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An integer is the product of four prime numbers, two of

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Manager
Joined: 06 Jul 2005
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An integer is the product of four prime numbers, two of [#permalink]  25 Nov 2005, 16:47
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An integer is the product of four prime numbers, two of which are the same. How many factors does the integer have?
Senior Manager
Joined: 05 Oct 2005
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12

3 prime factors, 1 of them in its second power

x^(2) , y^(1) , z^(1)

(2+1)*(1+1)*(1+1)

= 12
SVP
Joined: 05 Apr 2005
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Re: Another PS [#permalink]  25 Nov 2005, 17:16
let a = 2
b=3
c=5
integer = a x a x b x c = 2x2x3x5=60
factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

altogather 12.
Manager
Joined: 06 Jul 2005
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Hey YB: I am little lost. How did you come up with that formula? Can you tell me the steps please?
SVP
Joined: 28 May 2005
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because we have 3 different prime nmuber

so factors shoud be 3! = 6

now the duplicate one will be repeated twice so total factors = 6*2 =12
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hey ya......

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