<PRE><B>Question 21792</B>
How many factors, including 1, does the product of the first 9 primes divided by the product of the first seven primes have? I think the answer is 7
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No, I don&#39;t think it&#39;s that many.
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2×3×5×7×11×13×17×19×23
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2×3×5×7×11×13×17
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Cancel:
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&lt;s&gt;2&lt;/s&gt;×&lt;s&gt;3&lt;/s&gt;×&lt;s&gt;5&lt;/s&gt;×&lt;s&gt;7&lt;/s&gt;×&lt;s&gt;11&lt;/s&gt;×&lt;s&gt;13&lt;/s&gt;×&lt;s&gt;17&lt;/s&gt;×19×23
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&lt;s&gt;2&lt;/s&gt;×&lt;s&gt;3&lt;/s&gt;×&lt;s&gt;5&lt;/s&gt;×&lt;s&gt;7&lt;/s&gt;×&lt;s&gt;11&lt;/s&gt;×&lt;s&gt;13&lt;/s&gt;×&lt;s&gt;17&lt;/s&gt;
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That&#39;s 19×23 or 437.  Counting 1 and 437, how many factors of 437 are there?
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Edwin
AnlytcPhil@aol.com 
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