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Prime factorization

Total questions: 14

Worksheet time: 38mins

Name
Class
Date
1.
2 x 2 x 2  or 23 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
2.
Using a Factor Tree, find the prime factorization of 75.  
a)
52 x 3
b)
5 x 5 x 3
c)
32 x 5
d)
15 x 5
3.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
4.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
5.
Create a factor tree and find the prime factorization for 80
a)
24⋅5
b)
42⋅5
c)
2⋅2⋅2
d)
8⋅5⋅2
6.
Which of the following are all prime numbers
a)
2, 3, 6, 7, 9
b)
2, 4, 8, 16
c)
2, 3, 5, 7, 9
d)
2, 3, 5, 7, 11
7.
Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct. 
a)
4⋅2⋅5
b)
2⋅32⋅7
c)
152⋅7
d)
7²⋅4²
8.
In a power, an _______ is the the number that tells how many times the base is used as a factor.
a)
exponent
b)
base
c)
composite number
d)
prime number
9.
Write 144 in prime factorization. You can use the ladder or factor tree. Show your work.
a)
22 x 34
b)
24 x 32
c)
23 x 33
d)
24 x 33
10.
Write 76 in prime factorization. You can use the ladder or factor tree. Show your work.
a)
22 x 19
b)
2 x 192
c)
2 x 19
d)
22 x 192
11.
Write 384 in prime factorization. You can use the ladder or factor tree. Show your work.
a)
24 x 3
b)
26 x 3
c)
27 x 3
d)
25 x 3
12.
A composite number
a)
has more than 2 factors
b)
has one factor
c)
has at least 10 factors
d)
is always a really big number
13.
Which of these is NOT a factor of 36?
a)
2
b)
8
c)
12
d)
6
14.
One is 
a)
prime
b)
composite
c)
not prime or composite
d)
the loneliest number that you'll ever do