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## What is a Composite Number

A natural number which is divisible by at least one other number other than itself and 1 is called a composite number.

**Ex :-** 4, 6, 8, 9, 10, 12, ………infinite.

## Composite Numbers from 1 to 100

22 | 42 | 62 | 82 | |

4 | 24 | 44 | 64 | 84 |

6 | 26 | 46 | 66 | 86 |

8 | 28 | 48 | 68 | 88 |

10 | 30 | 50 | 70 | 90 |

12 | 32 | 52 | 72 | 92 |

14 | 34 | 54 | 74 | 94 |

16 | 36 | 56 | 76 | 96 |

18 | 38 | 58 | 78 | 98 |

20 | 40 | 60 | 80 | 100 |

## How to Find Composite Numbers

All positive integers whose factors are two or more than two are called composite numbers.

That is, if understood in simple language – positive numbers having three or more than three factors are called composite numbers.

**As :-**

20 ÷ 1 = 20

20 ÷ 2 = 10

20 ÷ 4 = 5

20 ÷ 5 = 4

20 ÷ 20 = 1

The factors of 20 are 20, 10, 5, 4 and 1. These factors are more than three. That is, these are Composite Numbers.

### Composite Numbers from 101 to 200

102 | 110 | 116 | 121 | 126 | 133 | 140 | 145 | 152 | 158 | 165 | 174 | 180 | 187 | 194 |

104 | 111 | 117 | 122 | 128 | 134 | 141 | 146 | 154 | 159 | 166 | 175 | 182 | 188 | 195 |

105 | 112 | 118 | 123 | 129 | 135 | 142 | 147 | 155 | 160 | 168 | 176 | 184 | 189 | 196 |

106 | 114 | 119 | 124 | 130 | 136 | 143 | 148 | 156 | 162 | 170 | 177 | 185 | 190 | 198 |

108 | 115 | 120 | 125 | 132 | 138 | 144 | 150 | 157 | 164 | 172 | 178 | 186 | 192 |

## Problems Based on Composite Numbers

Question 1. How many composite numbers are there between 1 to 10?

A. 2

B. 4

C. 6

D. 8

The composite numbers from 1 to 10 are :- 4, 6, 8, 10.

Hence there are 4 composite numbers between 1 and 10.

Question 2. What is the smallest even composite number?

A. 2

B. 4

C. 6

D. 8

Answer:- The smallest even composite number is 4.

Question 3. What is the sum of first 10 composite numbers?

A.125

B.120

C.135

D.130

Solution:- According to the question,

First 10 composite numbers – 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Sum of first 10 composite numbers = 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22

Answer:- 130

Question 4. What will be the average of 35 consecutive even numbers?

A. 30

B. 31

C. 32

D. 36

Solution:- According to the question,

n = 30

Average of n consecutive even numbers = 35 + 1

mean = 36

Answer:- 31

Question5. What will be the average of 50 consecutive even numbers?

A. 21

B. 31

C. 41

D. 51

Solution:- According to the question,

n = 50

Average of n consecutive even numbers = 50 + 1

average = 51

Answer:- 51

Question 6. What will be the difference between the first 7 composite numbers and the first 4 prime numbers?

A. 41

B. 54

C. 61

D. 71

Solution:- According to the question,

First 7 composite numbers – 4, 6, 8, 10, 12, 14, 16

First 3 prime numbers – 1, 3, 5, 7

Difference between composite numbers and prime numbers = (4 + 6 + 8 + 10 + 12 + 14 + 16) – (1 + 3 + 5 + 7)

= 70 – 16

Answer:- 54

Question 7. What will be the average of 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20?

A. 11

B. 13

C. 15

D. 17

Solution: According to question,

n = 20

Average of consecutive even numbers up to n = (n+2)/2

Average = (20+2)/2

= 22/2

Answer:- 11

Question 8. What will be the difference between the first 10 composite numbers and the first 5 prime numbers?

A. 41

B. 51

C. 96

D. 105

Solution:- According to the question,

First 10 composite numbers – 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

First 5 prime numbers – 1, 3, 5, 7, 9

The difference between composite numbers and prime numbers = (4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22) – (1 + 3 + 5 + 7 + 9)

= 130 – 25

Answer:- 105

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