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Proof by mathematical induction

The number of...

Question

The number of positive divisors of $4896$ is:

A

32

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B

34

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C

36

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D

38

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Solution

The correct option is D $36$
We have, $4896 = 2^{5} \times 3^{2} \times 17^{1}$
$∴$ Number of positive divisors $= (1 + 5) (1 + 2) (1 + 1) = 36$

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