Math Tutor Explains: Multiples of 3424

Multiples of 3424 are numbers that can be evenly divided by 3424 without leaving a remainder. A math tutor might explain it as the result of multiplying 3424 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 3424

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 3424, you could just multiply 3424 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 3424, start at 3424 and keep adding 3424 over and over: 3424, 6848, 10272, 13696, and so on. Each of these numbers is a multiple of 3424.

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 3424?

Let’s find the first 10 multiples of 3424 by multiplying:

34241=34243424 * 1 = 3424

34242=68483424 * 2 = 6848

34243=102723424 * 3 = 10272

34244=136963424 * 4 = 13696

34245=171203424 * 5 = 17120

34246=205443424 * 6 = 20544

34247=239683424 * 7 = 23968

34248=273923424 * 8 = 27392

34249=308163424 * 9 = 30816

342410=342403424 * 10 = 34240

So, the first 10 multiples of 3424 are: 3424, 6848, 10272, 13696, 13696, 20544, 23968, 27392, 30816 and 34240.

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 513 - The first five multiples of 513 are 513, 1026, 1539, 2052, 2565

Multiples of 587 - The first five multiples of 587 are 587, 1174, 1761, 2348, 2935

Multiples of 460 - The first five multiples of 460 are 460, 920, 1380, 1840, 2300

Multiples of 600 - The first five multiples of 600 are 600, 1200, 1800, 2400, 3000

Multiples of 431 - The first five multiples of 431 are 431, 862, 1293, 1724, 2155

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