Math Tutor Explains: Multiples of 404

Multiples of 404 are numbers that can be evenly divided by 404 without leaving a remainder. A math tutor might explain it as the result of multiplying 404 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 404

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 404, you could just multiply 404 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 404, start at 404 and keep adding 404 over and over: 404, 808, 1212, 1616, and so on. Each of these numbers is a multiple of 404.

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 404?

Let’s find the first 10 multiples of 404 by multiplying:

4041=404404 * 1 = 404

4042=808404 * 2 = 808

4043=1212404 * 3 = 1212

4044=1616404 * 4 = 1616

4045=2020404 * 5 = 2020

4046=2424404 * 6 = 2424

4047=2828404 * 7 = 2828

4048=3232404 * 8 = 3232

4049=3636404 * 9 = 3636

40410=4040404 * 10 = 4040

So, the first 10 multiples of 404 are: 404, 808, 1212, 1616, 1616, 2424, 2828, 3232, 3636 and 4040.

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 84 - The first five multiples of 84 are 84, 168, 252, 336, 420

Multiples of 570 - The first five multiples of 570 are 570, 1140, 1710, 2280, 2850

Multiples of 181 - The first five multiples of 181 are 181, 362, 543, 724, 905

Multiples of 730 - The first five multiples of 730 are 730, 1460, 2190, 2920, 3650

Multiples of 529 - The first five multiples of 529 are 529, 1058, 1587, 2116, 2645

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