Math Tutor Explains: Multiples of 460

Multiples of 460 are numbers that can be evenly divided by 460 without leaving a remainder. A math tutor might explain it as the result of multiplying 460 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 460

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 460, you could just multiply 460 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 460, start at 460 and keep adding 460 over and over: 460, 920, 1380, 1840, and so on. Each of these numbers is a multiple of 460.

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 460?

Let’s find the first 10 multiples of 460 by multiplying:

4601=460460 * 1 = 460

4602=920460 * 2 = 920

4603=1380460 * 3 = 1380

4604=1840460 * 4 = 1840

4605=2300460 * 5 = 2300

4606=2760460 * 6 = 2760

4607=3220460 * 7 = 3220

4608=3680460 * 8 = 3680

4609=4140460 * 9 = 4140

46010=4600460 * 10 = 4600

So, the first 10 multiples of 460 are: 460, 920, 1380, 1840, 1840, 2760, 3220, 3680, 4140 and 4600.

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 240 - The first five multiples of 240 are 240, 480, 720, 960, 1200

Multiples of 158 - The first five multiples of 158 are 158, 316, 474, 632, 790

Multiples of 810 - The first five multiples of 810 are 810, 1620, 2430, 3240, 4050

Multiples of 167 - The first five multiples of 167 are 167, 334, 501, 668, 835

Multiples of 45 - The first five multiples of 45 are 45, 90, 135, 180, 225

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