Math Tutor Explains: Multiples of 307

Multiples of 307 are numbers that can be evenly divided by 307 without leaving a remainder. A math tutor might explain it as the result of multiplying 307 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 307

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 307, you could just multiply 307 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 307, start at 307 and keep adding 307 over and over: 307, 614, 921, 1228, and so on. Each of these numbers is a multiple of 307.

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 307?

Let’s find the first 10 multiples of 307 by multiplying:

3071=307307 * 1 = 307

3072=614307 * 2 = 614

3073=921307 * 3 = 921

3074=1228307 * 4 = 1228

3075=1535307 * 5 = 1535

3076=1842307 * 6 = 1842

3077=2149307 * 7 = 2149

3078=2456307 * 8 = 2456

3079=2763307 * 9 = 2763

30710=3070307 * 10 = 3070

So, the first 10 multiples of 307 are: 307, 614, 921, 1228, 1228, 1842, 2149, 2456, 2763 and 3070.

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 881 - The first five multiples of 881 are 881, 1762, 2643, 3524, 4405

Multiples of 319 - The first five multiples of 319 are 319, 638, 957, 1276, 1595

Multiples of 207 - The first five multiples of 207 are 207, 414, 621, 828, 1035

Multiples of 161 - The first five multiples of 161 are 161, 322, 483, 644, 805

Multiples of 814 - The first five multiples of 814 are 814, 1628, 2442, 3256, 4070

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