Maths/Real Numbers/Check whether there is any value of n for which ends with zero

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Questions / Check whether there is any value of n for which ends with zero

Maths / Real Numbers / Prime Factorization

QUESTION

Check whether there is any value of n for which $large 6^n$ ends with zero.

EXPLANATION

Explain Type	Explanation Content
Text	No,there is no value of n for which $6^n$ ends with zero. Explanation:If $large 6^n$ can ends with zero,its prime factorisation must have $2^n 5^m$ ,which is not true due to the 'Uniqueness of the fundamental theorem of Arithmetics'.