Prove if a prime p divides a1a2...an, then p divides some ai (ILIEKMATHPHYSICS)

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If p divides a1a2...an, then p divides some ai for i=1,2,...,n. Lec_26 Number Theory., If p divides a1a2...an, then p divides some ai for i=1,2,...,n. Lec_26 Number Theory.,
Prove if a prime p divides ab, then p divides a or b (ILIEKMATHPHYSICS) Prove if a prime p divides ab, then p divides a or b (ILIEKMATHPHYSICS)
If p is prime and p|a1a2...an, then p|ak . If p is prime and p|a1a2...an, then p|ak .
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