Composite Numbers

Composite Numbers

Composite numbers are positive integers greater than 1 that have more than two distinct positive divisors or factors. In other words, a composite number can be evenly divided by positive integers other than 1 and itself. The number 1 is not considered a composite number because it only has one positive divisor (1 itself).

Key points about composite numbers include:

Definition

A composite number is any positive integer greater than 1 that is not a prime number.

Examples

4 is a composite number because it can be divided evenly by 1, 2, and 4.

6 is a composite number because it has divisors 1, 2, 3, and 6.

15 is a composite number with divisors 1, 3, 5, and 15.

How to Find Composite Numbers?

Here are steps you can follow to find composite numbers:

Choose a Range

Decide on the range of numbers you want to examine for compositeness. For example, you might choose a range like 1 to 100.

Examine Individual Numbers

For each number in the chosen range (starting from 4, as 2 and 3 are prime), check whether it has divisors other than 1 and itself.

Check Divisibility

Test divisibility by checking if the number can be evenly divided by integers other than 1 and itself. Use the numbers 2 and above as potential divisors.

Look for Factors

If you find at least one divisor other than 1 and the number itself, then the number is composite. Note down the factors you find.

Continue the Process

Continue examining numbers in the chosen range until you have identified all the composite numbers within that range.

Here’s an example to illustrate the process:

Let’s find the composite numbers in the range 1 to 20:

• Number 4: Divisible by 2 (2 * 2), so it’s composite.

• Number 6: Divisible by 2 (2 * 3), so it’s composite.

• Number 8: Divisible by 2 (2 * 2 * 2), so it’s composite.

• Number 9: Divisible by 3 (3 * 3), so it’s composite.

• Number 10: Divisible by 2 (2 * 5), so it’s composite.

• Number 12: Divisible by 2 and 3 (2 * 2 * 3), so it’s composite.

• Number 14: Divisible by 2 (2 * 7), so it’s composite.

• Number 15: Divisible by 3 and 5 (3 * 5), so it’s composite.

• Number 16: Divisible by 2 (2 * 2 * 2 * 2), so it’s composite.

• Number 18: Divisible by 2 and 3 (2 * 3 * 3), so it’s composite.

• Number 20: Divisible by 2 (2 * 2 * 5), so it’s composite. 

So, in the range 1 to 20, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, and 20.

Composite Numbers FAQS

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