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

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29 Oct 2005, 13:55
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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
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29 Oct 2005, 15:23
Could you please check the question? It seems that question is wrong.

The product of given integers should be multiple of 100.
Manager
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29 Oct 2005, 15:55
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
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29 Oct 2005, 18:25
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???
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29 Oct 2005, 18:30
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
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30 Oct 2005, 09:36
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...
30 Oct 2005, 09:36
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