Math Tutor Explains: Multiples of 1829

Multiples of 1829 can be defined as any number that results from multiplying 1829 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1829s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1829

Methods

Methods for Finding Multiples: from a Math Tutor

For a beginner, a math tutor suggests that you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 1829, you could start at 1829, and keep adding 1829 over and over: 1829, 3658, 5487, 7316, and so on. Each of these numbers is a multiple of 1829. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.

Another way to do this is to use multiplication. To find the first few multiples of 1829, you could just multiply 1829 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

What are the Multiples of 1829?

So, what are the multiples of 1829? Let’s write it out using the multiplication method:

1829×1=18291829 × 1 = 1829

1829×2=36581829 × 2 = 3658

1829×3=54871829 × 3 = 5487

1829×4=73161829 × 4 = 7316

1829×5=91451829 × 5 = 9145

1829×6=109741829 × 6 = 10974

1829×7=128031829 × 7 = 12803

1829×8=146321829 × 8 = 14632

1829×9=164611829 × 9 = 16461

1829×10=182901829 × 10 = 18290

So, the first 10 multiples of 1829 are: 1829, 3658, 5487, 7316, 9145, 10974, 12803, 14632, 16461 and 18290.

There are an endless number of multiples of 1829. You could choose any number to multiply by 1829 to find a new multiple!

Interesting Facts Shared by a Math Tutor about Multiples

• Every number is considered the smallest multiple of itself.

• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.

• All multiples of even numbers are 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: Practice Finding 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 859 - The first five multiples of 859 are 859, 1718, 2577, 3436, 4295

Multiples of 818 - The first five multiples of 818 are 818, 1636, 2454, 3272, 4090

Multiples of 427 - The first five multiples of 427 are 427, 854, 1281, 1708, 2135

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

Multiples of 637 - The first five multiples of 637 are 637, 1274, 1911, 2548, 3185

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