Prime Factorization Visualization with PrimeFactors

This example demonstrates how an integer is decomposed into its prime factors and visualizes the result in a structured, text/table-friendly form (often complemented by bar/graph-style organization). It focuses on the mathematical ideas of prime factorization, prime numbers, and representing the factorization as a product of primes with corresponding multiplicities. The construction uses GeoGebra commands and objects to generate and present the data: PrimeFactors computes the prime factors of the input n; Append incrementally builds lists (e.g., listA); Zip packages multiple lists into paired structures suitable for table output; TableText displays the formatted results; and LaTeX plus Textfield are used to render the factorization expression and provide interactive inputs (via InputBox1). The referenced objects (text1–text8, a, b, n, L, L1, listA) support displaying the decomposition and guiding user interaction. Suitable for middle and high school number theory lessons and classroom explorations of factorization and data representation.