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# How many positive integers k are there such that 100k is a

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Manager
Joined: 10 Sep 2005
Posts: 164
Followers: 1

Kudos [?]: 10 [0], given: 0

How many positive integers k are there such that 100k is a [#permalink]  29 Oct 2005, 12:55
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How many positive integers k are there such that 100k is a factor of (22)(3)(53)?
Senior Manager
Joined: 02 Oct 2005
Posts: 306
Followers: 1

Kudos [?]: 3 [0], given: 0

Could you please check the question? It seems that question is wrong.

The product of given integers should be multiple of 100.
Manager
Joined: 10 Sep 2005
Posts: 164
Followers: 1

Kudos [?]: 10 [0], given: 0

correct version.....

How many positive integers k are there such that 100k is a factor of (2^2)(3)(5^3)?
Director
Joined: 24 Oct 2005
Posts: 577
Location: NYC
Followers: 1

Kudos [?]: 8 [0], given: 0

I might be completely off track here..
but solving 2^2*3*5^3 gives us 1500..
how many value of k's are there such that 100k is a factor of 1500.

only 1 right.. when k =15???
Senior Manager
Joined: 05 Oct 2005
Posts: 487
Followers: 1

Kudos [?]: 2 [0], given: 0

k can equal 1, 3,5,15.... so 4 possible values of k?

Basically factor out 1500/100 = 15....

is that right?
Current Student
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 159 [0], given: 2

now lets see...

100K=1500M in other words m is integer, K is an integer...

k=15M

well the question really is asking how many factors are there of 15....

factors of 15 are, 1, 3, 5, 15...4 factors...4 positive integers that can be K...
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