Prime power

Okay kiddo, imagine you have a bunch of candies. One of your friends asks you to share the candies equally between a group of people. But here's the catch - you can only share them in groups of a certain number, for example, groups of 2 or 3 or 5.

So, a prime power is a number that can only be divided into equal groups (or parts) by dividing it by the same prime number over and over again.

Let's say you have 8 candies and you want to share them equally between your friends. You can divide them into groups of 2 easily, because 8 is 2 raised to the power of 3 (2*2*2 = 8). This means that 8 is a prime power of 2.

But if you have 9 candies, you can only divide them equally into groups of 3. That's because 9 is 3 raised to the power of 2 (3*3 = 9), which makes it a prime power of 3.

Basically, prime power is just a special number that can only be divided into equal groups using the same prime number repeatedly. Does that make sense, kiddo?