The largest natural number n such that 3^ n divides 66 ! is .....… - Vidyadip

MCQ

The largest natural number $n$ such that $3^{ n }$ divides $66 !$ is $............$.

A
$30$
✓
$31$
C
$32$
D
$33$

✓

Answer

Correct option: B.

$31$

b
${\left[\frac{66}{3}\right]+\left[\frac{66}{9}\right]+\left[\frac{66}{27}\right]}$

$22+7+2=31$

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