Number of zeros in the product of the first 100 numbers?

One Answer on this Question

1. 1×2×…100=100!
   Number of zeros in product of n numbers =[5n​]+[52n​]+[53n​]+…
   Number of zeros in product of 100 numbers =[5100​]+[52100​]+[53100​]
   where [.] is greatest integer function
   =[20]+[4]+[0.8]=20+4=24

   Reply