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Yes, recursion is a common way to implement factorial calculation because the definition of factorial is naturally recursive. However, iterative solutions are often preferred due to lower memory usage and better control over stack depth.
Yes, factorial-related problems frequently appear in beginner-level coding interviews. They test understanding of loops, recursion, base cases, and mathematical reasoning.
No special data structure is typically required for this problem. A simple variable to store the running factorial value is enough. If multiple factorials are stored, an array or list can be used to keep the sequence.
The optimal approach is usually an iterative method that maintains a running product while traversing from 1 to n. This avoids repeated calculations and keeps the time complexity linear. It also uses constant extra space.