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# If n is a positive integer and the product of all the

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Joined: 10 Oct 2005
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If n is a positive integer and the product of all the [#permalink]

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10 Dec 2005, 16:16
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If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?

a) 8

b) 9

c) 10

d) 11

e) 12
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10 Dec 2005, 18:07

990 = 2*3^2*5*11

For products to be divisible by 990, it must contain 11.
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