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									EXAMPLE 2     Identifying Prime and Composite Numbers

 Write all the factors of the number and tell whether it
 is prime or composite.

 Number     Factors                Prime or Composite?
 a. 32      1, 2, 4, 8, 16, 32     composite
 b. 39      1, 3, 13, 39           composite
 c. 43      1, 43                  prime
 d. 76      1, 2, 4, 19, 38, 76    composite
 e. 149     1, 149                 prime
 f. 121     1, 11, 121             composite
EXAMPLE 3      Writing Prime Factorization

 Write the prime factorization of 450.

 Three factor trees are shown. Notice that each
 factor tree produces the same prime factorization,
 differing only in the order of the factors.




 So, 450 = 2 3 3 5 5.
EXAMPLE 3     Writing Prime Factorization

 ANSWER

 Using exponents, the prime factorization of 450
 is 2 • 32 • 52
GUIDED PRACTICE        for Examples 2 and 3

 Tell whether the number is prime or composite. If it is
 composite, write its prime factorization using
 exponents.

 6. 24

    ANSWER
   Composite; It has positive factors other then 1 and
   itself.
    Using exponents, the prime factorization of 24 is 23 • 3
GUIDED PRACTICE        for Examples 2 and 3

 Tell whether the number is prime or composite. If it is
 composite, write its prime factorization using
 exponents.

 7. 51

    ANSWER
   Composite; It has positive factors other then 1 and
   itself.
    Using exponents, the prime factorization of 51 is 3 • 17
GUIDED PRACTICE        for Examples 2 and 3

 Tell whether the number is prime or composite. If it is
 composite, write its prime factorization using
 exponents.

 8. 73

    ANSWER
   Prime; only positive factors are 1 and itself.
GUIDED PRACTICE        for Examples 2 and 3

 Tell whether the number is prime or composite. If it is
 composite, write its prime factorization using
 exponents.

 9. 560

   ANSWER
   Composite; It has positive factors other then 1 and
   itself.
   Using exponents, the prime factorization of 560 is
   24 • 5 • 7

								
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