In number theory, we encounter two types of numbers: prime and composite. Prime numbers are special because they can only be divided by 1 and themselves. Composite numbers, on the other hand, are the opposite. They have more than two factors (including 1 and itself). All natural numbers that aren’t prime fall into this category, meaning they can be divided by several numbers. Take 6 for instance, it’s divisible by 1, 2, 3, and 6, making it a composite number. This article delves deeper into the world of composite numbers, exploring their definition, properties, and even providing a list of examples to solidify understanding. In this article we will give you a complete understanding of composite numbers from 1 to 100
Composite Number Definition
Composite numbers can be defined as any positive integers or natural numbers that have more than two factors. These factors usually include 1 and itself, along with at least one other value. In other words, composite numbers are the opposite of prime numbers, numbers that only have two factors.
Examples of Composite Numbers
The list of composite numbers begins with the natural number 4. The first 10 composite numbers are {4, 6, 8, 9, 10, 12, 14, 15, 16, 18}. What makes these numbers composite?
That’s right, they all have more than two factors!
Factors are two numbers you multiply to get an answer.
For example: What are the factors of 6?
1 x 6 = 6
2 x 3 = 6.
So 1, 2, 3 & 6 are all factors of 6.
List of Composite Numbers 1 to 100
| Composite Numbers Between 1 to 100 | |||||||
| 4 | 6 | 8 | 9 | 10 | 12 | 14 | 15 |
| 16 | 18 | 20 | 21 | 22 | 24 | 25 | 26 |
| 27 | 28 | 30 | 32 | 33 | 34 | 35 | 36 |
| 38 | 39 | 40 | 42 | 44 | 45 | 46 | 48 |
| 49 | 50 | 51 | 52 | 54 | 55 | 56 | 57 |
| 60 | 62 | 63 | 64 | 65 | 66 | 68 | 69 |
| 70 | 72 | 74 | 75 | 76 | 77 | 78 | 80 |
| 81 | 82 | 84 | 85 | 86 | 87 | 88 | 90 |
| 91 | 92 | 93 | 94 | 95 | 96 | 98 | 99 |
| 100 | – | – | – | – | – | – | – |
How do you explain composite numbers to children?
Begin by taking it a step at a time. Usually, children will be introduced to composite numbers at around 7 or 8 years of age during their maths lessons. At this stage, they will just be getting to grips with a simple composite number definition. You could begin by using visual aids like this table shown above, or provide children with a basic multiplication table like this 100 Number Square, and ask children to highlight all the numbers they think are composite. Try and explain that every number higher than one is either a composite number or a prime number.
Odd and Even Composite Numbers
Odd composite numbers are those that are both odd and composite.
There are many odd composite numbers between 1 and 100. Some of these are: 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 63, 65, 69, 75, 77, 81, 85, 87, 93, 99.
Even composite numbers are those that are both even and composite.
There are several even composite numbers between 1 and 100. Some of these numbers include: 4, 6, 8,, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, and 100.
What is the difference between Prime and Composite Numbers?
- The difference between prime numbers and composite numbers is the number of factors they have.
- Prime numbers only have two factors, while the composite number definition states composite numbers have more than two factors.
- A number can not be a prime number and a composite number.
Properties of Composite Numbers
- All composite numbers are divisible by 1 and itself
- All composite numbers are evenly divisible by its factors
- All composite numbers have more than two factors
- All composite numbers are divisible by prime numbers
Important Points on Composite Numbers From 1 to 100
- Composite numbers are those with more than two components. These figures are also known as composites.
- In mathematics, there are primarily two different kinds of composite numbers: Even or odd composite numbers
- Only numbers with more than two factors are considered composite numbers.
- Additionally, the set of factors is thought to evenly divide composite numbers.
- All odd integers that are not prime are considered odd composite numbers.
- Even composite numbers are not prime but consist of only even numbers.
Conclusion
Unless working in cyber security (where prime numbers are important) or as a teacher, you are unlikely to come across the term ‘composite numbers’. However, the application of composite numbers, i.e. any whole number that is not prime is used throughout mathematics. In this article we have tried to give a complete understanding of composite numbers, hope the article will be useful for you. Thank you
