Source: Official Guide for the GMAT 13th Ed. Problem Solving; #116 Official Guide for the GMAT 2015 14th Ed. Problem Solving; #116

2

If p is the product of the

If p is the product of the integers from 1 to 30 inclusive, what is the greatest integer k for which 3 is a factor of p?

2 Explanations

4

Finding the number of powers of a prime number p in a factorial n!, can be done using the formula: n/p+n/p^2 +n/p^3 +?+n/p^x , where p^x?n and each n/p^x is rounded to the lowest whole number.

Sep 23, 2014 • Comment

4

Gravatar Mike McGarry, Magoosh Tutor

Dec 28, 2013 • Comment

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Section 5.3 Problem Solving

Section 5.3 Problem Solving

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