ELI5: Explain Like I'm 5

Regular number

A regular number is like a special type of number that has a particular characteristic. It's a number that can be formed by multiplying only by the numbers 2, 3, or 5. That may seem very strange, but here's how it works:

Suppose we start with the number 1. We can multiply it by either 2, 3 or 5 to get one of three new numbers: 2, 3, or 5. Now we can multiply each of these new numbers by 2, 3, or 5 again to get even more new numbers. We keep going like this, multiplying each new number we get by 2, 3, or 5 until we have a whole bunch of new numbers to work with.

What we're looking for are the numbers that we get by doing this multiplication who only have 2, 3, or 5 as factors. For example, the number 8 is not a regular number because it has 2 and 2 as factors in addition to 2, 3, and 5. However, the number 30 is a regular number because its only prime factors are 2, 3, and 5.

Regular numbers might seem strange or unusual, but they show up a lot in mathematics and can be used to help solve all sorts of interesting problems. And who knows, maybe you'll even discover some new ones!