Solved Questions on Composite Numbers
1. What is a composite number?
a) A number that is divisible by 2
b) A number that is divisible by only 1 and itself
c) A number that is divisible by more than 2 positive integers
d) A number that is not divisible by any positive integer
Answer: c) A number that is divisible by more than 2 positive integers
Explanation: A composite number is a positive integer that is divisible by more than two positive integers. This means that it has factors other than 1 and itself.
2. Which of the following numbers is composite?
a) 2
b) 3
c) 5
d) 8
Answer: d) 8
Explanation: The number 8 is composite because it has factors other than 1 and itself. Its factors are 1, 2, 4, and 8.
3. If a number is composite, which of the following statement must be true?
a) It is an even number
b) It is an odd number
c) It is a prime number
d) It has factors other than 1 and itself
Answer: d) It has factors other than 1 and itself
Explanation: If a number is composite, it must have factors other than 1 and itself. This is the definition of a composite number.
4. Which of the following is not a composite number?
a) 37
b) 38
c) 39
d) 40
Answer: a) 37
Explanation: 37 is not a composite number because it has only two factors, 1 and 37.
5. Which of the following numbers is composite?
a) 29
b) 30
c) 31
d) 37
Answer: b) 30
Explanation: 30 is a composite number because it can be written as a product of two smaller whole numbers (2 x 15 or 3 x 10 or 5 x 6).
Practice Questions on Composite Numbers
1. What is the smallest composite number greater than 100?
a) 101
b) 103
c) 102
d) 105
Answer: c) 102
2. What is the largest composite number between 400 and 500?
a) 441
b) 449
c) 495
d) 498
Answer: d) 498
3. What is the prime factorization of the composite number 252?
a) 22 x 34 x 7
b) 23 x 34 x 7
c) 22 x 32 x 7
d) 22 x 33 x 73
Answer: c) 22 x 32 x 7
4. What is the sum of all the factors of the composite number 84?
a) 224
b) 226
c) 229
d) 230
Answer: a) 224
5. Which of the following is a composite number?
a) 7
b) 13
c) 23
d) 33
Answer: d) 33
6. What is the smallest composite number that is divisible by both 4 and 9?
a) 12
b) 18
c) 24
d) 36
Answer: b) 18
7. What is the prime factorization of the composite number 360?
a) 22 x 34 x 5
b) 23 x 33 x 5
c) 23 x 32 x 5
d) 22 x 33 x 53
Answer: c) 23 x 32 x 5
8. Which of the following is not a composite number?
a) 15
b) 21
c) 27
d) 31
Answer: d) 31
9. What is the product of the distinct prime factors of the composite number 462?
a) 2 x 3 x 7 x 7
b) 2 x 3 x 7 x 11
c) 3 x 7 x 11 x 13
d) 2 x 7 x 11 x 17
Answer: b) 2 x 3 x 7 x 11
10. What is the largest composite number that is less than 50?
a) 43
b) 47
c) 48
d) 49
Answer: d) 49
