Math Tutor Explains: Multiples of 3601

Multiples of 3601 are numbers that can be evenly divided by 3601 without leaving a remainder. A math tutor might explain it as the result of multiplying 3601 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 3601

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 3601, you could just multiply 3601 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 3601, start at 3601 and keep adding 3601 over and over: 3601, 7202, 10803, 14404, and so on. Each of these numbers is a multiple of 3601.

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 3601?

Let’s find the first 10 multiples of 3601 by multiplying:

36011=36013601 * 1 = 3601

36012=72023601 * 2 = 7202

36013=108033601 * 3 = 10803

36014=144043601 * 4 = 14404

36015=180053601 * 5 = 18005

36016=216063601 * 6 = 21606

36017=252073601 * 7 = 25207

36018=288083601 * 8 = 28808

36019=324093601 * 9 = 32409

360110=360103601 * 10 = 36010

So, the first 10 multiples of 3601 are: 3601, 7202, 10803, 14404, 14404, 21606, 25207, 28808, 32409 and 36010.

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 644 - The first five multiples of 644 are 644, 1288, 1932, 2576, 3220

Multiples of 462 - The first five multiples of 462 are 462, 924, 1386, 1848, 2310

Multiples of 959 - The first five multiples of 959 are 959, 1918, 2877, 3836, 4795

Multiples of 517 - The first five multiples of 517 are 517, 1034, 1551, 2068, 2585

Multiples of 551 - The first five multiples of 551 are 551, 1102, 1653, 2204, 2755

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