from 6th-8th Grade Math: Practice & Review

Chapter 4 / Lesson 3# What numbers are neither prime nor composite?

### Question:

What numbers are neither prime nor composite?### Answer and Explanation:

A *prime* number is a positive integer that has only 1 and the number itself as its factors. In other words, a prime number is a positive integer that is only divisible by 1 and itself. For example, 29 is a prime number: it has only 1 and 29 as its factors, which means that 29 is only divisible by 1 and 29.

All other positive integers are called *composite* numbers. By definition, a composite number is a positive integer that has factors other than 1 and itself. In other words, a composite number is a positive integer that is divisible by 1, itself and other numbers. For example, 28 is a composite number: 28 has 1, 2, 4, 7, 14, and 28 as its factors, which also means that 28 is divisible by 1, 2, 4, 7, 14, and 28.

Given these definitions, **only the number 1** is neither prime nor composite.

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