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# If n is the product of the integers from 1 to 8, inclusive,

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Manager
Joined: 08 Sep 2006
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If n is the product of the integers from 1 to 8, inclusive, [#permalink]

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22 Aug 2007, 11:22
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If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?

A) Four
B) Five
C) Six
D) Seven
E) Eight

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-n-is-the-product-of-the-integers-from-1-to-8-inclusive-135542.html
[Reveal] Spoiler: OA

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Manager
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Re: If n is the product of the integers from 1 to 8, inclusive, [#permalink]

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22 Aug 2007, 11:31
tinman1412 wrote:
If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?.

A)4
B)5
C)6
D)7
E)8

Am I reading this wrong. If you take the product of 1 to 8, it's 40,320. I am supposed to find all the prime factors for 40,320? Please explain

Ya u can say but no need to do this.. juss write 1*2*3*4*5*6*7*8
So 2,3 5,7 = 4 prime factors

Ans A

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Re: If n is the product of the integers from 1 to 8, inclusive, [#permalink]

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22 Aug 2007, 15:15
A

its the same as 1x2x3x4x5x6x7x8

1 is not a prime number, so we have 2, 3, 5, 7

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Re: If n is the product of the integers from 1 to 8, inclusive, [#permalink]

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07 Dec 2014, 13:19
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Re: If n is the product of the integers from 1 to 8, inclusive, [#permalink]

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08 Dec 2014, 03:12
tinman1412 wrote:
If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?

A) Four
B) Five
C) Six
D) Seven
E) Eight

n=8!, so it has 4 prime factors: 2, 3, 5, and 7.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-n-is-the-product-of-the-integers-from-1-to-8-inclusive-135542.html
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Kudos [?]: 129371 [0], given: 12197

Re: If n is the product of the integers from 1 to 8, inclusive,   [#permalink] 08 Dec 2014, 03:12
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