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 mared April 5th, 2014 10:50 PM

divid

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

 Dacu April 6th, 2014 12:14 AM

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 05:37 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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