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# Worksheet on Composite Numbers from 1 to 100

## Worksheet of Composite Numbers from 1 to 100

### 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

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

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

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

2. What is the largest composite number between 400 and 500?

a) 441
b) 449
c) 495
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

5. Which of the following is a composite number?

a) 7
b) 13
c) 23
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

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

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

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