define: Euelid's division lemma
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Euclid's lemma — If a prime p divides the product ab of two integers a and b, then p must divide at least one of those integers a and b. For example, if p = 19, a = 133, b = 143, then ab = 133 × 143 = 19019, and since this is divisible by 19, the lemma implies that one or both of 133 or 143 must be as well.
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In chemistry neutralization or neutralisation is a chemical reaction in which acid and a base react quantitatively with each other. In a reaction water,neutralization results in there being no excess of hydrogen or hydroxide ions present in the solution.
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