Question

X is the product of the integers from 1 to 50 inclusive. If 12n is a factor of x

Answer 1

12n=2(2n)∗3n12n=2(2n)∗3n

We have many 2's in the product of 1 to 50. thus we need to find number of 3's in product 1-50

1-30 = 10 + 1(9) + 1(18) +2(27)

31- 50 = 6(33- 48) + 1(36) + 1(45) = 22