a' is a prime number and a divides
p' then
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If p is prime and p divides a n then p divides a
If p is a prime and p divides a product a1a2 ···ak of integers, then p must divide at least one of the factors of the product. Proof. This is a consequence of Euclid's Lemma. We prove the result by induction on the number k of factors.
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