Math Tutor Explains: Multiples of 1014

Multiples of 1014 can be defined as any number that results from multiplying 1014 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1014s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1014

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 1014, you could start at 1014, and keep adding 1014 over and over: 1014, 2028, 3042, 4056, and so on. Each of these numbers is a multiple of 1014. 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 1014, you could just multiply 1014 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 1014?

So, what are the multiples of 1014? Let’s write it out using the multiplication method:

1014×1=10141014 × 1 = 1014

1014×2=20281014 × 2 = 2028

1014×3=30421014 × 3 = 3042

1014×4=40561014 × 4 = 4056

1014×5=50701014 × 5 = 5070

1014×6=60841014 × 6 = 6084

1014×7=70981014 × 7 = 7098

1014×8=81121014 × 8 = 8112

1014×9=91261014 × 9 = 9126

1014×10=101401014 × 10 = 10140

So, the first 10 multiples of 1014 are: 1014, 2028, 3042, 4056, 5070, 6084, 7098, 8112, 9126 and 10140.

There are an endless number of multiples of 1014. You could choose any number to multiply by 1014 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 871 - The first five multiples of 871 are 871, 1742, 2613, 3484, 4355

Multiples of 629 - The first five multiples of 629 are 629, 1258, 1887, 2516, 3145

Multiples of 581 - The first five multiples of 581 are 581, 1162, 1743, 2324, 2905

Multiples of 912 - The first five multiples of 912 are 912, 1824, 2736, 3648, 4560

Multiples of 855 - The first five multiples of 855 are 855, 1710, 2565, 3420, 4275

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