Prime numbers, the building blocks of the mathematical world, have captivated mathematicians for centuries. These unique integers, divisible only by 1 and themselves, play a pivotal role in various mathematical and computer science applications, making them a fascinating subject of study, even for higher education students. For higher education students, understanding the deeper intricacies of prime factorization can lead to breakthroughs in fields like cryptography and data security. As students are introduced to more tools, we are able to explore the nature of prime numbers in a more profound way.