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GMATCRUSHER
- Junior | Next Rank: 30 Posts
- Posts: 14
- Joined: Sat Oct 11, 2008 2:43 pm
We're looking for a number with a "length" of six, which means six prime factors--but it has to be two digits. That is an indicator that we want to start low, since even 3^6 is well above two digits (729)
The lowest sequence of six primes we can have is 2 x 2 x 2 x 2 x 2 x 2 = 2^6 = 64. That's one. Now, the next lowest involves upping one of those twos to a three. 2 x 2 x 2 x 2 x 2 x 3 = 32 x 3 = 96. It's pretty clear we can't go any higher than this and stay under two digits, so our answer is (C), two.
