Question

24!
3n
⇒ max(n) = ?
EZ

Answer 1

Hi,

10

Explanation:

`24!=1*2*3*4*5*6*...*24`

24! has 2 factors of 9 : 9 and 18\\

has 6 factors of 3 but not multiple of 9 : 3,6,12,15,21,24

Max factors of 3 is 2*2+6*1=10

Max(n)=10 (since positive)