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Find the number of positive divisors of 9!.

 Mar 19, 2019
 #1
avatar+929 
+3

Prime factor 9!:

 

3^2 x 2^3 x 7 x 2 x 3 x 5 x 2^2 x 3 x 2 = 2^7 x 3^4 x 5 x 7

 

So, the number of factors is 8 x 5 x 2 x 2 = 160.

 Mar 19, 2019
 #2
avatar+140 
+2

thanks

CorbellaB.15  Mar 19, 2019

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