if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 !
"solution - consider multiples of 25 ! = > 3 , 6,9 , 12,15 , 18,21 , 24,27 count no . of 3 in each multiple . 3 = 3 x 1 - > 1 6 = 3 x 2 - > 1 9 = 3 x 3 - > 2 12 = 3 x 4 - > 1 15 = 3 x 5 - > 1 18 = 3 x 3 x 2 - > 2 21 = 3 x 7 - > 1 24 = 3 x 8 - > 1 27 = 3 x 3 x 3 - > 3 - - - - count 3 ' s = 13 so answer is 13 answer : a"
add(floor(divide(28, 3)), floor(divide(28, power(3, const_2))))