Can you explain "composite number" with examples?

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Detailed Solution

Definition of a Composite Number

A composite number is a natural number (a whole, positive number) that is greater than 1 and has more than two factors. A "factor" is a number that divides it evenly (with no remainder).

In simpler terms: a composite number is any whole number greater than 1 that is not a prime number. It can be formed by multiplying two smaller natural numbers (that are not 1).

Key Characteristics of Composite Number

Must be a natural number greater than 1.
Must have at least one divisor other than 1 and itself.
Can be "composed" or "built" by multiplying smaller numbers.

Examples of Composite Numbers Explained

4: The factors of 4 are 1, 2, and 4. Since it has three factors (which is more than two), it is composite. (It can be built by 2 x 2).
10: The factors of 10 are 1, 2, 5, and 10. It has four factors, so it is composite. (It can be built by 2 x 5).
15: The factors of 15 are 1, 3, 5, and 15. It has four factors, so it is composite. (It can be built by 3 x 5).
27: The factors of 27 are 1, 3, 9, and 27. It has four factors, so it is composite. (It can be built by 3 x 9).

A Non-Example (for contrast)