Math Tutor Explains: Multiples of 3497

Multiples of 3497 are numbers that can be evenly divided by 3497 without leaving a remainder. A math tutor might explain it as the result of multiplying 3497 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 3497

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 3497, you could just multiply 3497 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 3497, start at 3497 and keep adding 3497 over and over: 3497, 6994, 10491, 13988, and so on. Each of these numbers is a multiple of 3497.

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 3497?

Let’s find the first 10 multiples of 3497 by multiplying:

34971=34973497 * 1 = 3497

34972=69943497 * 2 = 6994

34973=104913497 * 3 = 10491

34974=139883497 * 4 = 13988

34975=174853497 * 5 = 17485

34976=209823497 * 6 = 20982

34977=244793497 * 7 = 24479

34978=279763497 * 8 = 27976

34979=314733497 * 9 = 31473

349710=349703497 * 10 = 34970

So, the first 10 multiples of 3497 are: 3497, 6994, 10491, 13988, 13988, 20982, 24479, 27976, 31473 and 34970.

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 147 - The first five multiples of 147 are 147, 294, 441, 588, 735

Multiples of 823 - The first five multiples of 823 are 823, 1646, 2469, 3292, 4115

Multiples of 402 - The first five multiples of 402 are 402, 804, 1206, 1608, 2010

Multiples of 186 - The first five multiples of 186 are 186, 372, 558, 744, 930

Multiples of 66 - The first five multiples of 66 are 66, 132, 198, 264, 330

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