# Composite Number Definition

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Composite number definition is an integer (number) that is exactly divisible by one positive number (integer) other than itself or 1. The composite number is a positive integer that can be factorized into two or more other positive numbers (integers). We can also define composite number as a number that is a multiple of at least 2 integers other than itself and 1. The prime numbers are not composite numbers or in other words integers that have no integral factors but itself and 1 are not composite number. The examples below will help to better understand composite numbers.

Example 1: Identify which of the following numbers are composite numbers and why.
a.    24
b.    82

Solution: To identify composite numbers we need to see it can be factorized into 2 or more positive numbers other than itself and 1.

a.    24 can be divided by 2, 3, 4, 6, 8 and 12 therefore it is a composite numbers
b.    82 can be divided by 2, 41 therefore it is a composite number

Example 2: Which of the following statements are true and false and why?
a.    43 is a composite number
b.    22 is a composite number
c.    53 is not a composite number

Solution:

a.    False that 43 is a composite number since 43 can be divided by 1 and 43 and no other integer.
b.    True since 22 can be divided by 2, 11.
c.    True since 53 can be divided by 1 and 53.