Step: 1

A composite number is a number which has at least one factor

other than 1 and itself.

So, it is not a prime number.

other than 1 and itself.

So, it is not a prime number.

Step: 2

In the given choices, 47, 19 and 29 are prime numbers.

Step: 3

48 has factors 1, 2, 3, 4, 6, 8,12, 16 and 48.

Step: 4

Thus, 48 has factors other than 1 and 48.

Step: 5

So, 48 is a composite number.

Correct Answer is : 48

Step: 1

A composite number has more than two factors.

Step: 2

The numbers BETWEEN 15 and 25 with more than two factors are 16, 18, 20, 21, 22 and 24.

Step: 3

So, 16, 18, 20, 21, 22, 24 represent the set of numbers with all the composite numbers between 15 and 25.

Correct Answer is : 16, 18, 20, 21, 22, 24

Step: 1

A composite number is a number which has more than two factors.

Step: 2

Factors of 31 are 1 and 31.

Step: 3

Factors of 41 are 1 and 41.

Step: 4

Factors of 37 are 1 and 37.

Step: 5

Factors of 51 are 1, 3, 17, and 51.

Step: 6

Among the choices, the number that has more than two factors is 51.

Correct Answer is : 51

Step: 1

A composite number has more than two factors.

Step: 2

Factors of 59 : 1, and 59

Factors of 71 : 1 and 71

Factors of 113 : 1 and 113

Factors of 35 : 1, 5, 7, and 35

Factors of 71 : 1 and 71

Factors of 113 : 1 and 113

Factors of 35 : 1, 5, 7, and 35

Step: 3

The number 35 has more than two factors.

Step: 4

So, the number 35 is a composite number.

Correct Answer is : 35

Step: 1

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

Step: 2

Factors of 59 = 1, 59

Step: 3

Factors of 71 = 1, 71

Step: 4

Factors of 28 = 1, 2, 4, 7,14, 28.

Step: 5

Out of the given numbers, 28 is the only number that has more than two factors.

Step: 6

So, 28 is the composite number.

Correct Answer is : 28

Step: 1

A prime number is a whole number that is divisible only by itself and the number 1.

Step: 2

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

[List of odd numbers between 2 and 30.]

Step: 3

3, 5, 7, ~~9~~, 11, 13, ~~15~~, 17, 19, ~~21~~, 23, ~~25~~, ~~27~~, 29

[Apart from 3, 5 and 7, strike out the numbers divisible by 3, 5 and 7.]

Step: 4

Hence, all the prime numbers between 2 and 30 are 3, 5, 7, 11, 13, 17, 19, 23 and 29.

Correct Answer is : 3, 5, 7, 11, 13, 17, 19, 23 and 29

Step: 1

A prime number is a whole number that is divisible only by itself and the number 1.

Step: 2

The prime numbers that are less than 38 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 and 37.

Step: 3

The largest prime number that is less than 38 is 37.

Correct Answer is : 37

Step: 1

A prime number is a whole number that is divisible only by itself and the number 1.

Step: 2

11 ÷ 2 = 5 remainder 1, 11 ÷ 3 = 3 remainder 2

Step: 3

13 ÷ 2 = 6 remainder 1, 13 ÷ 3 = 4 remainder 1

Step: 4

17 ÷ 2 = 8 remainder 1, 17 ÷ 3 = 5 remainder 2

Step: 5

36 ÷ 2 = 18

Step: 6

The numbers 11, 13 and 17 are prime numbers.

Step: 7

So, 36 is not a prime number.

Correct Answer is : 36

Step: 1

A prime number is a whole number that is divisible only by itself and the number 1.

Step: 2

11, 13, 15, 17, 19

[List of odd numbers between 9 and 21.]

Step: 3

11, 13, ~~15~~, 17, 19

[Strike out the numbers divisible by 3, 5 and 7.]

Step: 4

Hence, all the prime numbers between 9 and 21 are 11, 13, 17 and 19.

Correct Answer is : 11, 13, 17 and 19

Step: 1

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

Step: 2

Factors of 59 = 1, 59

Step: 3

Factors of 71 = 1, 71

Step: 4

Factors of 113 = 1, 113

Step: 5

Factors of 20 = 1, 2, 4, 5, 10, 20

Step: 6

Out of the given numbers, 20 is the only number that has more than two factors.

Step: 7

So, 20 is the composite number.

Correct Answer is : 20

Step: 1

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

Step: 2

Factors of 53 = 1, 53

Step: 3

Factors of 73 = 1, 73

Step: 4

Factors of 83 = 1, 83

Step: 5

Factors of 93 = 1, 3, 31, 93

Step: 6

Out of the given numbers, 93 is the only number that has more than two factors.

Step: 7

So, 93 is the composite number.

Correct Answer is : 93

Step: 1

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

Step: 2

Factors of 5 = 1, 5

Step: 3

Factors of 37 = 1, 37

Step: 4

Factors of 43 = 1, 43

Step: 5

Factors of 15 = 1, 3, 5, 15

Step: 6

Out of the given numbers, 15 is the only number that has more than two factors.

Step: 7

So, 15 is the composite number.

Correct Answer is : 15

Step: 1

A number whose factors are 1 and the number itself, is called a prime number.

Step: 2

In the given choices, 51, 81, and 91 have factors other than 1 and itself.

Step: 3

Factors of 71 are 1 and 71.

Step: 4

So, 71 is a prime number.

Correct Answer is : 71

Step: 1

A number whose factors are 1 and the number itself, is called a prime number.

Step: 2

In the given choices, 39, 69, and 99 have factors other than 1 and itself.

Step: 3

Factors of 29 are 1 and 29.

Step: 4

So, 29 is a prime number.

Correct Answer is : 29

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- Composite Number
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