Envision Math 2.0: Grade 6, Volume 1
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2. Find Greatest Common Factor and Least Common Multiple
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Exercise 18 Page 128

The prime factorization of a composite number is the number written as a product of its prime factors.

prime

Practice makes perfect
Let's start by recalling the definition of two important terms.
Term Definition Examples
Prime Number A number that has exactly two positive factors, 1 and itself. 3, 5, 13
Composite Number A number that is not a prime number. 4, 12, 63

Note that the only two factors of 47 are 1 and itself. Therefore, 47 is a prime number and it does not have a prime factorization.