Prime numbers and composite numbers

A prime number is any natural number divisible only by two numbers, 1 and itself. A composite number is any natural number that can be written as the product of two smaller natural numbers

We can represent any natural number 𝑛 greater than 1 as an array of dots, corresponding to a product 𝑛=𝑎⋅𝑏, with 𝑎 representing the number of rows in the array and 𝑏 the number of columns. For example, 6 can be represented as an array of 2 ⋅ 3 or 3 ⋅ 2 dots, the order being unimportant, or a single string of 6 dots (1 ⋅ 6).

Using this system, it is easy to notice that numbers like 2, 3, 5, 7, 11, 13, just to mention the first, can be represented only by groups of dots consisting of a single row.

Numbers like 2, 3, 5, 7, 11, 13 cannot be represented by arrays having more than one row containing the same number of dots

A little bit of terminology

This geometrical representation as a single row of dots corresponds to the arithmetic concept of prime number. But…