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  • The number of divisors a number 38808 can have, excluding 1 and the number itself isOption: 1 70  <

The number of divisors a number 38808 can have, excluding 1 and the number itself is

Option: 1

70
 


Option: 2

72
 


Option: 3

71
 


Option: 4

none of these


Answers (1)

Factorizing the given number, we have
38808=2^3 \cdot 3^2 \cdot 7^2 \cdot 11


Therefore the total number of divisors
=(3+1)(2+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

Posted by

Sumit Saini

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