If t is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for ...
If t is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of t ?
Answer/Solution
14
Steps/Work
Answer is C.
numbers in format of 3^k in the series from 1 to 30 inclusive t are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.
numbers in format of 3^k in the series from 1 to 30 inclusive t are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.