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Factors and Multiples - 6

Description: Factors and Multiples - 6
Number of Questions: 21
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Tags: Factors and Multiples - 6 Understanding Factors and Multiples Factors and prime numbers Properties of Transversal of Parallel Lines
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How can 54 be represented as the product of prime numbers?

  1. 3 × 2 × 8

  2. 2 × 2 × 11

  3. 3 × 2 × 3 × 3

  4. 3 × 2 × 9


Correct Option: C
Explanation:

Prime factors of 54 = 2 × 3 × 3 × 3

Which of the following numbers is not a prime number?

  1. 109

  2. 119

  3. 139

  4. 149


Correct Option: B
Explanation:

119 is not a prime number as it has more than 2 factors. The factors 119 are 1, 7, 17, 119.

Which of the following numbers is composite?

  1. 129

  2. 107

  3. 97

  4. 96


Correct Option: D
Explanation:

96 is a composite number.

Which of the following numbers is prime?

  1. 78

  2. 89

  3. 94

  4. 102


Correct Option: B
Explanation:

89 is a prime number.

Which of the following sets of numbers are the prime numbers less than 10?

  1. 2, 4, 6, 8

  2. 1, 3, 5, 7, 9

  3. 2, 3, 5, 7

  4. 1, 2, 3, 5, 7


Correct Option: C
Explanation:

Prime numbers less than 10 are 2, 3, 5 and 7.

Every _____ number can be written as the product of prime numbers.

  1. whole

  2. prime

  3. composite

  4. both 1 and 3


Correct Option: C
Explanation:

composite

Which of the following sets of numbers are the prime numbers greater than 30 and less than 40?

  1. 31, 33, 35, 37, 39

  2. 31, 37

  3. 31, 33, 37

  4. 31, 33, 37, 39


Correct Option: B
Explanation:

Prime numbers between 30 and 40 are 31 and 37.

The numbers _____ and _______ are neither prime nor composite.

  1. 0 and 0

  2. 0 and 1

  3. 1 and 2

  4. 1 and 3


Correct Option: B
Explanation:

0 and 1 are neither prime nor composite.

Which of the following numbers is not composite?

  1. 12

  2. 17

  3. 22

  4. 26


Correct Option: B
Explanation:

17 is not a composite number.

How can 242 be represented as the product of prime numbers?

  1. 11 × 11

  2. 2 × 2 × 11

  3. 2 × 11

  4. 2 × 11 × 11


Correct Option: D
Explanation:

Prime factors of 242 = 2 × 11 × 11

Which of the following numbers is the greatest prime number less than 100?

  1. 99

  2. 98

  3. 97

  4. 95


Correct Option: C
Explanation:

The greatest prime number less than 100 is 97.

How can 74 be represented as the product of prime numbers?

  1. 2 × 37

  2. 23 × 37

  3. 22 × 37

  4. 24 × 37


Correct Option: A
Explanation:

Prime factors of 74 = 2 × 37

How can 343 be represented as the product of prime numbers?

  1. 78

  2. 76

  3. 75

  4. 73


Correct Option: D
Explanation:

Prime factors of 343 = 7 × 7 × 7 or 73

Which of the following sets of numbers are the prime numbers greater than 20 and less than 30?

  1. 23, 37, 29

  2. 23 and 27

  3. 23 and 29

  4. 17 and 19


Correct Option: C
Explanation:

Prime numbers between 20 and 30 are 23 and 29.

Which of the following options is same as 56?

  1. 71 × 22

  2. 73 × 21

  3. 71 × 23

  4. 72 × 21


Correct Option: C
Explanation:

Prime factors of 56 = 2 × 2 × 2 × 7 or 23 × 7

How can 220 be represented as the product of prime numbers?

  1. 22 × 5 × 11

  2. 22 × 3 × 11

  3. 2 × 5 × 11

  4. 23 × 5 × 11


Correct Option: A
Explanation:

Prime factors of 220 = 2 × 2 × 5 × 11 or 22 × 5 × 11

Which of the following sets of numbers represents the prime numbers between 6 and 21?

  1. 7, 9, 11, 13, 17, 19

  2. 7, 8, 10, 12, 14, 16, 18

  3. 7, 11, 13, 17

  4. 7, 11, 13, 17, 19


Correct Option: D
Explanation:

Prime numbers between 6 and 21 are 7, 11, 13, 17 and 19.

Which of the following options is same as 786?

  1. 27 × 31

  2. 28 × 31

  3. 22 × 53

  4. 23 × 31 × 54


Correct Option: B
Explanation:

Prime factors of 786 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 or 28 × 3

How can 196 be represented as the product of prime numbers?

  1. 2 × 73

  2. 24 × 7

  3. 23 × 72

  4. 22 × 72


Correct Option: D
Explanation:

Prime factors of 196 = 2 × 2 × 7 × 7 or 22 × 72

Which of the following options is same as 88?

  1. 111 × 22

  2. 112 × 32

  3. 111 × 23

  4. 112 × 22


Correct Option: C
Explanation:

Prime factors of 88 = 2 × 2 × 2 × 11 or 23 × 11

How can 144 be represented as the product of prime numbers?

  1. 23 × 32

  2. 22 × 51

  3. 24 × 32

  4. 23 × 32 × 52


Correct Option: C
Explanation:

Prime factors of 144 = 2 × 2 × 2 × 2 × 3 x 3 = 24 × 32

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