The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?  Select the correct option:
A) 13 B) 10 C) 9 D) 7 E) 6
To maximize the length of z we should minimize its prime base. The smallest prime is 2 and since 2^10=1,024&lt;1,080 then the greatest possible length of integer z is 10.   Answer: 10.
<result>B</result>
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?