Which of the following are composite numbers? Select ALL that apply.


91

51

41

87

121

53

Let's determine which of the numbers provided are composite. A **composite number** is a positive integer that has at least one positive divisor other than 1 and itself. In other words, it has more than two distinct divisors.

### Checking Each Number:

1. **91**:
   - Divisors: 1, 7, 13, 91
   - **Composite** (since 91 = 7 × 13)

2. **51**:
   - Divisors: 1, 3, 17, 51
   - **Composite** (since 51 = 3 × 17)

3. **41**:
   - Divisors: 1, 41
   - **Not composite** (41 is prime)

4. **87**:
   - Divisors: 1, 3, 29, 87
   - **Composite** (since 87 = 3 × 29)

5. **121**:
   - Divisors: 1, 11, 121
   - **Composite** (since 121 = 11 × 11)

6. **53**:
   - Divisors: 1, 53
   - **Not composite** (53 is prime)

### Conclusion:
The composite numbers from the list are **91, 51, 87, and 121**.

Would you like more details or have any questions?

Here are some related questions:
1. What makes a number prime versus composite?
2. How can you quickly determine if a number is composite?
3. Are there any tricks to factorizing large numbers?
4. What is the smallest composite number?
5. Can a composite number be a perfect square?

**Tip:** To check if a number is composite, try dividing it by smaller prime numbers (2, 3, 5, 7, etc.) and see if it divides evenly.

Learn to identify composite numbers among 91, 51, 87, and 121. Understand the concept of composite numbers versus prime numbers with detailed explanations and examples. Suitable for students in Grades 5-7.

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