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For how many positive integer values of n is 3^n a factor of 15! + 9!?

 Jul 30, 2021
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n ==1,  2,  3,  4 ==4 such integers.

 

15!+9! mod 3^1==0

15!+9! mod 3^2==0

15!+9! mod 3^3==0

15!+9! mod 3^4==0

 Jul 30, 2021

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