Math Tutor Explains: Multiples of 3711

Multiples of 3711 are numbers that can be evenly divided by 3711 without leaving a remainder. A math tutor might explain it as the result of multiplying 3711 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 3711

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 3711, you could just multiply 3711 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 3711, start at 3711 and keep adding 3711 over and over: 3711, 7422, 11133, 14844, and so on. Each of these numbers is a multiple of 3711.

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 3711?

Let’s find the first 10 multiples of 3711 by multiplying:

37111=37113711 * 1 = 3711

37112=74223711 * 2 = 7422

37113=111333711 * 3 = 11133

37114=148443711 * 4 = 14844

37115=185553711 * 5 = 18555

37116=222663711 * 6 = 22266

37117=259773711 * 7 = 25977

37118=296883711 * 8 = 29688

37119=333993711 * 9 = 33399

371110=371103711 * 10 = 37110

So, the first 10 multiples of 3711 are: 3711, 7422, 11133, 14844, 14844, 22266, 25977, 29688, 33399 and 37110.

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 441 - The first five multiples of 441 are 441, 882, 1323, 1764, 2205

Multiples of 193 - The first five multiples of 193 are 193, 386, 579, 772, 965

Multiples of 70 - The first five multiples of 70 are 70, 140, 210, 280, 350

Multiples of 488 - The first five multiples of 488 are 488, 976, 1464, 1952, 2440

Multiples of 974 - The first five multiples of 974 are 974, 1948, 2922, 3896, 4870

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