Multiples of 231
Methods
Methods for Finding Multiples:
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 231 using this method, you could start at 231, and keep adding 231 over and over: 231, 462, 693, 924, and so on. Each of these numbers is a multiple of 231. 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 231. To find the first few multiples of 231, you could just multiply the 231 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 231?
To find the first 10 multiples of 231, let’s multiply in sequence from 1 to 10:
231
∗
1
=
231
231 * 1 = 231
231 ∗ 1 = 231
231
∗
2
=
462
231 * 2 = 462
231 ∗ 2 = 462
231
∗
3
=
693
231 * 3 = 693
231 ∗ 3 = 693
231
∗
4
=
924
231 * 4 = 924
231 ∗ 4 = 924
231
∗
5
=
1155
231 * 5 = 1155
231 ∗ 5 = 1155
231
∗
6
=
1386
231 * 6 = 1386
231 ∗ 6 = 1386
231
∗
7
=
1617
231 * 7 = 1617
231 ∗ 7 = 1617
231
∗
8
=
1848
231 * 8 = 1848
231 ∗ 8 = 1848
231
∗
9
=
2079
231 * 9 = 2079
231 ∗ 9 = 2079
231
∗
10
=
2310
231 * 10 = 2310
231 ∗ 10 = 2310
So, the first 10 multiples of 231 are: 231, 462, 693, 924, 1155, 1386, 1617, 1848, 2079 and 2310.
Interesting Facts 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.
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 742 - The first five multiples of 742 are 742, 1484, 2226, 2968, 3710
Multiples of 746 - The first five multiples of 746 are 746, 1492, 2238, 2984, 3730
Multiples of 890 - The first five multiples of 890 are 890, 1780, 2670, 3560, 4450
Multiples of 413 - The first five multiples of 413 are 413, 826, 1239, 1652, 2065
Multiples of 834 - The first five multiples of 834 are 834, 1668, 2502, 3336, 4170