Math Tutor Explains: Multiples of 3071

Multiples of 3071 can be defined as any number that results from multiplying 3071 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3071s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3071

Methods

Methods for Finding Multiples: from a Math Tutor

For a beginner, a math tutor suggests that you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 3071, you could start at 3071, and keep adding 3071 over and over: 3071, 6142, 9213, 12284, and so on. Each of these numbers is a multiple of 3071. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.

Another way to do this is to use multiplication. To find the first few multiples of 3071, you could just multiply 3071 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

What are the Multiples of 3071?

So, what are the multiples of 3071? Let’s write it out using the multiplication method:

3071×1=30713071 × 1 = 3071

3071×2=61423071 × 2 = 6142

3071×3=92133071 × 3 = 9213

3071×4=122843071 × 4 = 12284

3071×5=153553071 × 5 = 15355

3071×6=184263071 × 6 = 18426

3071×7=214973071 × 7 = 21497

3071×8=245683071 × 8 = 24568

3071×9=276393071 × 9 = 27639

3071×10=307103071 × 10 = 30710

So, the first 10 multiples of 3071 are: 3071, 6142, 9213, 12284, 15355, 18426, 21497, 24568, 27639 and 30710.

There are an endless number of multiples of 3071. You could choose any number to multiply by 3071 to find a new multiple!

Interesting Facts Shared by a Math Tutor about Multiples

• Every number is considered the smallest multiple of itself.

• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.

• All multiples of even numbers are 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: Practice Finding 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 621 - The first five multiples of 621 are 621, 1242, 1863, 2484, 3105

Multiples of 573 - The first five multiples of 573 are 573, 1146, 1719, 2292, 2865

Multiples of 686 - The first five multiples of 686 are 686, 1372, 2058, 2744, 3430

Multiples of 282 - The first five multiples of 282 are 282, 564, 846, 1128, 1410

Multiples of 864 - The first five multiples of 864 are 864, 1728, 2592, 3456, 4320

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