Divisibility Check: Is 8 Divisible by 2?

Q: What makes a number divisible by 2?

A number is divisible by 2 if it's even, meaning it ends in 0, 2, 4, 6, or 8. Since 8 ends in 8, it's automatically divisible by 2!

Q: Do I always need to do the actual division?

No! You can use the divisibility rule as a shortcut. Just check the last digit - if it's even, the whole number is divisible by 2.

Q: What if I get a remainder when dividing?

If there's a remainder, then the number is not divisible by 2. For example: $ 7 \div 2 = 3 \text{ R}1 $, so 7 is not divisible by 2.

Q: Is there a difference between 'divisible by 2' and 'even'?

No difference! These mean exactly the same thing. If a number is even, it's divisible by 2, and vice versa.

Q: Why does the divisibility rule for 2 work?

Every even number can be written as $ 2 \times \text{something} $. Since 2 is already a factor, the number divides evenly by 2 with no remainder!

Divisibility Rules with Even Numbers

Is the number 8 divisible by 2?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's determine if the number is divisible by 2. Ready?

00:07 If the ones digit is an even number, then it is divisible by 2.

00:12 Good news! The number is divisible by 2.

00:16 And that's how we find the solution to the question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Is the number 8 divisible by 2?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify if 8 is an even number.
Step 2: Apply the divisibility rule for 2.
Step 3: Determine if there is any remainder when dividing 8 by 2.

Now, let's work through each step:
Step 1: Observe that the number 8 is an even number because it ends in 8. Even numbers are defined as those ending in 0, 2, 4, 6, or 8.
Step 2: According to the divisibility rule for 2, any even number is divisible by 2. Thus, 8 is divisible by 2.
Step 3: To further verify, perform the division: $8 \div 2 = 4$ with a remainder of 0, confirming that 8 is indeed divisible by 2.

Therefore, the solution to the problem is Yes, and the correct answer is the choice having "Yes".

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Rule: All even numbers (ending in 0, 2, 4, 6, 8) are divisible by 2
Technique: Check last digit: 8 is even, so 8 ÷ 2 = 4
Check: Division gives whole number with remainder 0: 8 ÷ 2 = 4 R0 ✓

Common Mistakes

Avoid these frequent errors

Confusing divisibility with division difficulty
Don't think 8 ÷ 2 is hard because 8 is 'bigger' = wrong focus on size! This ignores the divisibility rule. Always check if the number ends in 0, 2, 4, 6, or 8 first - that immediately tells you it's divisible by 2.

Practice Quiz

Test your knowledge with interactive questions

Is the number 43 divisible by 4?

FAQ

Everything you need to know about this question

What makes a number divisible by 2?

A number is divisible by 2 if it's even, meaning it ends in 0, 2, 4, 6, or 8. Since 8 ends in 8, it's automatically divisible by 2!

Do I always need to do the actual division?

No! You can use the divisibility rule as a shortcut. Just check the last digit - if it's even, the whole number is divisible by 2.

What if I get a remainder when dividing?

If there's a remainder, then the number is not divisible by 2. For example: $7 \div 2 = 3 \text{ R}1$ , so 7 is not divisible by 2.

Is there a difference between 'divisible by 2' and 'even'?

No difference! These mean exactly the same thing. If a number is even, it's divisible by 2, and vice versa.

Why does the divisibility rule for 2 work?

Every even number can be written as $2 \times \text{something}$ . Since 2 is already a factor, the number divides evenly by 2 with no remainder!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Division - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime