Prime Factorization Worksheets

**Page 10**

91.

Is 2 a prime or a composite number?

a. | Prime | ||

b. | Composite |

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

To find whether 2 is a prime number or composite, draw the rectangles that can be made from exactly 2 squares.

The dimensions of the rectangle show that the factors of 2 are 1 and 2.

So, 2 is a prime number.

Correct answer : (1)

92.

Is 4 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Neither prime nor composite |

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

To find whether 4 is a prime number or composite, draw the rectangles that can be made from exactly 4 squares.

The dimensions of the rectangle show that the factors of 4 are 1, 2 and 4.

The number 4 has 3 factors.

So, 4 is a composite number.

Correct answer : (2)

93.

Is 8 a prime or a composite number?

a. | Prime | ||

b. | Neither prime nor composite | ||

c. | Composite |

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

To find whether 8 is a prime number or composite, draw the rectangles that can be made from exactly 8 squares.

The dimensions of the rectangle show that the factors of 8 are 1, 2, 4 and 8.

The number 8 has 4 factors.

So, 8 is a composite number.

Correct answer : (3)

94.

Is 3 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Both prime and composite | ||

d. | Neither prime nor composite |

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

To find whether 3 is a prime number or composite, draw the rectangles that can be made from exactly 3 squares.

The dimensions of the rectangle show that the factors of 3 are 1 and 3.

So, 3 is a prime number.

Correct answer : (1)

95.

Is 12 a prime or a composite number?

a. | Prime | ||

b. | Composite |

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

To find whether 12 is a prime number or not, draw the rectangles that can be made from exactly 12 squares.

The dimensions of the rectangle show that the factors of 12 are 1, 2, 3, 4, 6 and 12.

The number 12 has 6 factors.

So, 12 is a composite number.

Correct answer : (2)

96.

Is 14 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Neither prime nor composite |

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

To find whether 14 is a prime number or not, draw the rectangles that can be made from exactly 14 squares.

The dimensions of the rectangle show that the factors of 14 are 1, 2, 7 and 14.

The number 14 has 4 factors.

So, 14 is a composite number.

Correct answer : (2)

97.

Is 16 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Neither prime nor composite |

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

To find whether 16 is a prime number or composite, draw the rectangles that can be made from exactly 16 squares.

The dimensions of the rectangle show that the factors of 16 are 1, 2, 4, 8 and 16.

The number 16 has 5 factors.

So, 16 is a composite number.

Correct answer : (2)

98.

Is 20 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Neither prime nor composite |

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

To find whether 20 is a prime number or not, draw the rectangles that can be made from exactly 20 squares.

The dimensions of the rectangle show that the factors of 20 are 1, 2, 4, 5, 10 and 20.

The number 20 has 6 factors.

So, 20 is a composite number.

Correct answer : (2)

99.

Find the prime factorization of 66 using a factor tree.

a. | 11 ^{1} × 3^{1} × 2^{1} | ||

b. | 11 ^{2} × 3^{1} × 2^{1} | ||

c. | 11 ^{1} × 3^{1} × 3^{1} | ||

d. | 11 ^{1} × 3^{1} × 2^{2} |

The factor tree of 66 is:

[66 = 11 × 6, 6 = 3 × 2]

The circled numbers in the factor tree are the prime factors of 66.

66 = 11 × 3 × 2

66 = 11

[Write in the form of exponents.]

The prime factorization of 66 is 11

Correct answer : (1)

100.

What is a prime number?

a. | Number having two factors, one and itself. | ||

b. | Number having more than two factors. | ||

c. | Number having infinite number of factors. | ||

d. | Number having only two factors, other than one and itself. |

Correct answer : (1)