Math Tutor Explains: Multiples of 1917

Multiples of 1917 are numbers that can be evenly divided by 1917 without leaving a remainder. A math tutor might explain it as the result of multiplying 1917 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 1917

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 1917, you could just multiply 1917 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 1917, start at 1917 and keep adding 1917 over and over: 1917, 3834, 5751, 7668, and so on. Each of these numbers is a multiple of 1917.

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 1917?

Let’s find the first 10 multiples of 1917 by multiplying:

19171=19171917 * 1 = 1917

19172=38341917 * 2 = 3834

19173=57511917 * 3 = 5751

19174=76681917 * 4 = 7668

19175=95851917 * 5 = 9585

19176=115021917 * 6 = 11502

19177=134191917 * 7 = 13419

19178=153361917 * 8 = 15336

19179=172531917 * 9 = 17253

191710=191701917 * 10 = 19170

So, the first 10 multiples of 1917 are: 1917, 3834, 5751, 7668, 7668, 11502, 13419, 15336, 17253 and 19170.

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 219 - The first five multiples of 219 are 219, 438, 657, 876, 1095

Multiples of 97 - The first five multiples of 97 are 97, 194, 291, 388, 485

Multiples of 521 - The first five multiples of 521 are 521, 1042, 1563, 2084, 2605

Multiples of 857 - The first five multiples of 857 are 857, 1714, 2571, 3428, 4285

Multiples of 518 - The first five multiples of 518 are 518, 1036, 1554, 2072, 2590

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