Bridges 2011 Short Paper
A Representation for Whole Numbers and Their Factors
(Proceedings pages 543–546)
In this paper I will describe models for whole numbers and their
divisors using an adaptation of Hasse diagrams. The model gives us
a unique visual representation for each whole number, because they
are constructed based on the prime factorization of the numbers.
Since every number has a unique prime factorization, the model for
each number will be unique. The models are easy to make in the
classroom and yield beautiful constructions. But most importantly,
since they are a visual representation of important relations between
a number and its factors, many theorems can be ``rediscovered'' by
students when they investigate their constructions.