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mared April 5th, 2014 09:50 PM

divid
 
Prove that
( 14578 )^3 × ( 14575 )^3 divides by 3.

Dacu April 5th, 2014 11:14 PM

Quote:

Originally Posted by mared (Post 189603)
Prove that
( 14578 )^3 × ( 14575 )^3 divides by 3.

If you are talking about $\displaystyle 14578^3 \cdot 14575^3$,then it is not true! What is the condition that the number to be divided by 3?

skipjack April 6th, 2014 04:37 AM

I assume that 14578³ - 14575³ was intended. As the terms have the same digital root, this expression is divisible by 9.


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