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
$=6\times 3\times 2=36$