Education

Learn all the composite numbers from 1 to 100

To learn composite numbers, first, you must understand the concept of a composite number. So, what is a composite number? A composite number is always a positive integer as it is the. A composite number is not considered a prime number (a number whose only two factors are one and that number). Composite numbers have more than 2 factors. All the composite numbers are natural numbers.

Let’s learn composite numbers with a few composite numbers examples.

Composite numbers Examples

Some examples of composite numbers are 10, 12, 14, 15, 16,4, 6, 8, 9, etc. 

Let us take 8 and 10. In the given example, 8 and 10 are called composite numbers since they are created by combining two other smaller numbers. This idea is essential and is used in a well-known theorem, i.e., the Fundamental Theorem of Arithmetic. How about we all now learn the properties of these numbers? 

Properties of Composite Number:

It is safe to state that a composite number is a positive integer that produces two smaller positive integers. There are two properties that all composite numbers have. Every composite number are divisible by smaller numbers that can be prime numbers or composite numbers. A composite number is made up of two or more prime numbers. To understand this better, let us take the number 78 as an example.

78= 2*2*2*3*3                

     =2 raised to the power of 3*3 raised to the power of 2.

How do you find out if the number given is a Composite number or not?

  • To state that the given number is composite, we find the factors of it. The given number must have more than two factors to be termed as a composite number. 
  • The easiest technique to figure out if the number is composite is by using the divisibility test. Divisibility means that a number is divided evenly by another number with zero as its remainder. We can say that the divisibility test determines if the number is composite or prime.
  • To use this technique, you must check if the given number is divisible by these common factors, 5, 13, 2, 3, 11, and 7. 
  • The number ending with an even number at one place will be divisible by 2. Maybe the given number ends with 5 or 0. Then it is divisible by 5. 
  • On the condition of the given number being divisible by the above-listed numbers, we can say that the given number is composite. For example, 8 is divisible by 2; as a result, it is stated that 8 has more than two factors; this makes it a composite number.

Let us assume you have been given a number, and the task you have to do is find out if it is a composite number. To figure out if a number is a composite number or not, you will have to list out its factors. If the number has more than one factor then, the given number is composite. For example, the number given is 6 and 5, 6 has three factors, they are 1, 2 and 4. Therefore the given number 4 is composite. On the other hand, the number 5 has only two factors that are 1 and 5. Hence it is not a composite number.

Types of Composite Numbers

In math, the composite numbers are divided into odd composite numbers and even composite numbers. Why not learn about it individually?

Odd Composite Numbers

Well, its definition is pretty simple. All the odd natural numbers which have more than two factors are known as odd composite numbers. For example, 15, 21, 25,9,27 are odd composite numbers. For example, let us consider these numbers, 10, 11, 12, 15, 1, 2, 3, 4, and 9. In this 9 and 15 are the odd composite numbers. The reason behind this is that these satisfy the criteria of composite numbers and are odd. The reason behind this is that these satisfy the criteria of composite numbers and are odd.          

Even Composite Numbers

Just like odd composite numbers, even composite numbers have a similar simple definition. That is, the even numbers which have more factors are even composite numbers. Like, 10, 12, 14, 4, 6, 8, 16 are even composite numbers. For example, the numbers given are 1, 2, 3, 4, 5, 9, 10, 11, 12, and 15. In this 12, 10 and 4 are the even composite numbers. This is because the numbers have an even number in one place and satisfy the composite condition.

Smallest Composite Number

  • By this time, we have understood that composite numbers have more than 2 factors. 
  • Let’s list the natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 etc. One is not a composite numerical. You may then think that it must be a prime number. Well, if you thought so, then you were wrong. One is neither a prime nor composite. The reason behind this statement is that the sole divisor of 1 is one itself. 2, is also not composite. It is a prime number. 
  • Like the first two natural numbers, 3is also not composite as it has only two sole divisors, that is, one and the number three itself. Now four, on the other hand, is not a prime number.

As we have now learned that a composite number must have more than two factors. 4 has three divisors, 2, 1, and the number 4 itself. We can state that 4 satisfies all the criteria a composite number has. It is a positive integer, a natural number, and it has more than two factors. This makes 4 the smallest composite number.

List of the Composite Numbers from 1 to 100

The following listed numbers are the composite numbers from 1 to 100. The list starts from 4 and goes on. Here they are:

99, 100,90, 91, 92, 93, 94, 95, 96, 98,63, 64, 65, 66, 68, 69, 80, 81, 82, 84, 85, 85, 86, 87, 88, 54, 55, 56, 57, 58, 60, 62, 70, 72, 74 75, 76, 77, 78, 42, 44, 45, 46, 48, 49, 50, 51, 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, and 52.

Conclusion

The best way to learn and remember composite numbers is every time you eat a pizza! Sounds funny but dividing a pizza equally has a lot about composite numbers, and it is one of the best real-life applications. So whenever you do an equal division, remember composite numbers.

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