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# If the prime numbers p and t are the only prime factors of

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VP
Joined: 16 Jul 2009
Posts: 1482

Kudos [?]: 1457 [0], given: 2

Schools: CBS
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If the prime numbers p and t are the only prime factors of [#permalink]

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25 Jul 2009, 08:33
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If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of (p^2).t?
A) m has more than 9 positive factors
B) m is multiple of p^3
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Kudos [?]: 1457 [0], given: 2

Manager
Joined: 10 Jul 2009
Posts: 164

Kudos [?]: 117 [0], given: 8

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25 Jul 2009, 09:43

Kudos [?]: 117 [0], given: 8

SVP
Joined: 05 Jul 2006
Posts: 1751

Kudos [?]: 432 [0], given: 49

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25 Jul 2009, 13:36
noboru wrote:
If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of (p^2).t?
A) m has more than 9 positive factors
B) m is multiple of p^3

M = P^nT^z ,

question is asking whether n = >2

from a

assume that n=1,z= 4

factors become: 1,m,p,t,pt,t^2,t^3,t^4,t^2p,t^3p,t^4p........valid.............insuff

from b

if m = M = P^nT^z , and given n is at least 3.........suff

B

Kudos [?]: 432 [0], given: 49

Re: Prime numbers   [#permalink] 25 Jul 2009, 13:36
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