If p and q are prime numbers, how many divisors does the product $\displaystyle p^3*q^6$ have?

Prime factorization would suggest that the answer is 18, but apparently it is 28. Please explain. Thanks.

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- Jun 19th 2011, 10:28 PMskyd171How many divisors does the product have?
If p and q are prime numbers, how many divisors does the product $\displaystyle p^3*q^6$ have?

Prime factorization would suggest that the answer is 18, but apparently it is 28. Please explain. Thanks. - Jun 19th 2011, 10:34 PMDrexel28Re: How many divisors does the product have?
- Jun 19th 2011, 10:41 PMskyd171Re: How many divisors does the product have?
wonderful. Is it correct that the sigma, in this context, means "the number of unique divisors of"?

- Jun 19th 2011, 10:43 PMDrexel28Re: How many divisors does the product have?
I don't know what unique divisor means, but it is the number of divisors, it is a special case of the more general divisor function.