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What is the hundreds digit of the smallest four digit number

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Manager
Joined: 02 Aug 2007
Posts: 145

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What is the hundreds digit of the smallest four digit number [#permalink]

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02 Nov 2007, 16:41
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What is the hundreds digit of the smallest four digit number in which the product of its digits is 350?

A. 2
B. 4
C. 5
D. 8
E. 9

Kudos [?]: 51 [0], given: 0

VP
Joined: 28 Mar 2006
Posts: 1367

Kudos [?]: 38 [0], given: 0

Re: PS - Hundreds Digits [#permalink]

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02 Nov 2007, 16:49
yuefei wrote:
What is the hundreds digit of the smallest four digit number in which the product of its digits is 350?

A. 2
B. 4
C. 5
D. 8
E. 9

Is it 2?

find factors for 350 2*5*5*7 so the smallest is 2

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Director
Joined: 11 Jun 2007
Posts: 910

Kudos [?]: 280 [0], given: 0

Re: PS - Hundreds Digits [#permalink]

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02 Nov 2007, 16:51
yuefei wrote:
What is the hundreds digit of the smallest four digit number in which the product of its digits is 350?

A. 2
B. 4
C. 5
D. 8
E. 9

it should be C 5

using prime factorization:
350 = 2*5*5*7

the smallest those four could be arranged is 2,557
and the hundreds digit is 5

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Re: PS - Hundreds Digits   [#permalink] 02 Nov 2007, 16:51
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