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# Can the positive integer "p" be expressed as the product of

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Can the positive integer "p" be expressed as the product of [#permalink]  25 Mar 2005, 08:42
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Can the positive integer "p" be expressed as the product of two integers, each of which is greater than 1?

1. 31 < p < 37
2. p is odd
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Re: DS: integer p [#permalink]  25 Mar 2005, 10:01
If p can be expressed as the product of two integers, each being greater than 1, then p necessarily has to be a composite number (a non prime).

1 Says p is 32, 33, 34, 35 or 36. This is a set of composite numbers, so no matter what, p can be expressed as a product of two integers, each > 1. Hence sufficient.

2. Says p is odd. This does not provide us information if that odd number is prime or not. Hence this is insufficient.

Therefore, (A).
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Re: DS: integer p   [#permalink] 25 Mar 2005, 10:01
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