Math Tutor Explains: Multiples of 3478

Multiples of 3478 are numbers that can be evenly divided by 3478 without leaving a remainder. A math tutor might explain it as the result of multiplying 3478 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 3478

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 3478, you could just multiply 3478 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 3478, start at 3478 and keep adding 3478 over and over: 3478, 6956, 10434, 13912, and so on. Each of these numbers is a multiple of 3478.

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 3478?

Let’s find the first 10 multiples of 3478 by multiplying:

34781=34783478 * 1 = 3478

34782=69563478 * 2 = 6956

34783=104343478 * 3 = 10434

34784=139123478 * 4 = 13912

34785=173903478 * 5 = 17390

34786=208683478 * 6 = 20868

34787=243463478 * 7 = 24346

34788=278243478 * 8 = 27824

34789=313023478 * 9 = 31302

347810=347803478 * 10 = 34780

So, the first 10 multiples of 3478 are: 3478, 6956, 10434, 13912, 13912, 20868, 24346, 27824, 31302 and 34780.

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 639 - The first five multiples of 639 are 639, 1278, 1917, 2556, 3195

Multiples of 421 - The first five multiples of 421 are 421, 842, 1263, 1684, 2105

Multiples of 297 - The first five multiples of 297 are 297, 594, 891, 1188, 1485

Multiples of 67 - The first five multiples of 67 are 67, 134, 201, 268, 335

Multiples of 223 - The first five multiples of 223 are 223, 446, 669, 892, 1115

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