Question

Check whether 30^n can end with the digit 0 for any natural number n

Answer 1

we know that the number ending with the digit 0 it must contain a prime numbers of 2 and 5 , and the factor of 30 is 2, 5 and 3 where 2 and 5 both were present. so, we can say that 30n can end with the digit 0 for any natural number n.

Answer 2

Answer:

Yes!

Explanation:

30=5*2*3

30^n=5^n*2^n*3^n

As 5^n and 2^n are the factors of 30^n so, by the uniqueness of fundamental theorem of arithmetic, 30^n can end with the digit 0 for any natural number n.