Math Tutor Explains: Multiples of 1681

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 1681, you could start at 1681, and keep adding 1681 over and over: 1681, 3362, 5043, 6724, and so on. Each of these numbers is a multiple of 1681. 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 1681, you could just multiply 1681 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 1681? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1681 are: 1681, 3362, 5043, 6724, 8405, 10086, 11767, 13448, 15129 and 16810.

There are an endless number of multiples of 1681. You could choose any number to multiply by 1681 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 129 - The first five multiples of 129 are 129, 258, 387, 516, 645

Multiples of 782 - The first five multiples of 782 are 782, 1564, 2346, 3128, 3910

Multiples of 525 - The first five multiples of 525 are 525, 1050, 1575, 2100, 2625

Multiples of 297 - The first five multiples of 297 are 297, 594, 891, 1188, 1485

Multiples of 862 - The first five multiples of 862 are 862, 1724, 2586, 3448, 4310