A $k$-almost prime number is defined as a positive integer with exactly $k$ prime factors that are not necessarily

A $k$-almost prime number is defined as a positive integer with exactly $k$ prime factors that are not necessarily distinct. The third smallest $4$-almost prime number, less the fourth smallest $3$-almost prime number is

A. 6
B. 8
C. 16
D. 24
E. 28

Answer: C

Source: Manhattan GMAT

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