Definition of multiple - What it is, Meaning and Concept

From the Latin multiplus , multiplo is an adjective that is used in the math and in the grammar .In math, this is the number or the amount that contains another or another several times exactly .

An integer r is a multiple of an integer s when there is another natural number that, multiplied by s , results in r .For example: 12 is a multiple of 3 since 3 x 4=12 .We see then that if 3 we multiply it by 4 , we have as a result 12 , which means that 12 is a multiple of 3 .

If we want to know if a number is multiple of another, we must perform a division operation between the two.When the quotient is a numer or integer (and, therefore, the rest of the operation is 0 ), we are facing a multiple number of the other.Returning to our previous example, 12/3=4 .

The set of multiples of a natural number is infinite.In other words, there are as many multiples of a number as natural numbers.The multiples of 3 are {3, 6, 9 , 12, 15.18, 21…} .Let's see the properties of the multiples below:

* all integers are multiples of 1, since any number can be obtained by multiplying by 1 (18 x 1=18, 134 x 1=134);

* if a number a is a multiple of b, it is also given that b is a divisor of a (since 33 is a multiple of 11, 11 is a divisor of 33, since 33/3=11);

* 0 (zero) is a multiple of any number, that is, multiplying it by any value gives 0;

* by adding different multiples of a given number, you get another multiple of it;

* similar to the previous point, the difference of two multiples of any number results in a third multiple;

* if a is a multiple of b and this, of c, then a is a multiple of c;

* if a is multiple of b, all multiples of a are also multiples of b.

Submultiplo

A submultiplo is any number to which another contains exactly (with zero remainder) a certain number of times, for example, 3 is a submultiple of 27, since it contains it 9 times (3 x 9=27).Vista from another perspective, for this condition is also necessary that the second number is a multiple of the first (27 is, in effect, a multiple of 3).

In the real world, in practice , multiples and submultiples have different applications, the most common being the conversion of units of measurement to facilitate the understanding of information; For example, to talk about the extension of a road, people usually talk in kilometers, while millimeters are used to express the thickness of a mobile phone.

Let's see some of the submultiples of the most used units of measurement:

* gram: decigram, centigram and milligram;

* liter: deciliter, centiliter and milliliter;

* meter: decimeter, centimeter and millimeter.

On the other hand, let's analyze the properties of submultiples:

* 1 is a submultiple of any given number, since the division of a number by itself always gives 1;

* all numbers are submultiples of them, since they are obtained as a result of their division by 1;

* all numbers are submultiples of 0.

Other meanings

In the field of grammar, an adjective or multiple numeral noun is whose meaning is generated from the multiplication of a quantity . Double , triple , quadruple and quintuple are examples of multiples: "My room is twice as big as yours" , "The musician was subjected to a triple by pass" .