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

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Manager
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How many positive integers k are there such that 100k is a [#permalink] New post 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
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 [#permalink] New post 29 Oct 2005, 14:23
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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 [#permalink] New post 29 Oct 2005, 14:55
correct version.....

How many positive integers k are there such that 100k is a factor of (2^2)(3)(5^3)?
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 [#permalink] New post 29 Oct 2005, 17:25
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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 [#permalink] New post 29 Oct 2005, 17:30
k can equal 1, 3,5,15.... so 4 possible values of k?

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

is that right?
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 [#permalink] New post 30 Oct 2005, 08:36
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...
  [#permalink] 30 Oct 2005, 08:36
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How many positive integers k are there such that 100k is a

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