n-m-Z-n-n-n-1-n-2-if-n-m-where-we-know-the-value-m-but-not-n-can-we-solve-for-n-

Question Number 4234 by Filup last updated on 04/Jan/16

n, m \in Z

n! = n (n - 1) (n - 2) \dots

if n! = m where we know the value

m but not n, can we solve for n ?

Commented by prakash jain last updated on 04/Jan/16

One option :

n = m / 2 / 3 / 4 / 5 / 6 . . until no more divisions

are possible .

m = 720

720 / 2 = 360, 360 / 3 = 120, 120 / 4 = 30, 30 / 5 = 6