Is the number 14 a prime number? Explain why or why not.

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UpStudy AI · Accepted Answer

No, the number **14** is **not** a prime number. Here's why:

### Understanding Prime Numbers
A **prime number** is a whole number greater than **1** that has **only two distinct positive divisors**:
1. **1**
2. **Itself**

In other words, a prime number cannot be formed by multiplying two smaller natural numbers.

### Analyzing the Number 14
Let's examine the number **14** to determine if it meets the criteria for being prime:

1. **Divisors of 14:**
   - **1** (since 1 × 14 = 14)
   - **2** (since 2 × 7 = 14)
   - **7** (since 7 × 2 = 14)
   - **14** (since 14 × 1 = 14)

2. **Count of Divisors:**
   - 14 has **four** divisors: 1, 2, 7, and 14.

### Conclusion
Since **14** has more than two divisors (1 and itself), it does **not** satisfy the definition of a prime number. Therefore, **14 is a composite number**, which means it can be divided evenly by numbers other than 1 and itself.

### Quick Recap
- **Prime Number:** Exactly two distinct positive divisors (1 and itself)
- **Composite Number:** More than two distinct positive divisors

**14** falls into the **composite** category because:

- It can be divided by **1**, **2**, **7**, and **14** without leaving a remainder.
14 is not a prime number because it has divisors other than 1 and itself (specifically, 2 and 7).

Is the number 14 a prime number? Explain why or why not.

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