## 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

## 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) $7$

## An LCM DS Problem

Is x divisible by 12?

(1) x is divisible by 3 and 4.

(2) is divisible by 2 and 6.

## 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