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# In a certain game, a large container is filled with red,

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In a certain game, a large container is filled with red, [#permalink]

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19 May 2004, 11:27
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In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 0
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19 May 2004, 11:48
147,000 = 2^3 * 3 * 5^3 * 7^2
Since Red corresponds to 7, 2 Red beads must have been removed.
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19 May 2004, 11:54
Yep.

Prime factorization of 147000 = 2^3 * 3 * 5^3 * 7^2

19 May 2004, 11:54
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