Math Tutor Explains: Multiples of 2310

Multiples of 2310 are numbers that can be evenly divided by 2310 without leaving a remainder. A math tutor might explain it as the result of multiplying 2310 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 2310

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 2310, you could just multiply 2310 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 2310, start at 2310 and keep adding 2310 over and over: 2310, 4620, 6930, 9240, and so on. Each of these numbers is a multiple of 2310.

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 2310?

Let’s find the first 10 multiples of 2310 by multiplying:

23101=23102310 * 1 = 2310

23102=46202310 * 2 = 4620

23103=69302310 * 3 = 6930

23104=92402310 * 4 = 9240

23105=115502310 * 5 = 11550

23106=138602310 * 6 = 13860

23107=161702310 * 7 = 16170

23108=184802310 * 8 = 18480

23109=207902310 * 9 = 20790

231010=231002310 * 10 = 23100

So, the first 10 multiples of 2310 are: 2310, 4620, 6930, 9240, 9240, 13860, 16170, 18480, 20790 and 23100.

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 732 - The first five multiples of 732 are 732, 1464, 2196, 2928, 3660

Multiples of 316 - The first five multiples of 316 are 316, 632, 948, 1264, 1580

Multiples of 119 - The first five multiples of 119 are 119, 238, 357, 476, 595

Multiples of 397 - The first five multiples of 397 are 397, 794, 1191, 1588, 1985

Multiples of 196 - The first five multiples of 196 are 196, 392, 588, 784, 980

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