Question

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

Answer 1

Answer:

no

Step-by-step explanation:

For 6^n to end with zero, the factorization of 6^n will contain a 5.

However,by fundamental theorem of arithematic, we can understand that the factorization of 6^n is unique

6^n=6x6x6x6x6x6....

5 does NOT appear in the factorization of 6^n. Thus,we can say that regardless of the value of n, 6^n will never end with zero

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