Are there integers a, b and c such that a|bc, but $\displaystyle a \not | \ b$ and $\displaystyle a \not | \ c$?

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- Feb 3rd 2009, 11:08 AMArythDivisibility
Are there integers a, b and c such that a|bc, but $\displaystyle a \not | \ b$ and $\displaystyle a \not | \ c$?

- Feb 3rd 2009, 11:13 AMSimonM
a = 15, b = 3, c = 5