Discussion
What is the highest power of 2 that divides 30! ?
Answer: B
To find the highest power of a prime p in n!, we use Legendre's formula: \(\lfloor n/p \rfloor + \lfloor n/p^2 \rfloor + ...\). Here, n=30 and p=2. The power is \(\lfloor 30/2 \rfloor + \lfloor 30/4 \rfloor + \lfloor 30/8 \rfloor + \lfloor 30/16 \rfloor = 15 + 7 + 3 + 1 = 26\). The highest power of 2 is 26.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development