Q. 3-digit largest prime number is:

Correct Answer: (D) 997

Explanation:

A prime number is a natural number greater than 1 that has no divisors other than 1 and itself. To determine the largest 3-digit prime number, we start with the largest 3-digit number, which is 999, and check downward until we find a prime number.

1. 999: Not a prime number because it is divisible by 3 (999 ÷ 3 = 333).

2. 998: Not a prime number because it is even (divisible by 2).

3. 997: Check divisibility by all prime numbers less than √997 (approximately 31.5). The prime numbers to check are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.

– 997 is not divisible by any of these primes, so it is a prime number.

Thus, the largest 3-digit prime number is 997.