Math Tutor Explains: Multiples of 261

Multiples of 261 are numbers that can be evenly divided by 261 without leaving a remainder. A math tutor might explain it as the result of multiplying 261 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 261

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 261, you could just multiply 261 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 261, start at 261 and keep adding 261 over and over: 261, 522, 783, 1044, and so on. Each of these numbers is a multiple of 261.

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 261?

Let’s find the first 10 multiples of 261 by multiplying:

2611=261261 * 1 = 261

2612=522261 * 2 = 522

2613=783261 * 3 = 783

2614=1044261 * 4 = 1044

2615=1305261 * 5 = 1305

2616=1566261 * 6 = 1566

2617=1827261 * 7 = 1827

2618=2088261 * 8 = 2088

2619=2349261 * 9 = 2349

26110=2610261 * 10 = 2610

So, the first 10 multiples of 261 are: 261, 522, 783, 1044, 1044, 1566, 1827, 2088, 2349 and 2610.

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 715 - The first five multiples of 715 are 715, 1430, 2145, 2860, 3575

Multiples of 718 - The first five multiples of 718 are 718, 1436, 2154, 2872, 3590

Multiples of 502 - The first five multiples of 502 are 502, 1004, 1506, 2008, 2510

Multiples of 693 - The first five multiples of 693 are 693, 1386, 2079, 2772, 3465

Multiples of 713 - The first five multiples of 713 are 713, 1426, 2139, 2852, 3565

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