Question

if n is an integer and 2^n is a factor of 1*2*3*4*5*6*7*8*9, what is the greatest possible value of n?

Answer 1

`1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9=\\ 1\cdot2\cdot3\cdot2^2\cdot5\cdot2\cdot3\cdot7\cdot2^3\cdot9=\\ 2^(7)\cdot1\cdot3\cdot5\cdot3\cdot7\cdot9`

So it's
`n=7`.