Question

8. Check whether 6^n can never end with 0 for any natural number n. ​

Answer 1

Answer:

6^n can never end with the digit 0 for any natural number because it does not contain 5 as a prime factor, but it contains 2 and 3 as a prime factors.

Step-by-step explanation:

Firstly, using prime factorisation method,

6^n = (2 × 3)^n

.°. Prime factorisation of 6^n does not contain 5 as a prime factor.

Hence, 6^n can never end with the digit 0 for any natural number because it does not contain 5 as a prime factor, but it contains 2 and 3 as a prime factors.