Math Tutor Explains: Multiples of 4214

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 4214, you could start at 4214, and keep adding 4214 over and over: 4214, 8428, 12642, 16856, and so on. Each of these numbers is a multiple of 4214. 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 4214, you could just multiply 4214 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

So, what are the multiples of 4214? Let’s write it out using the multiplication method:

So, the first 10 multiples of 4214 are: 4214, 8428, 12642, 16856, 21070, 25284, 29498, 33712, 37926 and 42140.

There are an endless number of multiples of 4214. You could choose any number to multiply by 4214 to find a new multiple!

• 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.

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 43 - The first five multiples of 43 are 43, 86, 129, 172, 215

Multiples of 308 - The first five multiples of 308 are 308, 616, 924, 1232, 1540

Multiples of 969 - The first five multiples of 969 are 969, 1938, 2907, 3876, 4845

Multiples of 249 - The first five multiples of 249 are 249, 498, 747, 996, 1245

Multiples of 555 - The first five multiples of 555 are 555, 1110, 1665, 2220, 2775