Question

Prove that 5^n never ends with 0.where n is natural number

Answer 1

hey mate

here is your answer

by fundamental theorem of arithmetic,the factorization of 5 is unique.which is equal to 5*1.

if the number ends with 0 then it must have 2 as factor .but you see 5 doesn't have.

hence 5ⁿ never ends with 0.