Question

what power of 8 exactly divides 25! ?

Answer 1

hint : 8 = 2^3

Answer 2

ok if 8 is prime, answer would have been 25/8=3 but since it is not do like this.....

Answer 3

ok... 8=2*2*2. for divisibility by 8 we need three 2's.We add one to the power of 8 which divide 25!.TO count how we get 3 two's we do the following.....
All even no.s will give 1 two's at least 25/2=12
also all no.s in 25! is divisible by 2^2 will give us additional two's 25/2^2=6
further all no. in 25! is divisible by2^3------->3
and with 2^4------->1
so total number is 22,the answer.

Answer 4

Hope it's clear!! :O

Answer 5

does it has any other method

Answer 6

well idk, it's only the easiest method i know :D

Answer 7

since 25! has 22 two's it will be divided by 8 seven times. :)

Answer 8

Answer is 8^7......what's the answer?

Answer 9

(25/2)+(25/4)+(25/8)+(25/16) its easiest

Answer 10

oh.!! well then that's nice. Good for you.Thanks for the advice.

Answer 11

what i said is the same.....you just showed it in one go :)