A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?  Choose the most appropriate option:  A) 99  B) 98  C) 97  D) 96  E) 95
A prime factors are 3 and 11. 33&lt;sqrt(99)? no   B prime factors are 2 and 7. 14&lt;sqrt(98)? no   C prime number. its sqrt is never greater than itself   D A prime factors are 2 and 6. 6&lt;sqrt(96)? yes   E prime factors are 5 and 19. 45&lt;sqrt(95)? no   ANSWER:96
<result>D</result>
A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?