**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).

**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) 2^{2} x 3^{4} x 7

b) 2^{3} x 3^{4} x 7

c) 2^{2} x 3^{2} x 7

d) 2^{2} x 3^{3} x 7^{3}

**Answer:** c) 2^{2} x 3^{2} 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) 2^{2} x 3^{4} x 5

b) 2^{3} x 3^{3} x 5

c) 2^{3} x 3^{2} x 5

d) 2^{2} x 3^{3} x 5^{3}

**Answer:** c) 2^{3} x 3^{2} 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

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