Math Tutor Explains: Multiples of 1975

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 1975, you could start at 1975, and keep adding 1975 over and over: 1975, 3950, 5925, 7900, and so on. Each of these numbers is a multiple of 1975. 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 1975, you could just multiply 1975 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 1975? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1975 are: 1975, 3950, 5925, 7900, 9875, 11850, 13825, 15800, 17775 and 19750.

There are an endless number of multiples of 1975. You could choose any number to multiply by 1975 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 762 - The first five multiples of 762 are 762, 1524, 2286, 3048, 3810

Multiples of 408 - The first five multiples of 408 are 408, 816, 1224, 1632, 2040

Multiples of 411 - The first five multiples of 411 are 411, 822, 1233, 1644, 2055

Multiples of 991 - The first five multiples of 991 are 991, 1982, 2973, 3964, 4955

Multiples of 151 - The first five multiples of 151 are 151, 302, 453, 604, 755