Even odd prime and composite numbers

Even numbers

Even numbers are those number which  are divisible by two and may be divided into two equal groups or pairs. 2, 4, 6, 8, 10, and so on are some examples. Assume you have 16 candies. These candies can be separated into two equal groups, each having eight candies. As a result, 16 is an even number. However, because 19 candies cannot be grouped in this way, 19 is not an even number. 

What are even numbers?

The number which is a multiple of two is called an even number. A number that is totally divisible by two is considered an even number. 

Assume Sameer  has  eight balls. He can pair all  eight balls and establish four  pairs if he tries to group them. There aren’t any balls that haven’t been paired. As a result, he can deduce that eight  is an even number. Let’s split 8 by 2 now. We get 4 as the quotient, which is equal to the number of pairs produced. The remainder is equal to the number of balls that cannot be paired, which is 0. 

Properties of Even Numbers

Consider the following properties of numbers, such as addition, multiplication, and subtraction, and how an even number acts in these situations:

Property of Addition of Even Numbers

• An even number is equal to the sum of two even numbers. 
• An even number plus an odd number equals an odd number.
• When two odd integers are added together, the result is an even number. 

Property of Multiplication of Even Numbers

• When two even integers are multiplied, the result is an even number. 
• An even number multiplied by an odd number equals an even number. 

Property of Subtraction of Even Numbers

• An even number is the difference between two even numbers. 
• An odd number is the difference between an even and an odd number. 
• An even number is the difference between two odd numbers. 

Odd numbers

Odd numbers are those that cannot be grouped into pairs. Numbers that could not be placed in two rows were considered unusual by the ancient Greeks. Over the millennia, this concept has evolved. Take any multiple of 2 as an example. You’ll see that all of these numbers can be organised in twos. All integers, with the exception of multiples of 2, are odd numbers. 

 What are odd numbers?

Odd numbers are defined as those numbers that cannot be divided evenly into two pieces . Positive integers that cannot be divided into two groups are known as odd numbers . 

By using one examples we can understand this more clearly by Assuming Ravi has five toffee . He can not pair all five toffee and establish two pairs and one toffee is left  if he tries to group them. There are one toffee  that haven’t been paired. As a result, he can deduce that five   is an odd number. Let’s split  5 by 2 now. We get 2 as the quotient, which is equal to the number of pairs produced. The remainder is  equal to the number of toffee that cannot be paired, which is 1.

Properties of Odd Numbers

 A collection of properties that always apply to an odd number is given below. Each of these characteristics can be explored in depth as follows:

• Addition: When two odd numbers are added together, the result is always an even number, i.e., the sum of two odd numbers is always an even number. (odd) + (odd) =  (even).
• Subtraction: When two odd integers are subtracted, the result is always an even number.  (odd) –  (odd) =   (even).
• Multiplication: When two odd integers are multiplied, the result is always an odd number. For instance,(odd) ×(odd) = (odd).
• Division: When two odd integers are divided, the result is always an odd number. (odd) ÷(odd) = (odd)

Prime numbers

Prime numbers consist of only two as its factor i.e. 1 and the number itself.. Consider the number 3, which only contains two factors: 1 and 3. This indicates that the integer is prime. 1 is not a prime number, which must have exactly two factors but 1 has only one factor 1. Because 1 is neither a prime nor a composite number, so it is a unique number.

What are prime numbers?

A prime number is a number greater than one with exactly two factors: 1 and the number itself. A prime number, in other terms, is one that cannot be divided into two equal groups.

Properties of prime numbers 

The following are some of prime numbers’ most important characteristics:

•  A prime number is a whole number greater than or equal to one, with only two factors: one and the number itself.
•  Any two prime numbers that are co-prime will always be co-prime.
• Any integer can be expressed using the product of prime numbers.

Composite numbers

The composite numbers are those that have more than two factors. The number of factors contained in a number can be used to classify it.A prime number has only one and the number itself as its factor. Most numbers, on the other hand, are composite numbers since they contain more than two factors. On this page, we’ll look at how prime and composite numbers differ, as well as the smallest composite number and odd composite numbers. 

What are composite numbers?

A composite number is one that includes more than two elements and is more than one. Six, for example, can be factorized in a variety of ways. As a result, the factors of four are 1, 2, 3, and 6. There are more than two components involved. As a result, the number six is a composite number.

Properties of composite numbers

Here are the some of the qualities of a composite number that are listed below :

• All composite numbers are evenly divided by smaller prime or composite numbers.
• All the composite number contains  at least two prime numbers.

CONCLUSION:-

Even numbers are those number which  are divisible by two and may be divided into two equal groups or pairs. Odd numbers are defined as those numbers that cannot be divided evenly into two pieces . Positive integers that cannot be divided into two groups are known as odd numbers .A prime number is a number higher than 1 that has exactly two elements, namely 1 and the number itself. A composite number is one that includes more than two elements and is more than one.