Math Tutor Explains: Multiples of 49

Multiples of 49 are any numbers that result from multiplying 49 by a whole number. In reverse, any number that can be divided by 49 and results in a whole number is also a multiple of 49. A math tutor can help explain these concepts in detail and provide strategies to quickly identify multiples.

Multiples of 49

Methods

Methods for Finding Multiples: from a Math Tutor

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 49 using this method, you could start at 49, and keep adding 49 over and over: 49, 98, 147, 196, and so on. Each of these numbers is a multiple of 49. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 49. To find the first few multiples of 49, you could just multiply the 49 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

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 49?

To find the first 10 multiples of 49, let’s multiply in sequence from 1 to 10:

491=4949 * 1 = 49

492=9849 * 2 = 98

493=14749 * 3 = 147

494=19649 * 4 = 196

495=24549 * 5 = 245

496=29449 * 6 = 294

497=34349 * 7 = 343

498=39249 * 8 = 392

499=44149 * 9 = 441

4910=49049 * 10 = 490

So, the first 10 multiples of 49 are: 49, 98, 147, 196, 245, 294, 343, 392, 441 and 490.

Interesting Facts Shared by a Math Tutor about Multiples

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be even.

• The multiples of odd numbers, in sequence, alternate between odd and even numbers.

• You can also find the negative multiples of a number by multiplying by negative numbers.

Math Tutor Suggests Exploring: Want to Find Other Multiples?

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 64 - The first five multiples of 64 are 64, 128, 192, 256, 320

Multiples of 546 - The first five multiples of 546 are 546, 1092, 1638, 2184, 2730

Multiples of 825 - The first five multiples of 825 are 825, 1650, 2475, 3300, 4125

Multiples of 690 - The first five multiples of 690 are 690, 1380, 2070, 2760, 3450

Multiples of 743 - The first five multiples of 743 are 743, 1486, 2229, 2972, 3715

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