Math Tutor Explains: Multiples of 495

Multiples of 495 are numbers that can be evenly divided by 495 without leaving a remainder. A math tutor might explain it as the result of multiplying 495 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 495

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 495, you could just multiply 495 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 495, start at 495 and keep adding 495 over and over: 495, 990, 1485, 1980, and so on. Each of these numbers is a multiple of 495.

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 495?

Let’s find the first 10 multiples of 495 by multiplying:

4951=495495 * 1 = 495

4952=990495 * 2 = 990

4953=1485495 * 3 = 1485

4954=1980495 * 4 = 1980

4955=2475495 * 5 = 2475

4956=2970495 * 6 = 2970

4957=3465495 * 7 = 3465

4958=3960495 * 8 = 3960

4959=4455495 * 9 = 4455

49510=4950495 * 10 = 4950

So, the first 10 multiples of 495 are: 495, 990, 1485, 1980, 1980, 2970, 3465, 3960, 4455 and 4950.

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 928 - The first five multiples of 928 are 928, 1856, 2784, 3712, 4640

Multiples of 784 - The first five multiples of 784 are 784, 1568, 2352, 3136, 3920

Multiples of 236 - The first five multiples of 236 are 236, 472, 708, 944, 1180

Multiples of 990 - The first five multiples of 990 are 990, 1980, 2970, 3960, 4950

Multiples of 384 - The first five multiples of 384 are 384, 768, 1152, 1536, 1920

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