21. Higher Order Thinking Larry says all numbers that have a 2 in the ones place are composite numbers. Explain if Larry i correct or incorrect.

Question

UpStudy AI · Accepted Answer

Larry's statement is **incorrect**. While it's true that many numbers ending with a **2** in the ones place are composite, the number **2** itself is an exception. Here's a breakdown to clarify:

1. **Understanding Composite Numbers**:
   - A **composite number** is a positive integer that has at least one positive divisor other than **1** and itself.
   - In other words, composite numbers can be divided evenly by numbers other than **1** and themselves.

2. **Analyzing Numbers Ending with 2**:
   - Common examples include **2**, **12**, **22**, **32**, **42**, **52**, **62**, **72**, **82**, **92**, etc.
   
3. **Examining Specific Cases**:
   - **2**:
     - **2** is the smallest and only even **prime** number.
     - It can only be divided evenly by **1** and **2**.
     - Since it doesn't have any other divisors, **2** is **not** a composite number.
   - **12, 22, 32, ... 92**:
     - These numbers are all even and greater than **2**.
     - They can be divided evenly by **2** and other numbers, making them **composite**.

4. **Conclusion**:
   - While most numbers ending with a **2** are indeed composite, **2** itself is **prime**.
   - Therefore, Larry's blanket statement that *"all numbers that have a 2 in the ones place are composite numbers"* is **incorrect** because it doesn't account for the prime number **2**.

**Summary**: Larry is incorrect because the number **2**, which ends with a **2**, is a prime number, not a composite number.
Larry is incorrect because the number **2**, which ends with a **2**, is a prime number, not a composite number.

Higher Order Thinking Larry says all
numbers that have a 2 in the ones place
are composite numbers. Explain if Larry i
correct or incorrect.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Arithmetic Questions