Here's a problem I have as written:
What is the largest whole number that MUST be a factor of for all whole numbers ?
It isn't clear to me exactly, but I think the question wants an actual number, i.e., NOT something involving n. After finding the value of the expression for different values of n:
n = 1 ==> 0
n = 2 ==> 0
n = 3 ==> 120
n = 4 ==> 720
n = 5 ==> 2520
n = 6 ==> 6720
I'm inclined to think the answer is 120, but I have no way of proving it or understanding WHY it is 120. Seems like a random number to me.
Also, note that (if this is helpful), the expression factors to:
Any insight would be appreciated!