Question

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

Answer 1

Answer:

NO, IT CAN'T END WITH 0.

Step-by-step explanation:

LET'S PRIME FACTORIZE THE NUMBER 6^n

THEN WE WOULD GET :

6^n = 2^n × 3^n

    ∴ THERE ARE NO ZEROES IN THE PRIME FACTORIZATION OF 6.

        HENCE, 6 CANNOT END WITH 0.

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Answer 2

Answer:

Let us take the example of a number which ends with the digit 0 So, 10 = 2 5 100 = 2 2 5 5 Here we note that numbers ending with 0 has both 2 and 5 as their prime factors Whereas 6n = (2 3) n Does not have 5 as a prime factor. So, it does not end with zero. Therefore, 6n cannot end with zero for any natural number n

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