Show that 12n can not end with the digit 0 or 5 for any natural number n.​

Question

Show that 12n can not end with
the digit 0 or 5 for any natural
number n.​

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Josephine 16 mins 2021-10-13T02:27:00+00:00 2 Answers 0 views 0

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    0
    2021-10-13T02:28:16+00:00

    Answer:

    Did you mean: Show that 12n cannot end with the digit 0 or 5 for any natural number n.

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    If 12n ends with the digit zero it must be divisible by 5. This is possible only if prime factorisation of 12n contains the prime number 5. This is possible only if prime factorisation of 12n contains the prime number 5. Hence, there is no value of n e N for which 12n ends with digit zero or five.

    Did you mean: Show that 12n cannot end with the digit 0 or 5 for any natural number n.

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    Featured snippet from the web

    If 12n ends with the digit zero it must be divisible by 5. This is possible only if prime factorisation of 12n contains the prime number 5. This is possible only if prime factorisation of 12n contains the prime number 5. Hence, there is no value of n e N for which 12n ends with digit zero or five.

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    0
    2021-10-13T02:28:30+00:00

    Answer:

    there is a mistake in the question

    12n can end in 0(when n is a 10 multiple)

    but 12n cannot end with zero

    only numbers of the form 5×(odd number) will end with zero

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