Yes, numbers that have only one prime factor in their list are called prime powers. These numbers are of the form $p^k$, where:

• $p$ is a prime number (e.g., 2, 3, 5, 7, etc.), and
• $k$ is a positive integer greater than or equal to 1.

For example:

• $2^3 = 8$ has only one prime factor, which is 2.
• $3^2 = 9$ has only one prime factor, which is 3.
• $5^1 = 5$ has only one prime factor, which is 5.

In each of these cases, the prime number is repeated multiple times as a factor (depending on $k$).

Would you like more detailed examples or an explanation of how prime powers work?

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Here are 5 related questions:

1. What is the prime factorization of a number like 36?
2. How do we determine if a number is a prime power?
3. Can a number with two or more different prime factors be considered a prime power?
4. What is the significance of prime numbers in number theory?
5. How do prime powers differ from composite numbers?

Tip: Any prime number itself is also considered a prime power where $k = 1$. For example, 5 is both a prime number and a prime power.