Q56 / 160 · TS EAMCET 2016 · Mathematics

The number of divisors of $7 !$ is

A
24
B
72
C
64
Correct answer
D
60

Solution

$\because 7 !=2^4 3^2 5^1 7^1$ $\therefore$ Number of divisors $$ \begin{aligned} & =5 \times 3 \times 2 \times 2 \\ & =60 \end{aligned} $$

Hence, the correct answer is option: 'D'.

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