Tip:A–D to answerE for explanationV for videoS to reveal answer
The largest natural number n such that 3n divides 66! is ______.
- A.
31
(Correct Answer) - B.
32
- C.
33
- D.
34
Explanation
We have,
[366]=22
[3266]=7
[3366]=2
Highest powers of 3 is greater than 66. So, their g.i.f. is always 0.
∴Required natural number=22+7+2=31
Explanation
We have,
[366]=22
[3266]=7
[3366]=2
Highest powers of 3 is greater than 66. So, their g.i.f. is always 0.
∴Required natural number=22+7+2=31
