Question

What are Composite Numbers?

Answer 1

Hint: In this question we will learn definitions and examples of Composite Numbers. To understand Composite Numbers properly we need to learn definitions of Natural Numbers, Whole Numbers, Integers, Positive Integers, Factors, and Multiples and understand examples related to them.

Complete step-by-step solution:
Natural Numbers: Natural Numbers are part of the Number System. Numbers $1,2,3,4...........$ are natural numbers. Natural Numbers are used for counting and ordering.
Numbers which are used for counting are called Cardinal Numbers and numbers which are used for ordering are called Ordinal Numbers.
Whole Numbers: Whole Numbers are also part of the Number System. Numbers Like $0,1,2,3,......$ are whole numbers.
All natural numbers are whole numbers but all whole numbers are not natural numbers.
Because $0$ is included in whole numbers and not in natural numbers.
 Integers: Positive Numbers, Negative Numbers and Zero all are integers.
Examples of Integers: $.........-4,-3,-2,-1,0,1,2,3,4.............$
$.....-4,-3,-2,-1$ Are negative integers and $1,2,3,4......$ are positive integers
Factors: A factor of a number is defined as the number which is an exact divisor of that number
Example: Let us consider a number $12$ , now we will check numbers smaller than and equal to $12$ which will divide it exactly or we can say that which will give $0$ remainder.
$1,2,3,4,6,12$ Divide $12$ exactly and $5,7,8,9,10,11$ do not divide $12$ exactly.
So, $1,2,3,4,6,12$ are factors of $12$ .
Some important properties of Factors:
$1$ And the number itself is always a factor of the given number.
Factors of a number will always be smaller than or equal to the given number.
Number of factors of a given number is always finite.
Multiples: A multiple of a number is a product of that number with any other whole number.
Example:
$\begin{align}
  & 2\times 1=2 \\
 & 2\times 2=4 \\
 & 2\times 3=6 \\
 & 2\times 4=8 \\
\end{align}$
So, $2,4,6,8$ are multiples of $2$ .
Some properties of multiples:
Every number is multiple of itself
Multiples of number is always greater than or equal to given number
 Number of multiples of a given number is infinite.
Prime Numbers: Prime numbers are the numbers which have only two factors that are $1$ and the number itself.
Example:
Factors of $3$ are $1\And 3$ only.
Factors of $5$ are $1\And 5$ only
$2,3,5,7,11...$ Are prime numbers.
$2$ Is the only even prime number.
Composite Numbers: Composite numbers are the numbers which are not prime numbers or we can say that numbers which have more than $2$ factors.
Example:
Factors of $4$ are $1,2\And 4$
Factors of $10$ are $1,2,5\And 10$ .

Note: Natural numbers. Whole numbers, Integers are part of the number system along with them rational numbers, irrational numbers and real numbers are also part of the number system. Along with prime numbers and composite numbers there are also co-prime members .Co prime numbers are the set of numbers which don't have any common factor other than $1$ .