Number Classification Challenge: Is 14 Prime or Composite?

Is the number equal to n n prime or composite?

n=14 n=14

❤️ 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 Is the number composite or prime?
00:03 A prime number is only divisible by itself and 1
00:07 Therefore, if the number is divisible by another factor, it is not prime
00:11 The number has other factors, therefore it is composite
00:14 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

Is the number equal to n n prime or composite?

n=14 n=14

2

Step-by-step solution

To solve this problem, we'll determine if the number n=14 n = 14 is prime or composite by checking its divisibility by numbers other than 1 and 14 itself.

  • Step 1: Recognize that a prime number has only two distinct divisors: 1 and itself.
  • Step 2: A composite number has additional divisors.
  • Step 3: Start checking for divisibility from the smallest primes: 2, 3, 5, etc.

Now, let's work through these steps:

Step 1: Given n=14 n = 14 , check divisibility:
Since 14 is an even number, it is divisible by 2 (i.e., 14÷2=7 14 \div 2 = 7 ).

Step 2: As 2 is a divisor other than 1 and itself, 14 cannot be a prime number.

Step 3: Verify divisibility confirms that 14 is composed of factors 2×7 2 \times 7 .

Therefore, the solution to the problem is that the number 14 is composite.

3

Final Answer

Composite

Practice Quiz

Test your knowledge with interactive questions

Is the number equal to \( n \) prime or composite?

\( n=10 \)

🌟 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