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# A positive integer n is said to be prime-saturated if the

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Intern
Joined: 17 Oct 2008
Posts: 7
A positive integer n is said to be prime-saturated if the [#permalink]

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17 Oct 2008, 09:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?

A. 99
B. 98
C. 97
D. 96
E. 95
Manager
Joined: 14 Jan 2006
Posts: 95
Schools: HKUST

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17 Oct 2008, 11:02
product of prime factor < sqrt(n)
i.e, (product of prime factors)^2 < n

96 = 2^5 * 3 ^1

therefore, (2*3)^2 < 96

Hence, D
Re: integer   [#permalink] 17 Oct 2008, 11:02
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# A positive integer n is said to be prime-saturated if the

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