For any positive integer n, n>1, the "length" of n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choose the correct choice from the following.
A) 10
B) 9
C) 8
D) 7
E) 6
"For any positive integer n , n &gt; 1, the "length" of n is the number of positive primes (not distinct) whose product is n. For example, the length of 50 is 3 since 50 = (2)(5)(5)"   the lenght of 1000 = (2)(5)(2)(5)(2)(5) = 6   but we need n &lt; 1000   using 2 as the base = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 9 the length of 512.   the answer is (9)
<result>B</result>
For any positive integer n, n>1, the "length" of n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 3, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.