Which statement is true of the following for 13, 23 and 29?

Options

A. All are prime numbers
B. All are composite numbers
C. All are even numbers
D. All are divisible by

Answer

To determine which statement is true for the numbers 13, 23, and 29, we need to analyze whether these numbers are prime or composite.

### Step 1: Define Prime Numbers
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. This means it can only be divided evenly (without leaving a remainder) by 1 and the number itself.

### Step 2: Check if 13 is Prime
- The factors of 13 are 1 and 13.
- Since 13 has only two factors (1 and 13), it is a prime number.

### Step 3: Check if 23 is Prime
- The factors of 23 are 1 and 23.
- Since 23 has only two factors (1 and 23), it is also a prime number.

### Step 4: Check if 29 is Prime
- The factors of 29 are 1 and 29.
- Since 29 has only two factors (1 and 29), it is also a prime number.

### Conclusion
Since all three numbers (13, 23, and 29) have only two factors, we can conclude that all of them are prime numbers. Therefore, the statement "all given numbers are prime numbers" is true.

### Final Answer
The true statement is: All given numbers (13, 23, and 29) are prime numbers.

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