Question

find a number n such that \(2^n\) is divisible by 10

Answer 1

how about n = 10?

Answer 2

NO such no exist

Answer 3

n = 10 -> 2^n = 1024, which is not divisible by 10.

it doesn't exist? prove it! :-D

Answer 4

For any no to be divisible by 10 it must have a factor of 5 in its prime factorization
5 can never occur in 2^n hence no such no exist

Answer 5

if we look at the powers of 2...
2
4
8
16
32
64
...obviously...2 does not have a power that will make it end in 0...so no such number does exist :))) i just guessed that 10 a while ago hehe

Answer 6

right

Answer 7

It doesn't exist. If you list the powers of 2, you will notice that they end with the following digits: 2, 4, 8, 6, and this will repeat forever in this order.