The conversation between human and AI assistant.
Is n! ever a perfect square?
Yes, that's correct. So, can you explain what a factorial is and what it means for a number to be a perfect square?
Sure! A factorial is the product of all positive integers from 1 to a given number. For example, 5! (read as "five factorial") equals 5 x 4 x 3 x 2 x 1 = 120. A perfect square is a number that is the product of a whole number multiplied by itself, such as 4 (which is 2 x 2) or 9 (which is 3 x 3).