Fundamentals

The greatest integer n such that (42)n divides 2011! is
(A)330
(B)331
(C)332
(D)333

2 Answers

1357
Manish Shankar ·

highest power of 7 is the key here..

because 42=2.3.7

So highest power of 7 is [2011/7]+[2011/49]+....

= 287+41+5=333

1
Vinay Arya ·

Yes.You are correct.
Thank you!

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