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# If x is the product of the positive integers from 1 to 8,

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Manager
Joined: 03 Oct 2008
Posts: 61
If x is the product of the positive integers from 1 to 8, [#permalink]

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07 Oct 2008, 10:28
1
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2^i3^k5^m7^p, then i + k + m + p =

A. 4
B. 7
C. 8
D. 11
E. 12

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Director
Joined: 01 Jan 2008
Posts: 601

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07 Oct 2008, 11:17
1*2*3*4*5*6*7*8 = 2^(1+2+1+3)*3^(1+1)*5^1*7^1 =2^7*3^2*5^1*7^1 -> 7+2+1+1=11 -> D
Manager
Joined: 15 Apr 2008
Posts: 159

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07 Oct 2008, 11:21
1

X-40320 which is 2^7*3^2*5^1*7^1
7+2+1+1=11

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This is not a quality discussion. It has been retired.

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Re: math   [#permalink] 07 Oct 2008, 11:21
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# If x is the product of the positive integers from 1 to 8,

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