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Name__________________________ Date: _____________________ Prime Factorization What is it? Breaking-down a composite number by the prime numbers it is made of. Why do we use it? It can be used to find the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of two or more numbers, to compare fractions with unlike denominators, and for recognizing patterns. This is how it’s done: Subsequent Division (monkey division) Prime #’s: 2, 3, 5, 7, 11, 13, 17 *Smallest primes first ALWAYS! 56 Write the answer using exponents: You’re not done ‘til you get to 1! Prime factorization is written using exponents, so instead of 2 2 2 7 we write… The Prime Factorization of 56 is: ________________