Factors in Factorials 2

For how many positive integer values of \(k\) is \({15}^k\) a factor of \(100!\)?

(A) 22     (B) 23      (C) 24     (D) 25      (E) 26

This problem is a variation on a theme. You should take a look at Factors in Factorials 1 before you jump into this one

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Do You Know Your Divisibility Rules

For which of the following values of \(n\) is \(\frac{120+n}{n}\) NOT an integer?

(A) \(3\)      (B) \(4\)      (C) \(5\)      (D) \(6\)      (E) [math]7[/math]

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An LCM DS Problem

Is x divisible by 12?

(1) x is divisible by 3 and 4.

(2) is divisible by 2 and 6.

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Factors in Factorials 1

For how many positive integer values of n is 5^n a factor of 50! ?

(A) 11      (B) 12      (C) 13      (D) 14      (E) 15

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