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

Correct answer : (4)
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.

Correct answer : (2)
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.

Correct answer : (4)
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.

Correct answer : (1)
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.

Correct answer : (2)
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.

Correct answer : (2)
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.

Correct answer : (2)
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.

Correct answer : (1)
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.

Correct answer : (1)
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.

Correct answer : (4)

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