Understanding and Finding Multiples: Exploring the Concept and Application in Mathematics

Multiples

Multiples are numbers that can be obtained by multiplying a given number by other whole numbers

Multiples are numbers that can be obtained by multiplying a given number by other whole numbers. In other words, multiples are the products of a number and any integer.

To find the multiples of a number, you can start by multiplying that number by different integers and listing the results. For example, let’s find the multiples of the number 5:

Multiples of 5: 5, 10, 15, 20, 25, 30, …

In this case, we have multiplied 5 by integers like 1, 2, 3, etc., to obtain the multiples.

It’s important to note that multiples of a number can be positive, negative, or zero depending on the sign of the original number. For example, the multiples of -3 would be -3, -6, -9, -12, -15, and so on.

Additionally, every number has infinitely many multiples. This is because you can keep multiplying the number by larger and larger integers without end.

Multiples are useful in many mathematical concepts, such as finding common multiples, understanding divisibility rules, or solving equations involving multiples.

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