Yes, the prime number 3 is divisible by 3.
Understanding Prime Numbers and Divisibility
A prime number is a whole number greater than 1 that has only two divisors: 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, and so on. Divisibility means that one number can be divided by another number with no remainder.
The Case of the Prime Number 3
The number 3 is a prime number because its only divisors are 1 and 3. By definition, 3 is divisible by 3 (3 / 3 = 1, with no remainder). Therefore, 3 is a prime number that is also divisible by 3.
Why is 3 the only prime number divisible by 3 (other than 1)?
Any number divisible by 3 (other than 3 itself) will have 3 as a factor, in addition to 1 and itself. This means it will have more than two factors, disqualifying it from being prime. For example, 6 is divisible by 3, but 6 is also divisible by 1, 2, and 6. Therefore, 6 is not prime.
In conclusion, the number 3 is a prime number divisible by 3, and it is the only such prime number (greater than 1).
