Question

Show that 8n cannot end with digit zero for any natural number n.............:- )

Answer 1

here is your ans...

if the number 8n,for any n, were to end with the digit 0 ,then it would be divisible by 5

but this is not possible because 8n =( 2 x 2x 2 )n

hence there is no 5 in the factorization of a 8

then find the fundamental theorem of arithmetic there is no other no facorisation of 8n

so there is no N for which the number 8n end with the digit 0

hope this will help you