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number properties

by sud21 » Thu Jan 12, 2012 9:40 am
If m is divisible by 3, how many prime factors does m have?
1). m/3 is divisible by 3.
2). m/3 has two different prime factors.
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Source: — Data Sufficiency |
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by neelgandham » Thu Jan 12, 2012 10:20 am
If m is divisible by 3, how many prime factors does m have?
1). m/3 is divisible by 3.

m = 3*3*K. Insufficient as K can be 2 or 2*5 or any integer
2). m/3 has two different prime factors.
If 2 and 3 are the two different prime factors of m/3 then m will have 2 different prime factors
If 2 and 5 are the two different prime factors of m/3 then m will have 3 different prime factors

From 1 and 2, X(a prime) and 3 are the two different prime factors of m. Sufficient
IMO C
Anil Gandham
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