2018 · Q7
The number of divisors of the number 38808, exclusive of the divisors 1 and itself, is
Elementary MathematicsAlgebra
- A74
- B72
- C70
- D68
Explanation
38808 = 2^3 x 3^2 x 7^2 x 11^1. The total number of divisors is (3+1)(2+1)(2+1)(1+1) = 72. Excluding 1 and the number itself leaves 72 - 2 = 70 divisors. Hence option C.