Visualizing Prime Factorization of a Given Number

This example demonstrates how to compute and display the prime factorization of a given integer in a clear, interactive way. It highlights the phenomenon that every integer can be expressed as a product of primes (up to ordering), and it presents the decomposition as structured text or a table for quick reading. The core math concepts include prime factors, divisibility, iterative factorization, and organizing factor-multiset data for display. Construction in GeoGebra: the built-in command PrimeFactors generates a list of prime factors from the user input; Append is used to accumulate factors into a working list (listA); Zip combines/encodes related lists into a single packaged structure; TableText outputs the factorization results as readable table text; LaTeX and Textfield format and present the results with mathematical typesetting and interactive input controls (objects such as text1–text7, InputBox1, a, n, l1, l2, listA). Suitable for middle-to-high school learners and classroom demos focused on number theory foundations and exploratory computation.