Final answer:
The statement that multiples of 10 are always composite is true because they have more factors than just 1 and themselves, for example, 20 and 30 have multiple factors including 10, 2, and 5.
Step-by-step explanation:
The statement that multiples of 10 are always going to be a composite number is true. A composite number is defined as a positive integer that has at least one positive divisor other than one and itself. In other words, a composite number is any positive integer greater than 1 that is not a prime number.
Since multiples of 10 are created by multiplying 10 by any positive integer, they will always have 10, 2, 5, and the positive integer as factors, making them composite. For example, 20 is a multiple of 10 and it has factors of 1, 2, 4, 5, 10, and 20. Another example is 30 which has factors of 1, 2, 3, 5, 6, 10, 15, and 30.
Therefore, by definition, multiples of 10 cannot be prime and are always composite.