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Factoring Whole Numbers Test
About Factoring Whole Numbers:

Whole numbers larger than one fall into one of two categories: prime or composite. A prime number is one that is only divisible by itself or one. A composite number is divisible by some number other than itself or one. It will be useful to us to be able to break a number down into the product of prime factors.

Test Objectives:

•Demonstrate the ability to determine if a whole number is prime, composite, or neither

•Demonstrate the ability to construct a factor tree

•Demonstrate the ability to use a factor tree to find the prime factorization of a whole number

Factoring Whole Numbers Test:




#1:


Instructions: Determine if each number is prime, composite, or neither.


a) 17


b) 1


c) 150


d) 12


e) 13


f) 23


g) 110


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#2:


Instructions: Write each as a product of prime factors.


a) 135


b) 1800


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#3:


Instructions: Write each as a product of prime factors.


a) 680


b) 12,600


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#4:


Instructions: Write each as a product of prime factors.


a) 468


b) 3420


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#5:


Instructions: Write each as a product of prime factors.


a) 10,296


b) 2205


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Written Solutions:




#1:


Solution:


a) 17 - prime


b) 1 - neither


c) 150 - composite


d) 12 - composite


e) 13 - prime


f) 23 - prime


g) 110 - composite


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#2:


Solution:


a) 135 = 33 x 5


b) 1800 = 23 x 32 x 52


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#3:


Solution:


a) 680 = 23 x 5 x 17


b) 12,600 = 23 x 32 x 52 x 7


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#4:


Solution:


a) 468 = 22 x 32 x 13


b) 3420 = 22 x 32 x 5 x 19


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#5:


Solution:


a) 10,296 = 23 x 32 x 11 x 13


b) 2205 = 5 x 72 x 9


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