The discussion revolves around the nature of prime numbers, specifically questioning whether 2 is the only even prime number. Participants explore definitions of prime numbers and the characteristics that distinguish them from odd numbers.
Participants do not reach a consensus, as there are differing views on the relationship between prime numbers and odd numbers, and the definition of prime numbers is questioned.
Some definitions and assumptions about prime numbers are not fully explored, leading to potential misunderstandings regarding the classification of numbers.
RTCNTC said:I know that 2 is an even number. I equate prime numbers with odd numbers. Why is 2 a prime number when it is listed in a group of odd numbers? Is 2 the only, even prime number? Why?
Well, there's your problem! You cannot "equate prime number with odd numbers". For one thing, the odd number, 9, is NOT prime!RTCNTC said:I know that 2 is an even number. I equate prime numbers with odd numbers.
Do you know what prime numbers are? What is your definition of "prime number"?Why is 2 a prime number when it is listed in a group of odd numbers? Is 2 the only, even prime number? Why?
MarkFL said:A prime number is a natural number greater than 1 that only has 1 and itself as factors. Since 2 is greater than 1 and only has 1 and 2 as factors, it is therefore a prime number. It is the only even prime number because all other even numbers also have 2 as a factor. :)