step 4: Since the last digit is an even number, 74 is divisible by 2.

Answer: Yes, 74 is divisible by 2.

Why It Matters

Understanding divisibility by 2 is fundamental in Maths for simplifying fractions and understanding number patterns. In Computing, it's key to how computers process information using binary code (0s and 1s), where even numbers play a role in data organization. It's a building block for careers in software development, data science, and even financial analysis.

Common Mistakes

MISTAKE: Thinking a number is divisible by 2 just because it's a large number, like 135. | CORRECTION: Always check only the *last digit* of the number. If the last digit is 0, 2, 4, 6, or 8, then the number is divisible by 2. For 135, the last digit is 5, which is not even, so 135 is not divisible by 2.

MISTAKE: Confusing divisibility by 2 with divisibility by 5. | CORRECTION: Divisibility by 2 depends on the last digit being 0, 2, 4, 6, or 8. Divisibility by 5 depends on the last digit being 0 or 5. They are different rules.

MISTAKE: Forgetting that 0 is an even number and therefore numbers ending in 0 are divisible by 2. | CORRECTION: Remember the set of even digits: 0, 2, 4, 6, 8. Any number ending with any of these digits is divisible by 2. So, 20, 100, 560 are all divisible by 2.

Practice Questions

Try It Yourself

QUESTION: Is the number 86 divisible by 2? | ANSWER: Yes

QUESTION: Which of these numbers is NOT divisible by 2: 12, 34, 57, 90? | ANSWER: 57

QUESTION: A class has 35 students. Can they be divided into two equal teams for a cricket match without any student left out? Explain why or why not. | ANSWER: No, because 35 is an odd number (its last digit is 5), so it is not divisible by 2. You cannot make two equal teams.

MCQ

Quick Quiz

Which of the following numbers is divisible by 2?

123

457

890

761

The Correct Answer Is:

A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8. Only 890 has a last digit of 0, which is an even number. The other options end in odd digits (3, 7, 1).

Real World Connection

In the Real World

When you use a digital clock or a mobile phone, the time often changes every second. Many digital processes, like how your phone screen refreshes or how data is sent in packets, often use principles related to even and odd numbers to keep things organized and efficient. For example, in computer graphics, pixels are often arranged in even rows and columns for easier processing.

Key Vocabulary

Key Terms

DIVISIBLE: Can be divided exactly without a remainder | REMAINDER: The amount left over after division | EVEN NUMBER: A number that is divisible by 2 | ODD NUMBER: A number that is not divisible by 2 | LAST DIGIT: The digit in the ones place of a number

What's Next

What to Learn Next

Great job learning about divisibility by 2! Next, you can explore 'What is Divisibility by 3?' This rule also helps you quickly check numbers without long division and will build on your understanding of number properties.