Picture
Numbers can measure the length of segments, which fit into one another.
This spreadsheet in the picture represents the length of the numbers, and counts each unit of a number as a cell in the spreadsheet. Every time 1 appears in the cell, that cell is a factor of the number on the left.
You can see how many factors a number has, and which factors a number has (every time 1 appears, the factor is on the top of the column).
If a number (the raw of the number) has only two cells with value 1, that number is a prime. The cells with value 1 appear in column C (representing number 1), and in the column of the number itself.
The first column is always a factor and has always value 1, as 1 is always a factor of any natural number.
The length of a factor is the same of the distance between two cells with value 1.
A segment fits into another one if it has the same size, or half of the size (for even numbers) or less than half (for composite numbers). Therefore cells with value 1 never appear in the second half of the numbers.





Leave a Reply.