Which of the following are statements and which are not ? Give reasons for your answers.
The number 6 has three prime factors.

Answer

To determine whether the sentence "The number 6 has three prime factors" is a statement, we can follow these steps:

### Step 1: Understand what a statement is
A statement is a declarative sentence that can be classified as either true or false.

**Hint:** A statement must be logically assessable.

### Step 2: Analyze the given sentence
The sentence provided is "The number 6 has three prime factors."

**Hint:** Identify the components of the sentence to evaluate its truth value.

### Step 3: Identify the prime factors of 6
The prime factors of 6 are 2 and 3. Therefore, the prime factorization of 6 is:
\[ 6 = 2 \times 3 \]

**Hint:** Recall that prime factors are the prime numbers that multiply together to give the original number.

### Step 4: Count the prime factors
From the factorization, we see that 6 has only two prime factors: 2 and 3.

**Hint:** Compare the number of prime factors with the statement.

### Step 5: Determine the truth value of the statement
Since the statement claims that 6 has three prime factors, and we have established that it only has two, the statement is false.

**Hint:** A statement can be true or false; verify the claim made in the statement.

### Step 6: Conclusion
Since we can classify the sentence as either true or false, we conclude that it is indeed a statement.

**Final Answer:** The sentence "The number 6 has three prime factors" is a statement because it can be evaluated as false.

### Summary
- The sentence is a statement because it can be classified as true or false.
- The reason it is a statement is that it is logical and assessable.