# How to Find Composite Numbers?

Composite numbers are numbers that have more than two factors. In this post blog, you learn how to find composite numbers.

In Mathematics, composite numbers are numbers that have more than two factors. Composite numbers are exactly the opposite of prime numbers, which have only two factors, i.e. \(1\) and the number itself.

**A step-by-step guide to** **composite numbers**

**Composite numbers** can be defined as natural numbers that have more than two factors. In other words, a number that is divisible by a number other than \(1\) and the number itself is called a composite number.

**Properties of composite numbers**

A composite number is a positive integer that is obtained by multiplying two smaller positive integers. Characteristics of a composite number are listed below:

- All composite numbers are evenly divisible by smaller numbers that can be prime or composite.
- Every composite number is made up of two or more prime numbers.

Let’s take a look at the properties of the composite number \(72\) to better understand the concept.

**How to find composite numbers?**

To find a composite number, we find the factors of the given number. The best way to determine a composite number is to do a divisibility test. The divisibility test helps us determine if the number is prime or composite. Divisibility means that one number is divided completely (without remainder) by another number.

To do this, check to see if the number can be divided by these common factors: \(2, 3, 5, 7, 11\), and \(13\). If the given number is even, then start checking with the number \(2\). If the number ends in \(0\) or \(5\), check it with \(5\). If the number cannot be divided by any of these given numbers, then the number is a prime number. For example, \(42\) is divisible by \(2\), which means it has factors other than \(1\) and \(42\), so, we can say \(42\) is a composite number.

**Types of composite numbers**

The two main types of composite numbers in mathematics are odd composite numbers and even composite numbers.

**Even composite numbers**

All the even numbers that are not prime are even composite. For example, \(4, 6, 8, 10, 12, 14,\) and \(16\), are even composite numbers.

**Odd composite numbers**

All the odd numbers which are not prime are odd composite numbers. For example, \(9, 15, 21, 25\), and \(27\) are odd composite numbers.

**Composite Numbers – Example 1:**

Is \(486\) a composite number or not?

**Solution:**

Its factors are \(1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243,\) and \(486\). This shows that it has factors other than \(1\) and itself. Therefore, \(486\) is a composite number.

**Exercises for** **Composite Numbers**

**which of the number is a composite number?**

- \(\color{blue}{73}\)
- \(\color{blue}{51}\)
- \(\color{blue}{42,059}\)
- \(\color{blue}{991}\)

- \(\color{blue}{Not}\)
- \(\color{blue}{Yes}\)
- \(\color{blue}{Yes}\)
- \(\color{blue}{Not}\)

## Related to This Article

### More math articles

- How to Find the Volume and Surface Area of a Triangular Prism?
- Overview of the ACCUPLACER Math Test
- Billionaire Basics: How to Master Addition and Subtraction of Massive Whole Numbers
- How to Use Grids to Multiply One-digit Numbers By Teen Numbers
- How to Classify Numbers?
- FREE 4th Grade Georgia Milestones Assessment System Math Practice Test
- The Ultimate 6th Grade OAA Math Course (+FREE Worksheets)
- How to Multiply and Divide Integers? (+FREE Worksheet!)
- Prepare for the SAT Math: The Right Combination of Hard Work and Time Management
- Top 10 Tips You MUST Know to Retake the TASC Math

## What people say about "How to Find Composite Numbers? - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.