Is 7 Prime or Composite? Number Classification Challenge

Is the number equal to $n$ prime or composite?

$n=7$

To determine whether the number $n = 7$ is prime or composite, we follow these steps:

• Step 1: Acknowledge the definition of prime numbers. A prime number is any number greater than 1 that has no divisors other than 1 and itself.
• Step 2: We begin by checking if the number $7$ is greater than 1. Since $7 > 1$, it is eligible to be considered a prime number.
• Step 3: We examine whether $7$ has any divisors other than 1 and itself.
• Step 4: For a number to be composite, it must have additional divisors apart from 1 and itself. Let's check the possible divisors.
• Step 5: Since 7 is a small number, its divisors would be smaller than $\sqrt{7} \approx 2.64$. The only whole number less than or equal to 2 not including 1 is 2.
• Step 6: We check divisibility: 7 divided by 2 is not a whole number, confirming 7 is not divisible by any number other than 1 and itself.

Therefore, we conclude that the number $n = 7$ is indeed a Prime number.