Prime Factorization Practice

2 x 2 x 2  or 2³ is the prime factorization of

• 6
• 12
• 22
• 8

What number is never allowed in a factor tree? 

• 13 (it's bad luck!)
• 1 
• 8675309
• 2

Which is the prime factorization of 12? 

• 2 x 6
• 2 + 2 + 2 + 2 + 2 + 2 
• 2² x 3
• 1 x 2² x 3

Using a Factor Tree, find the prime factorization of 75.  

• 5² x 3
• 5 x 5 x 3
• 3² x 5
• 15 x 5

Use a number tree to find the prime factorization of 48

• 4x2x6
• 4x2²x3
• 3x2⁴
• 12x4

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

• 2⋅3⋅5⋅7
• 2³⋅3²⋅5⋅7
• 2²⋅3²⋅5⋅7
• 8⋅9⋅35

Create a factor tree and find the prime factorization for 80

• 2⁴⋅5
• 4²⋅5
• 2⋅2⋅2
• 8⋅5⋅2

Which of the following are all prime numbers

• 2, 3, 6, 7, 9
• 2, 4, 8, 16
• 2, 3, 5, 7, 9
• 2, 3, 5, 7, 11

Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct. 

• 4⋅2⋅5
• 2⋅3²⋅7
• 15²⋅7
• 7²⋅4²

In a power, an _______ is the the number that tells how many times the base is used as a factor.

• exponent
• base
• composite number
• prime number