Question

Number of divisors of the number $21600$ is

• A. $108$
• B. $24$
• C. $144$
• D. $72$

Answer 1

Answer: (D)

$72$

$21600=6\times 6\times 6\times 10\times 10$

$=3^3\times 2^5\times 5^2$

Number of divisors $=(3+1)(4+1)(2+1)$

$=72$