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 < 1,000?	Choose the correct choice from the following answers.
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 2^9 = 512 &lt;1,000, then the greatest possible length of integer z is 9.   The answer is 9.
<result>C</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 < 1,000?