Math Tutor Explains: Multiples of 523

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 523, you could just multiply 523 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 523, start at 523 and keep adding 523 over and over: 523, 1046, 1569, 2092, and so on. Each of these numbers is a multiple of 523.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 523 by multiplying:

So, the first 10 multiples of 523 are: 523, 1046, 1569, 2092, 2092, 3138, 3661, 4184, 4707 and 5230.

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative numbers.

Finding multiples of any number can be done using the same methods as outlined above. You can see how this can be done with specific numbers, like the ones below, by clicking on the any of the links below:

Multiples of 861 - The first five multiples of 861 are 861, 1722, 2583, 3444, 4305

Multiples of 14 - The first five multiples of 14 are 14, 28, 42, 56, 70

Multiples of 448 - The first five multiples of 448 are 448, 896, 1344, 1792, 2240

Multiples of 357 - The first five multiples of 357 are 357, 714, 1071, 1428, 1785

Multiples of 870 - The first five multiples of 870 are 870, 1740, 2610, 3480, 4350