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April 7th, 2013, 08:15 AM   #1
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Product of prime factors

Hi I am stuck on the question:

What is the smallest square number that is a multiple of 252

You need to use what you got in your answer to the first part of the question

Which was prime factor decomposition of 252 in which I got 2 squared times 3 squared times 7

Could someone tell me how would you work this out
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April 7th, 2013, 08:36 AM   #2
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Re: Product of prime factors



Square numbers can be written like this:



Because the power of the 7 is odd, we have to multiply it with 7. So the answer is:

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