Some question: 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 answer\n(E) 95
Some stream of consciousness:
User
The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer: (D).
Assistant