Does 362880 = 9! = 2^7*3^4*5*7? Recognizing and Factoring factorials
Greg Fee, CECM
3:30pm, Wednesday May 21st, P9309 / P9318 (the Dean's old office space)
Abstract: Maple can easily compute and factor small factorials, but it starts to slow down after ifactor(100000!). Maple can compute one million factorial (1000000!) in about 1 second, but I killed it after one day when I attempted to factor it. Can we do better? Yes, first we create a procedure to recognize that a given positive integer is a factorial, that is we solve the equation n!=a for n with numerical methods, then we just feed n (not n!) into a special factorial factor procedure.