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Quantitative Aptitude

Highest Power of a Number

115/7 n is an...

Question

$\frac{115}{7^{n}}$ is an integer. Find the highest possible value of n for this to be true.

A

15

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B

17

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C

16

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D

18

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Solution

The correct option is D 18
No of 7's in $115! = [\frac{115}{7}] + [\frac{115}{49}] =$ 16 + 2 = 18. Option (d) is correct.

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