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# if f(m) denotes the product of even integers from 2 to

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Manager
Joined: 31 Dec 2003
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if f(m) denotes the product of even integers from 2 to [#permalink]

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07 Sep 2004, 03:48
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if f(m) denotes the product of even integers from 2 to m,such as f(12)=2*4*6*8*10*12 then if given f(24),the largest prime factor of its product is
a 23 b 19 c 17 d 11 e 7?

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Director
Joined: 16 Jun 2004
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07 Sep 2004, 04:06
D. 11.

F(24) = 2*4*6*8*10*12*14*16*18*20*22*24
=2*2^2*(2*3)*2^3*(2^2*3)*(2*7)*(2^4)*(2*3^2)*(2^2*5)*(2*11)*(2^3*3)

the largest prime factor is 11.

Kudos [?]: 65 [0], given: 0

07 Sep 2004, 04:06
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