Question

Which one of these statements about prime and composite numbers is true

F) All prime numbers are odd.

G) All prime numbers have three factors.

H) All composite numbers are divisible by two.

J) All composite numbers have more than two factors​

Answer 1

J) All composite numbers have more than two factors is true because composite numbers are numbers that have more than two factors. In other words, composite numbers can be divided by more than just 1 and itself. For example, 4 is a composite number because it can be divided by 1, 2, and 4. On the other hand, prime numbers are numbers that have exactly two factors, 1 and itself. For example, 7 is a prime number because it can only be divided by 1 and 7.

Answer 2

Explanation:

2 is a prime number and is even, therefore F is false

Prime numbers are numbers that only have two factors (1 and itself). Therefore G is false

9 is a composite number having 1, 3, 9 as its factors. 9 is not divisible by 2 and hence H is false.

Prime numbers are numbers with only two factors. Composite numbers are numbers that are not prime. Therefore, all composite numbers have more than two factors. Therefore, J is true

Answer: J