Question

which statement best describes the number 1? the number 1 is a prime number, because it is a low number. the number 1 is a composite number, because every number has 1 as a factor. the number 1 is neither prime nor composite, because 1 only has one factor. true or false: all prime numbers are odd. true false true or false: all even numbers greater than 2 are composite. true false

Explanation:

1. By definition, a prime number has exactly two distinct positive - divisors: 1 and itself. A composite number has more than two positive divisors. The number 1 only has one positive divisor (1), so it is neither prime nor composite.
2. The number 2 is a prime number and it is even, so not all prime numbers are odd.
3. An even number greater than 2 can be written as 2k where k > 1. So it has at least three factors (1, 2, and k), making it composite.

Answer:

1. The number 1 is neither prime nor composite, because 1 only has one factor.
2. False
3. True