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Factorization.

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Factorization.

by lenagmat » Tue Oct 25, 2011 6:58 am
How many prime factors does positive integer n have?

1). n/5 has only a prime factor.
2). 3n^2 has two different prime factors.
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Source: — Data Sufficiency |
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by GmatMathPro » Tue Oct 25, 2011 7:18 am
Statement 1: n/5 has only one prime factor. could be true for n=5^2 where n has one prime factor or for n=3*5 where n has two prime factors. INSUFFICIENT.

Statement 2: 3n^2 has two different prime factors. Could be true for n=5(1 prime factor) or n=3*5(two prime factors) INSUFFICIENT.

Statements 1&2: n=3*5 (2 prime factors) satisfies both statements. n=5^2 (1 prime factor) satisfies both statements. INSUFFICIENT

Ans: E
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