What is the largest two-digit prime number?

The largest two-digit prime number is 97. A prime number is defined as a whole number greater than 1 that has no positive divisors other than 1 and itself.

To determine that 97 is prime, we can check for divisibility by all prime numbers up to the approximate square root of 97, which is around 9.8. The relevant prime numbers to check are 2, 3, 5, and 7:

• 97 is odd, so it is not divisible by 2.

• To check for divisibility by 3, we sum the digits (9 + 7 = 16) and find that 16 is not divisible by 3.

• 97 does not end in 0 or 5, so it is not divisible by 5.

• Dividing 97 by 7 gives approximately 13.857, which is not a whole number, indicating that 97 is not divisible by 7.

Since 97 is not divisible by any of these primes, it confirms that 97 is indeed a prime number. Furthermore, it is essential to note that it is the largest two-digit number, making it the highest two-digit prime as well. Other options listed