If N! = S where S is total number of seconds in six weeks then what is the value of N?

Question

If
a + b + c = 8
a.b.c = 27
then
Is there exist solution/s in (a,b,c) where a, b and c are positive real numbers?

Answer 1

I think it would be N=10 since:

N! = 6*7*24*60*60 = 1*2*3*7*(4*6)*(5*3*2*2)*60 = 1*2*3*4*5*6*7*(3*2*2*5*3*2*2) = 7!*(2*2*2)*(3*3)*(2*5) = 7!*8*9*10 = 10!

Comments

This is how to do it when you don't have a calculator handy ! Nice !

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Thanks for your comment. Regards.