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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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