Two marks example problems III — task. Mathematics State Board, Class 10.

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Can the number

$6^n$ ,

$n$ being a natural number, end with the digit

$5$ ? Give a reason for your answer.

Answer:

$6^n$ cannot end with the digit $5$ .
$6^n$ can end with the digit $5$ .

Reason:

$6^n$ has the multiples that can end with the digit $5$ .
$6^n$ has the factor $2$ and so it must be an even number.

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