Question

2^k is the largest power of 2 the is a factor of (9!). What is k

Answer 1

Explanation:

9!

= 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9

= ... * 2¹ ... * 2² ... * (2 * 3) ... * 2³

= 2⁷ ...

Hence k is 7.