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April 5th, 2014, 09:50 PM   #1
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divid

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

Last edited by skipjack; April 6th, 2014 at 04:28 AM.
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April 5th, 2014, 11:14 PM   #2
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Quote:
Originally Posted by mared View Post
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?

Last edited by skipjack; April 6th, 2014 at 04:31 AM.
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April 6th, 2014, 04:37 AM   #3
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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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