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# Let p be the product of the positive integers between 1 and

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Manager
Joined: 21 Feb 2012
Posts: 66
Concentration: Finance, General Management
GMAT 1: 600 Q49 V23
GPA: 3.8
WE: Information Technology (Computer Software)
Let p be the product of the positive integers between 1 and  [#permalink]

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10 May 2012, 06:14
1
1
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:39) correct 14% (00:49) wrong based on 187 sessions

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Let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?

A. 1
B. 2
C. 3
D. 4
E. 5
Math Expert
Joined: 02 Sep 2009
Posts: 59708
Re: Let p be the product of the positive integers between 1 and  [#permalink]

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10 May 2012, 06:25
piyushksharma wrote:
Let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?

A. 1
B. 2
C. 3
D. 4
E. 5

There are 4 primes between 1 and 7, inclusive: 2, 3, 5, and 7, therefore p=1*2*...*7=7! has 4 distinct prime factors.

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Target Test Prep Representative
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Joined: 04 Mar 2011
Posts: 2809
Re: Let p be the product of the positive integers between 1 and  [#permalink]

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07 May 2018, 10:28
piyushksharma wrote:
Let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?

A. 1
B. 2
C. 3
D. 4
E. 5

We are given that p = 7!. Since the prime numbers from 1 to 7, inclusive, are 2, 3, 5, and 7, p will have have only these 4 primes numbers as distinct prime factors.

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Re: Let p be the product of the positive integers between 1 and   [#permalink] 07 May 2018, 10:28
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# Let p be the product of the positive integers between 1 and

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