Math Tutor Explains: Multiples of 1231

Multiples of 1231 are any numbers that result from multiplying 1231 by a whole number. In reverse, any number that can be divided by 1231 and results in a whole number is also a multiple of 1231. A math tutor can help explain these concepts in detail and provide strategies to quickly identify multiples.

Multiples of 1231

Methods

Methods for Finding Multiples: from a Math Tutor

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 1231 using this method, you could start at 1231, and keep adding 1231 over and over: 1231, 2462, 3693, 4924, and so on. Each of these numbers is a multiple of 1231. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 1231. To find the first few multiples of 1231, you could just multiply the 1231 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

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 1231?

To find the first 10 multiples of 1231, let’s multiply in sequence from 1 to 10:

12311=12311231 * 1 = 1231

12312=24621231 * 2 = 2462

12313=36931231 * 3 = 3693

12314=49241231 * 4 = 4924

12315=61551231 * 5 = 6155

12316=73861231 * 6 = 7386

12317=86171231 * 7 = 8617

12318=98481231 * 8 = 9848

12319=110791231 * 9 = 11079

123110=123101231 * 10 = 12310

So, the first 10 multiples of 1231 are: 1231, 2462, 3693, 4924, 6155, 7386, 8617, 9848, 11079 and 12310.

Interesting Facts Shared by a Math Tutor about Multiples

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be even.

• The multiples of odd numbers, in sequence, alternate between odd and even numbers.

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

Math Tutor Suggests Exploring: Want to Find Other Multiples?

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 369 - The first five multiples of 369 are 369, 738, 1107, 1476, 1845

Multiples of 310 - The first five multiples of 310 are 310, 620, 930, 1240, 1550

Multiples of 433 - The first five multiples of 433 are 433, 866, 1299, 1732, 2165

Multiples of 877 - The first five multiples of 877 are 877, 1754, 2631, 3508, 4385

Multiples of 753 - The first five multiples of 753 are 753, 1506, 2259, 3012, 3765

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