Math Tutor Explains: Multiples of 3314

Multiples of 3314 are numbers that can be evenly divided by 3314 without leaving a remainder. A math tutor might explain it as the result of multiplying 3314 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 3314

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 3314, you could just multiply 3314 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 3314, start at 3314 and keep adding 3314 over and over: 3314, 6628, 9942, 13256, and so on. Each of these numbers is a multiple of 3314.

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 3314?

Let’s find the first 10 multiples of 3314 by multiplying:

33141=33143314 * 1 = 3314

33142=66283314 * 2 = 6628

33143=99423314 * 3 = 9942

33144=132563314 * 4 = 13256

33145=165703314 * 5 = 16570

33146=198843314 * 6 = 19884

33147=231983314 * 7 = 23198

33148=265123314 * 8 = 26512

33149=298263314 * 9 = 29826

331410=331403314 * 10 = 33140

So, the first 10 multiples of 3314 are: 3314, 6628, 9942, 13256, 13256, 19884, 23198, 26512, 29826 and 33140.

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 318 - The first five multiples of 318 are 318, 636, 954, 1272, 1590

Multiples of 881 - The first five multiples of 881 are 881, 1762, 2643, 3524, 4405

Multiples of 971 - The first five multiples of 971 are 971, 1942, 2913, 3884, 4855

Multiples of 592 - The first five multiples of 592 are 592, 1184, 1776, 2368, 2960

Multiples of 998 - The first five multiples of 998 are 998, 1996, 2994, 3992, 4990

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