Question

Check whether 6^n can end with the digit 0,where n is any natural number

Answer 1

Answer:

No, it cannot.

Step-by-step explanation:

In any power of 6, the unit digit will always be 6 except when n=0, it will be 1. This is due to the fact the last digit will always come from 6*6*6*6... = .....6

Answer 2

Answer:

6^n cannot end with 0

Step-by-step explanation:

If 6^n were to end with 0, it would be divisible by 5,

i.e., 5 would be a prime factor of 6^n.

But we know that,

6^n= (3x2)^n = 3^n x 2^n

i.e., By the uniqueness of fundamental theorem of arithmetic,

3 and 2 are the only prime numbers of 6^n,

Hence 6^n cannot end with 0