Understanding Multiples in Mathematics and Finding Infinite Sets

Multiples

In mathematics, multiples are numbers that can be obtained by repeatedly adding a given number to itself

In mathematics, multiples are numbers that can be obtained by repeatedly adding a given number to itself. The given number is called the “multiplicand” or the “base number”, and the resulting numbers are called the “multiples” of that base number.

For example, let’s take the base number 3. To find the multiples of 3, we can start by multiplying it by different whole numbers:

3 × 1 = 3 (which is the value of the base number itself)
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12

As we can see, these values are multiples of 3 because they are obtained by adding 3 to itself multiple times. We can continue this process and find many more multiples of 3, such as 15, 18, 21, and so on.

Multiples can be positive or negative. When dealing with negative numbers, the multiples are found by subtracting the base number repeatedly. For example, the multiples of -4 are -4, -8, -12, -16, and so on.

It is important to note that the set of multiples for any number is infinite, as we can keep adding or subtracting the base number and get new multiples.

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