8.C . For what least value of n where n is a natural number is : ${(15)}^{n}$ is divisible by $5$

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Solution

Factorization
$15 = 5 \times 3$
$15$ is divisible by $5$
${(15)}^{1}$ is divisible by $5$
$\Rightarrow n = 1$
Hence, the least value of $n i s 1$ .

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