Question

The number of positive divisors of $4896$ is

• A. 32
• B. 34
• C. 36
• D. 38

Answer 1

Answer: (C)

$4896 =2^5 \times 3^2 \times 17$
$ = 32 \times 9 \times 17$
$(32,9) = 1,(9,17) = 1, (32,17) = 1$
$ \Rightarrow $ All are relatively prime numbers
$ \therefore $ Number of divisors of 4896 = number of divisors Of 32 $\times$ number Of divisors Of 9 $\times$ number of divisors of 17
$ = 6 \times 3 \times 2 = 36 $