﻿ Prime Factorization Worksheets - Page 11 | Problems & Solutions # Prime Factorization Worksheets - Page 11

Prime Factorization Worksheets
• Page 11
101.
What is a composite number? a. Number having two factors, one and itself b. Number having infinite number of factors c. Number having only two factors d. Number having more than two factors

#### Solution:

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

102.
List all the prime numbers greater than 20 and less than 30. a. 17 and 19 b. 23 and 29 c. 23, 31, 29 d. 23 and 27

#### Solution:

A number that has only two factors, one and itself is called a prime number.

List of prime numbers greater than 20 and less than 30 are 23 and 29.

103.
Is 1 a prime number or a composite number? a. Prime b. Composite c. Both prime and composite d. Neither prime nor composite

#### Solution:

A number that has exactly two factors, 1 and itself is called a prime number.

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

To find whether 1 is a prime number or composite, draw the rectangles that can be made from exactly 1 square. The number 1 has exactly 1 factor, 1.

So, 1 is neither a prime nor a composite number.

104.
Is 5 a prime or a composite number? a. prime b. composite

#### Solution: To find whether 5 is a prime number or not, draw the rectangles that can be made from exactly 5 squares.

From the figure, 5 = 1 × 5

So, the factors of 5 are 1 and 5.

If a number has exactly two factors, 1 and itself, then the number is called a prime number.

So, 5 is a prime number.

105.
Is 6 a prime or a composite number? a. prime b. composite

#### Solution:

A number having exactly two factors, 1 and itself, is called a prime number.

A number that has more than two factors is called a composite number. To find whether 6 is a prime number or not, draw the rectangles that can be made from exactly 6 squares.

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

The number 6 has 4 factors.

6 is a composite number.

106.
Is 8 a prime or a composite number? a. prime b. composite

#### Solution:

To find whether 8 is a prime number or not, draw the rectangles that can be made from exactly 8 squares. For this, draw a 1 × 8 rectangle and 2 × 4 rectangle.

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

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

8 has 4 factors.

8 is a composite number.

107.
Is 10 a prime or a composite number? a. prime b. composite

#### Solution:

To find whether 10 is a prime number or not, draw the rectangles that can be made from exactly 10 squares. For this, draw a 1 × 10 rectangle and 2 × 5 rectangle.

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

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

10 has 4 factors.

10 is a composite number.

108.
Is 14 a prime or a composite number? a. composite b. prime

#### Solution:

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.

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

14 has 4 factors.

14 is a composite number.

109.
Is 16 a prime or a composite number? a. composite b. prime

#### Solution:

To find whether 16 is a prime number or not, 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.

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

16 has 5 factors.

16 is a composite number.

110.
Find the prime factorization of 86 using a factor tree. a. 43 × 3 b. 42 × 2 c. 42 × 3 d. 43 × 2

#### Solution: The factor tree of 86 is

The circled numbers in the factor tree are the prime factors of 86.

The prime factorization of 86 is 43 × 2.