If e, f, and g are distinct positive prime numbers, then (e^3)(f)(g) has how many different positive factors greater than 1?
Answers:
A) a. 8  B) b. 9  C) c. 12  D) d. 11  E) e. 27
Let Number is (e^3)(f)(g) = (1^3)(6)(10) = 60   We can write 60 as product of two numbers in following ways   1*60   2*30   3*20   4*15   5*12   6*10   6cases = 6*2 i.e. 12 factors (including 1)   Factors greater than 1 = 11   Answer: Option d. 11
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If e, f, and g are distinct positive prime numbers, then (e^3)(f)(g) has how many different positive factors greater than 1?