ELI5: Explain Like I'm 5

Fundamental unit (number theory)

Imagine you have a bunch of toys in your room. Some of these toys can be divided into pieces, so they are not the most basic unit. But there are some toys that are just one piece, like a ball or a teddy bear. These toys are called fundamental units because they can't be divided anymore.

In number theory, we also have fundamental units. But instead of toys, we have numbers. Some numbers can be divided into smaller pieces, like 12 (which can be divided into 2, 3, 4, and 6). But there are some numbers that can't be divided into smaller pieces, except for dividing by 1 (which is not really dividing). These are the fundamental units in number theory. We call them prime numbers.

Some examples of prime numbers are 2, 3, 5, 7, 11, and 13. They can't be divided into smaller pieces, and they are very important in number theory. We use them to solve problems and make predictions about other numbers.

So, just like you have fundamental toys in your room, number theory has fundamental units called prime numbers. And just like you play with your toys and have fun, mathematicians play with prime numbers and have fun too!