A composite number is always divisible by 1, itself, and at least one other positive integer (factor).
Understanding Composite Numbers
A composite number is a positive integer that has more than two distinct positive divisors (factors). This means it can be divided evenly by 1, itself, and at least one other number. This differentiates it from prime numbers, which are only divisible by 1 and themselves.
Divisors of Composite Numbers
Here's a breakdown of what composite numbers are divisible by:
- 1: Every composite number is divisible by 1.
- Itself: Every composite number is divisible by itself.
- Factors (other than 1 and itself): By definition, a composite number must have at least one factor besides 1 and itself. This is the key characteristic of composite numbers. These factors can be prime or composite.
Examples
Let's look at some examples:
- 4: Divisible by 1, 2, and 4.
- 6: Divisible by 1, 2, 3, and 6.
- 8: Divisible by 1, 2, 4, and 8.
- 9: Divisible by 1, 3, and 9.
- 10: Divisible by 1, 2, 5, and 10.
Key Takeaway
The defining feature of a composite number is that it possesses divisors beyond just 1 and itself. These additional divisors are its factors.
