Math, asked by aaktaditya09, 1 year ago

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

Answers

Answered by pinky6837
3

Answer:

Yes

Step-by-step explanation:

6^n can end with 0 because 6^1 is 0 and 1 is a natural number


Tanuj213: your answer is wrong
pinky6837: Ok thanks for the right answer
Tanuj213: mention not.. :-)
Answered by Tanuj213
4

Answer:

6^n=(2x3)^n =2^n x 3^n

For a number to end with zero, the factors should be 2 or 5. But the only factor here we get are 2 and 3.

According to Fundamental Theorem of Arithmetic this factorization is unique. Hence 6^n can never end with zero.

Hope this helps

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