We explain what natural numbers are and some of their characteristics. The greatest common divisor and the least common multiple.
What are natural numbers?
The natural numbers are the numbers that in the history of man first served to count the objects, not only for their accounting but also to order them. These numbers start from the number 1. There is no total or final amount of natural numbers, they are infinite.
The natural numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ... etc. As we can see, these numbers do not admit fractions (decimals). It should be clarified that the number zero It is sometimes considered a natural number, but generally it is not.
On the other hand, it is said that natural numbers always have a successor number. And the natural numbers do not discriminate between numbers pairs and odd, they understand all of them. They do not admit fractions or negative numbers. They are distinguished from integers, since integers also include negative numbers. As for the written expression of natural numbers, these are represented by the letter N, in capital letters.
The natural numbers are also the primary basis on which all operations and operations are based. math functions, addition, subtraction, multiplication and division. Also to trigonometric functions and equations. In short, they are the basic elements without which mathematics could not exist, also all the Sciences that use these types of calculations such as geometry, engineering, chemistry, physical, all require the math and of the natural numbers.
distribution particular. And your steps to find it are the fact of decomposing the number into prime numbers, choosing the prime factors of greater exponent and then calculating the product of these factors.
Mainly two uses are distinguished that are fundamental, firstly to describe the position that a certain element occupies within an ordered sequence, and to specify the size of a finite set, which in turn is generalized in the concept of cardinal number ( set theory). And secondly, the other use of great importance is that of the mathematical construction of integers.
The order of the natural numbers in a given operation does not alter the result, this is the so-called "commutative property" of the natural numbers.