Question

Number of divisors of $n = 38808$ (except 1 and n) is

• A. 70
• B. 68
• C. 72
• D. 74

Answer 1

Answer: (A)

70

Answer 2

Since 38808 = 8 × 4851

= 8 × 9 × 539 = 8 × 9 × 7 × 7 × 11

= $2^{3} \times 3^{2} \times 7^{2} \times 11$

So, number of divisors = (3 + 1) (2 + 1) (2 + 1) (1 + 2) – 2

= 72 – 2 = 70.