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Prime Factorization Quiz

Total questions: 20

Worksheet time: 51mins

Name
Class
Date
1.

What is a prime number?

a)

A prime number is a natural number less than 1 that cannot be formed by multiplying two smaller natural numbers.

b)

A prime number is a natural number that can be formed by multiplying two smaller natural numbers.

c)

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

d)

A prime number is a composite number that cannot be formed by multiplying two smaller composite numbers.

2.

What is factorization?

a)

Factorization is the process of adding two numbers together.

b)

Factorization is the process of breaking down a number or expression into its factors.

c)

Factorization is the process of finding the square root of a number.

d)

Factorization is the process of multiplying two numbers together.

3.

What is prime factorization?

a)

Prime factorization is the process of finding the prime numbers that multiply together to give a given number.

b)

Prime factorization is the process of finding the composite numbers that multiply together to give a given number.

c)

Prime factorization is the process of finding the factors of a number that are not prime.

d)

Prime factorization is the process of finding the largest prime number that divides a given number.

4.

What is a prime factor tree?

a)

A prime factor tree is a diagram that represents the prime factors of a given number.

b)

A prime factor tree is a type of tree that grows only in prime number forests.

c)

A prime factor tree is a mathematical equation that involves prime numbers.

d)

A prime factor tree is a tool used to calculate the sum of prime numbers.

5.

How do you find the prime factors of a number?

a)

Subtract the number by prime numbers until the difference becomes 1.

b)

Multiply the number by prime numbers until the product becomes 1.

c)

Divide the number by prime numbers until the quotient becomes 1.

d)

Add the number by prime numbers until the sum becomes 1.

6.

Is 2 a prime number?

a)

Maybe

b)

Sometimes

c)

No

d)

Yes

7.

What is the prime factorization of 12?

a)

3^2

b)

4 * 3

c)

2 * 6

d)

2^2 * 3

8.

What is the prime factorization of 20?

a)

2 x 2 x 5

b)

2 x 3 x 5

c)

2 x 10

d)

4 x 5

9.

What is the prime factorization of 36?

a)

2 * 2 * 3 * 3

b)

3 * 3 * 3 * 3

c)

2 * 2 * 2 * 2 * 2

d)

2 * 2 * 2 * 3

10.

What is the prime factorization of 50?

a)

2 x 25

b)

10 x 5

c)

2 x 5 x 5

d)

2 x 10 x 5

11.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
12.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
13.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

14.

Use a factor tree to find the prime factorization of 42

a)

4x4x3

b)

6x7

c)

7x3x2

d)

5x4x2

15.

Use a factor tree to find the prime factorization of 33

a)

33

b)

11x3

c)

10x3

d)

3x3x3x2

16.

Use a factor tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

17.
What are the prime factors of 30? 
a)
3, 2, 5 
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
18.
What is the prime factorization of 15?
a)
3x3x5
b)
1x15
c)
3x5
d)
15x1
19.

What is the GCF of 4 and 10?

a)

20

b)

2

c)

5

d)

40

20.

What is the GCF (Greatest Common Factor) of 12 and 30?

a)

4

b)

2

c)

5

d)

6