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Number of divisors of n = 38808 (except 1 and n) is
  • a)
    70
  • b)
    68
  • c)
    72
  • d)
    74
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Number of divisors of n = 38808 (except 1 and n) isa)70b)68c)72d)74Cor...
38808=2^3×3^2×7^2×11
the no of divisor =(3+1)(2+1)(2+1)(1+1)=72
72 -2=70
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Community Answer
Number of divisors of n = 38808 (except 1 and n) isa)70b)68c)72d)74Cor...
Factorizing the given number, we have
38808 = 23 . 32 . 72 . 11
Therefore 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
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