To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Prime Factorization Worksheets - Page 13

Prime Factorization Worksheets
  • Page 13
 121.  
Is 60 a prime or a composite number?
a.
Prime
b.
Composite
c.
Both prime and composite
d.
Neither prime nor composite


Solution:

The factors of 60 = 2 × 2 × 3 × 5.

A composite number is a number that has more than two factors.

So, 60 is a composite number.
[It has more than 2 factors.]


Correct answer : (2)
 122.  
Is 13 a prime or a composite number?
a.
Prime
b.
Composite
c.
Both prime and composite
d.
Neither prime nor composite


Solution:

The number 13 has no factors except one and itself.

A number which has no factors other than 1 and itself is called a prime number.

So, 13 is a prime number.


Correct answer : (1)
 123.  
What would be the prime factorization of the number 210?
a.
2 x 7 x 15
b.
6 x 35
c.
2 x 3 x 5 x 7
d.
None of the above


Solution:



So, the prime factorization of 210 = 2 x 3 x 5 x 7.


Correct answer : (3)
 124.  
What would be the prime factorization of the number 105?
a.
3 x 5 x 7
b.
15 x 7
c.
3 x 35
d.
none of the above


Solution:



So, the prime factorization of 105 is 3 x 5 x 7.


Correct answer : (1)
 125.  
What is the prime factorization of the number 1001?
a.
13 × 77
b.
11 × 91
c.
11 × 91
d.
7 × 11 × 13


Solution:



So, the prime factorization of 1001 is 7 × 11 × 13.


Correct answer : (4)
 126.  
Express the prime factorization of the number 72 using exponents.
a.
23 × 31
b.
23 × 32
c.
22 × 33
d.
none of the above


Solution:



The prime factorization of 72 = 2 × 2 × 2 × 3 × 3.

2 × 2 × 2 × 3 × 3 = 23 × 32
[Convert product form to exponential form.]

The prime factorization of 72 in exponential form is 23 × 32.


Correct answer : (2)
 127.  
Express the prime factorization of the number 90 using exponents.
a.
6 × 3 × 5
b.
2 × 32 × 5
c.
2 × 31 × 15
d.
6 × 15


Solution:



The prime factorization of 90 = 2 × 3 × 3 × 5.

2 × 3 × 3 × 5 = 2 × 32 × 5
[Convert product form to exponential form.]

The prime factorization of 90 in exponential form is 2 × 32 × 5.


Correct answer : (2)
 128.  
A prime factor is a positive integer with __________ factors.
a.
Three
b.
Two
c.
One
d.
None of the above


Solution:

A prime factor is a positive integer with two factors, one and itself.

So, the appropriate term in the blank is two.


Correct answer : (2)
 129.  
A prime factor is a positive integer that consists of factors, one and __________.
a.
many more
b.
one
c.
itself
d.
None of the above


Solution:

A prime factor is a positive integer that consists of two factors, one and itself.

So, the appropriate term in the blank is itself.


Correct answer : (3)
 130.  
Express the prime factorization of the number 375 using exponents.
a.
32 × 5
b.
15 × 75
c.
3 × 52
d.
3 × 53


Solution:



The prime factorization of 375 = 3 × 5 × 5 × 5.

3 × 5 × 5 × 5 = 3 × 53
[Convert product form to exponential form.]

The prime factorization of 375 in exponential form is 3 × 53.


Correct answer : (4)

*AP and SAT are registered trademarks of the College Board.