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题库 / GMATLA-PS-19
A positive integer n 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?
99
98
97
96
95
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the product of all the different positive prime factors of n 指的是n的所有“不同”的质因数的乘积 less than the square root of n
99 = 3*3*11 → 3*11 = 33 33的平方大于99 ×
98 = 2*7*7 → 2*7 = 14 14的平方大于98 ×
类推，96 = 2*2*2*2*2*3 = 2*3 = 6 6的平方小于96 √
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