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Number obtained by the sum of digits of 3^n where n>1, can we say this number is always divisible by 9 why or why not?

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Number obtained by the sum of digits of 3^n where n>1, can we say this number is always divisible by 9 why or why not?
posted Jul 21, 2018 by anonymous

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1 Answer

+1 vote

Yes
As per divisibility rule, sum of the digits of number must be divisible by 9.
We can state that 3^n is divisible by 9 as 3^n=9*3^(n-2) where n is positive integer >1. Since it is divisible by 9, the sum of its digits is divisible by 9.

answer Jul 21, 2018 by Hanifa Mammadov



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