Difference Between Prime and Composite Numbers
Prime Numbers and Composite Numbers
Prime Numbers are natural numbers higher than one with just two different divisors: the number itself and 1. Prime numbers include 2, 3, 5, 7, 11, and 13 since their only divisors are 1 and the number itself.
Composite Numbers, on the other hand, are natural numbers bigger than one that have more than two different divisors. For example, 4, 6, 8, 9, and 12 are composite numbers because they have divisors other than 1 and the number itself.
The main distinguishing features between prime number and composite numbers are listed in the following table:
Prime Numbers Vs Composite Numbers |
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Characteristic | Prime Numbers | Composite Numbers |
Definition | Natural numbers greater than 1 that have no positive divisors other than 1 and themselves. | Natural numbers greater than 1 that have multiple positive divisors other than 1 and themselves. |
Examples | 2, 3, 5, 7, 11, 13, 17, 19, 23, . . . | 4, 6, 8, 9, 10, 12, 14, 15, 21, . . . |
Factors | Only have two distinct positive divisors, 1 and themselves. | Have more than two distinct positive divisors. |
Divisibility | Cannot be divided evenly by any other natural number except 1 and itself. | Can be divided evenly by at least one natural number other than 1 and itself. |
Number of Divisors | Prime numbers have exactly two divisors, 1 and the number itself. | Composite numbers have more than two divisors. |
Density in the Set of Natural Numbers | Prime numbers are relatively sparse and become less frequent as numbers get larger. | Composite numbers are more common, especially as numbers get larger. |
Examples | 2, 3, 5, 7, 11, 13, 17, 19, 23, … | 4, 6, 8, 9, 10, 12, 14, 15, 21, … |
What are Composite Numbers? Definition, Types, List, Chart, Properties, Examples
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. It is also a positive integer that has at least one divisor other than 1 and itself. Composite numbers having a minimum of 3 factors are the opposite of prime numbers, which only have 2 factors.
In this article, we’ll explore composite numbers from 1 to 1000, their significance, definition, and examples. We’ll also study the various types of composite numbers, examine the distinctions between prime and composite numbers, and learn methods for identifying whether a number is composite or not.
Table of Content
- What are Composite Numbers?
- Composite Numbers From 1 to 1000
- How to Find the Composite Number?
- Special Composite Numbers
- Neither Prime nor Composite
- Prime Vs Composite Numbers