Number Classification: Is n=4 Prime or Composite?

Question

Is the number equal to n n prime or composite?

n=4 n=4

Video Solution

Step-by-Step Solution

To determine if the number n=4 n = 4 is prime or composite, we will follow these steps:

  • Step 1: Understand the definitions.
    A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A composite number has additional divisors.
  • Step 2: Identify divisors of 4.
    We list out the divisors of 4, starting from 1: They are 1, 2, and 4.
  • Step 3: Analyze the divisors.
    The number 4 has more than two divisors: 1, 2, and 4. This means it can be divided by numbers other than 1 and itself.

Conclusion: Since 4 has divisors other than 1 and itself (specifically, it is divisible by 2), it is not a prime number. Therefore, 4 is classified as a composite number.

Therefore, the solution to the problem is Composite.

Answer

Composite