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I mean the statement that if $p$ is prime and divides a product then it divides at least one of the factors.

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  • $\begingroup$ I assume you mean it divides at least one of the factors. Either is a bit ambiguous here. $\endgroup$ Commented Nov 18 at 13:16
  • $\begingroup$ Yes, of course, sorry. $\endgroup$ Commented Nov 18 at 18:08

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