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 ?\nOptions:\n(A) 99\n(B) 98\n(C) 97\n(D) 96\n(E) 95 Think first, then make a decision. Some random thoughts:
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A prime factors are 3 and 11. 33<sqrt(99)? no\nB prime factors are 2 and 7. 14<sqrt(98)? no\nC prime number. its sqrt is never greater than itself\nD A prime factors are 2 and 6. 6<sqrt(96)? yes\nE prime factors are 5 and 19. 45<sqrt(95)? no So the answer is (D).
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