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The number of divisors a number 38808 can have, excluding 1 and the number itself is
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a
70
b
72
c
71
d
None of these
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Correct option is A
Factorizing the given number, we have38808=23⋅32⋅72⋅11Therefore, the total number of divisors = (3 +1) (2 + 1) (1 + 1) – 1 = 71.But this includes the division by the number itself.Hence, the required number of divisors = 71 – 1 = 70.Similar Questions
The number of divisors of 240 which are of the form , is
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