Math Tutor Explains: Multiples of 1524

Multiples of 1524 are numbers that can be evenly divided by 1524 without leaving a remainder. A math tutor might explain it as the result of multiplying 1524 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 1524

Methods

Methods for Finding Multiples from a Math Tutor

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 1524, you could just multiply 1524 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 1524, start at 1524 and keep adding 1524 over and over: 1524, 3048, 4572, 6096, and so on. Each of these numbers is a multiple of 1524.

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

What are the Multiples of 1524?

Let’s find the first 10 multiples of 1524 by multiplying:

15241=15241524 * 1 = 1524

15242=30481524 * 2 = 3048

15243=45721524 * 3 = 4572

15244=60961524 * 4 = 6096

15245=76201524 * 5 = 7620

15246=91441524 * 6 = 9144

15247=106681524 * 7 = 10668

15248=121921524 * 8 = 12192

15249=137161524 * 9 = 13716

152410=152401524 * 10 = 15240

So, the first 10 multiples of 1524 are: 1524, 3048, 4572, 6096, 6096, 9144, 10668, 12192, 13716 and 15240.

Interesting Facts about Multiples from a Math Tutor

• 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.

Math Tutor Tip: Try to Find The Multiples of Other 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 706 - The first five multiples of 706 are 706, 1412, 2118, 2824, 3530

Multiples of 691 - The first five multiples of 691 are 691, 1382, 2073, 2764, 3455

Multiples of 926 - The first five multiples of 926 are 926, 1852, 2778, 3704, 4630

Multiples of 75 - The first five multiples of 75 are 75, 150, 225, 300, 375

Multiples of 470 - The first five multiples of 470 are 470, 940, 1410, 1880, 2350

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