Question: Let’s learn it...
A prime number has exactly two factors: 1 and itself
1. The problem states: "A prime number has exactly two factors: 1 and itself." This is a definition, not a problem to solve.
2. Important rule: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
3. Examples of prime numbers include $2$, $3$, $5$, $7$, $11$, etc.
4. Each prime number has exactly two distinct positive divisors: $1$ and the number itself.
5. For example, $5$ is prime because its only factors are $1$ and $5$.
6. In contrast, $6$ is not prime because it has factors $1$, $2$, $3$, and $6$.
This concept is fundamental in number theory and helps in understanding the building blocks of natural numbers.