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January 7th, 2012, 01:36 AM   #1
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Prime factorization and Stirling number

Hi, I am new to this forum. My question:

In how many ways can the number 10395 be factored in two or more factors, each greater than 1, with no regard to the order of factors? (10395 = 3 * 5 * 7 * 9 * 11)

It would have been easy if each number been a different prime number; that is just the Stirling number, but what to do now?

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January 13th, 2012, 05:49 AM   #2
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Try reading about Bell numbers.
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