Prime Factor Decomposition Interactive Demo: Random Composite Number with Expone

① This GeoGebra example dynamically demonstrates the prime factorization of a randomly generated composite number, showing its prime factors and their exponents. ② The core mathematical concept is prime factorization (unique factorization theorem) in number theory, involving primes, composites, exponents, and product representation. ③ Construction highlights: uses RandomElement and PrimeFactors commands to generate random prime factors and exponents; objects prime1~prime4, exp1~exp4 store the factors and exponents; variables rexp and rprime recombine them; text1 and text2 display the factorization; list l1 and button1 enable interactive refresh. ④ Suitable for middle school (upper grades) or high school number theory introduction, and useful for demonstrating random number generation and algorithmic thinking.