Divisibility Rules: Does Divisibility by 10 Imply Divisibility by 2?

If a number is divisible by 10, is it also therefore 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
00:00 If a number is divisible by 10, is it also divisible by 2?
00:03 Let's take any number and divide it by 10
00:11 Let's break down 10 into factors 2 and 5
00:15 Therefore, any number divisible by 10 must also be divisible by 2
00:23 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If a number is divisible by 10, is it also therefore divisible by 2?

2

Step-by-step solution

The answer is yes - every number that is divisible by 10 is divisible by 2.

This can be learned through the divisibility rules of each number.

We know that to identify a number divisible by 10, we need to examine its ones digit,

only numbers whose ones digit is 0 are divisible by 10,

for example: 30, 510, 15610

We know that numbers whose ones digit is 0 are actually even numbers,

and even numbers are divisible by 2 without a remainder.

Therefore, we can be certain - every number that is divisible by 10 is also divisible by 2.

It's important to understand that this is not necessarily true in reverse, not every number that is divisible by 2 is also divisible by 10!

3

Final Answer

Yes.

Practice Quiz

Test your knowledge with interactive questions

Is the number 61 divisible by 10?

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations