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gmat prep prime numbers

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by VerbalAttack » Mon Jun 09, 2008 1:07 am
Hi vinviper1,

h(100) = 2*4*...*100 ==> (1*2) * (2*2) * (3*2)...(50*2)

From the above breakdown, every prime number under 50 (<= 49) is a factor of h(100).

Now h(100)+1 will have none of the prime numbers under 50 (<=49) as a factor.

Think about this, 3 is a factor 6, 3 is not a factor of 6+1 or 6+2. Need to wait for 6+3 for the next multiple.
5 is a factor 10, 5 is not a factor of 10+1, 10+2, 10+3 or 10+4. Need to wait for 10+5 for the next multiple.

If N is a multiple of prime factor F, N+F is the next multiple of F.

So we are left with prime factors greater than 49.

Cheers
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by gmatinjuly » Mon Jun 09, 2008 3:46 am
Awesome reply Verbal Attack ...

Yeah it makes sense.....
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by vinviper1 » Mon Jun 09, 2008 7:36 pm
I second that! Cheers mate!
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by manu217 » Thu Jun 12, 2008 8:29 am
Hello VerbalAttack, could you please explain your reply?
The question states p is 'smallest prime factor', how did you get greater than 49?
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