briefly explanation of what power of 8 exactly divides 25! ?

Hi Deva, 8 = 2^3 We need to find power of 2 in 25! [25/2] = 12 [12/2] = 6 [6/2] = 3 [3/2] = 1 power of 2 in 25! is 22 power of 8 = [22/3] = 7 Therefore, power of 8 in 25! = 7 Hope this helps!