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There are 6 ten-letter words beginning with FACTORI

FACTORIALS	• factorials n. Plural of factorial. • FACTORIAL n. the product of a series of factors; specifically the product of an integer and all lower integers.
FACTORINGS	• factorings n. Plural of factoring. • FACTORING n. the act of factoring.
FACTORISED	• factorised v. Simple past tense and past participle of factorise. • FACTORISE v. to reduce a number to its prime factors, also FACTORIZE.
FACTORISES	• factorises v. Third-person singular simple present indicative form of factorise. • FACTORISE v. to reduce a number to its prime factors, also FACTORIZE.
FACTORIZED	• factorized v. Simple past tense and past participle of factorize. • FACTORIZE v. to reduce a number to its prime factors, also FACTORISE.
FACTORIZES	• factorizes v. Third-person singular simple present indicative form of factorize. • FACTORIZE v. to reduce a number to its prime factors, also FACTORISE.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the WikWik.org and 1Word.ws.

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English Wiktionary: 9 words
Scrabble in French: 9 words
Scrabble in Spanish: no word
Scrabble in Italian: no word
Scrabble in German: no word
Scrabble in Romanian: 9 words

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