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# meaning of greatest positive divisor

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Manager
Joined: 14 Dec 2004
Posts: 116

Kudos [?]: 70 [0], given: 0

meaning of greatest positive divisor [#permalink]

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06 Jan 2005, 14:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Listed below is an old question which I think is not correct:

(2^K)*(3^C) is the greatest positive divisor of (9!)^3. Find the product KC

http://www.gmatclub.com/phpbb/viewtopic.php?t=1110

For example, if the question had asked what is the greatest positive divisor of 100, then the answer would be a 100, right?

Since 100 is a divisor of 100, then that definitely makes it the greatest divisor. Then for (9!)^3, the greatest positive divisor should equal (9!)^3.

If the question had instead stated,

(2^K)*(3^C) is a positive divisor of (9!)^3. Find the product KC

then I think the question makes sense. Can someone comment on whether my point is valid? Thanks.

Kudos [?]: 70 [0], given: 0

VP
Joined: 25 Nov 2004
Posts: 1481

Kudos [?]: 130 [0], given: 0

Re: meaning of greatest positive divisor [#permalink]

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06 Jan 2005, 21:03
cloaked_vessel wrote:
Listed below is an old question which I think is not correct:

(2^K)*(3^C) is the greatest positive divisor of (9!)^3. Find the product KC

http://www.gmatclub.com/phpbb/viewtopic.php?t=1110

For example, if the question had asked what is the greatest positive divisor of 100, then the answer would be a 100, right?

Since 100 is a divisor of 100, then that definitely makes it the greatest divisor. Then for (9!)^3, the greatest positive divisor should equal (9!)^3.

If the question had instead stated,

(2^K)*(3^C) is a positive divisor of (9!)^3. Find the product KC

then I think the question makes sense. Can someone comment on whether my point is valid? Thanks.

your points are valid. However, the question can be said as you outlined..........

Kudos [?]: 130 [0], given: 0

Director
Joined: 21 Sep 2004
Posts: 601

Kudos [?]: 36 [0], given: 0

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07 Jan 2005, 08:34
I still think 252 is correct.

Kudos [?]: 36 [0], given: 0

07 Jan 2005, 08:34
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# meaning of greatest positive divisor

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