factorise|factorised|factorises|factorising in English

verb factorise (Brit.)

(Mathematics) separate into factors (also factorize)

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2. In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory.