Question

Check weather 6^n can end with the digit 0 for any natural number n

Answer 1

Step-by-step explanation:

6^n

◆In order to be end with natural number n,it must be divisible by 2,5.

◆The prime factorization must contains 2,5 or both 2&5.

◆Prime factorization of 6^n contains (2×3)^n.

◆As it contains 3 ,it doesn't end with 0 for natural number n.

Answer 2

Answer:

6^n can't end with 0 as the prime factorisation of 6 = 2 × 3

As this factorisation contains 3 in it and not 5:

.°. 6^n can't end with 0