Math Tutor Explains: Multiples of 1223

Multiples of 1223 can be defined as any number that results from multiplying 1223 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1223s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1223

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 1223, you could start at 1223, and keep adding 1223 over and over: 1223, 2446, 3669, 4892, and so on. Each of these numbers is a multiple of 1223. 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 1223, you could just multiply 1223 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 1223?

So, what are the multiples of 1223? Let’s write it out using the multiplication method:

1223×1=12231223 × 1 = 1223

1223×2=24461223 × 2 = 2446

1223×3=36691223 × 3 = 3669

1223×4=48921223 × 4 = 4892

1223×5=61151223 × 5 = 6115

1223×6=73381223 × 6 = 7338

1223×7=85611223 × 7 = 8561

1223×8=97841223 × 8 = 9784

1223×9=110071223 × 9 = 11007

1223×10=122301223 × 10 = 12230

So, the first 10 multiples of 1223 are: 1223, 2446, 3669, 4892, 6115, 7338, 8561, 9784, 11007 and 12230.

There are an endless number of multiples of 1223. You could choose any number to multiply by 1223 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 856 - The first five multiples of 856 are 856, 1712, 2568, 3424, 4280

Multiples of 97 - The first five multiples of 97 are 97, 194, 291, 388, 485

Multiples of 463 - The first five multiples of 463 are 463, 926, 1389, 1852, 2315

Multiples of 653 - The first five multiples of 653 are 653, 1306, 1959, 2612, 3265

Multiples of 691 - The first five multiples of 691 are 691, 1382, 2073, 2764, 3455

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