Math Tutor Explains: Multiples of 3003

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 3003, you could just multiply 3003 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 3003, start at 3003 and keep adding 3003 over and over: 3003, 6006, 9009, 12012, and so on. Each of these numbers is a multiple of 3003.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 3003 by multiplying:

So, the first 10 multiples of 3003 are: 3003, 6006, 9009, 12012, 12012, 18018, 21021, 24024, 27027 and 30030.

• 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.

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 477 - The first five multiples of 477 are 477, 954, 1431, 1908, 2385

Multiples of 422 - The first five multiples of 422 are 422, 844, 1266, 1688, 2110

Multiples of 641 - The first five multiples of 641 are 641, 1282, 1923, 2564, 3205

Multiples of 896 - The first five multiples of 896 are 896, 1792, 2688, 3584, 4480

Multiples of 339 - The first five multiples of 339 are 339, 678, 1017, 1356, 1695