What is the most efficient way to find the prime factors of a number?
Hello, I'm curious about finding the prime factors of a number. Could you please explain what the most efficient method is for achieving this? I've heard of trial division, but I'm wondering if there are more advanced techniques that can speed up the process, especially for larger numbers. Are there any specific algorithms or strategies that you recommend? I'm eager to learn more about this fascinating mathematical problem.
What is the best algorithm to find prime factors of a number?
Can you elaborate on the most efficient algorithm to identify the prime factors of a given number? Are there specific factors to consider, such as the number's size or its properties, that might influence the choice of algorithm? Additionally, are there any recent advancements or optimizations in this field that you'd recommend for achieving optimal performance?