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# 2^X)(3^Y) is the largest positive divisor of 8!*9!*10! Find

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SVP
Joined: 03 Feb 2003
Posts: 1604
2^X)(3^Y) is the largest positive divisor of 8!*9!*10! Find [#permalink]

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31 Aug 2003, 12:13
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

(2^X)(3^Y) is the largest positive divisor of 8!*9!*10!
Find the product XY.
Senior Manager
Joined: 22 May 2003
Posts: 329
Location: Uruguay

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31 Aug 2003, 15:34
x=22 y=10

x.y=220?
Intern
Joined: 17 Aug 2003
Posts: 38
Location: USA

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31 Aug 2003, 18:52
I also get X=22 and Y=10

find the prime factors of 10!, 9! and 8!. Count the number of 3's and the number of 2's

X.Y=220

Great question.
SVP
Joined: 03 Feb 2003
Posts: 1604

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05 Sep 2003, 10:07
camel wrote:
I also get X=22 and Y=10

find the prime factors of 10!, 9! and 8!. Count the number of 3's and the number of 2's

X.Y=220

Great question.

The core idea is correct.
I am lazy to check the ariphmetics.
05 Sep 2003, 10:07
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