Math Tutor Explains: Multiples of 1975

Multiples of 1975 are numbers that can be evenly divided by 1975 without leaving a remainder. A math tutor might explain it as the result of multiplying 1975 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 1975

Methods

Methods for Finding Multiples from a Math Tutor

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 1975, you could just multiply 1975 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 1975, 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.

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

What are the Multiples of 1975?

Let’s find the first 10 multiples of 1975 by multiplying:

19751=19751975 * 1 = 1975

19752=39501975 * 2 = 3950

19753=59251975 * 3 = 5925

19754=79001975 * 4 = 7900

19755=98751975 * 5 = 9875

19756=118501975 * 6 = 11850

19757=138251975 * 7 = 13825

19758=158001975 * 8 = 15800

19759=177751975 * 9 = 17775

197510=197501975 * 10 = 19750

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

Interesting Facts about Multiples from a Math Tutor

• 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.

Math Tutor Tip: Try to Find The 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 199 - The first five multiples of 199 are 199, 398, 597, 796, 995

Multiples of 189 - The first five multiples of 189 are 189, 378, 567, 756, 945

Multiples of 885 - The first five multiples of 885 are 885, 1770, 2655, 3540, 4425

Multiples of 565 - The first five multiples of 565 are 565, 1130, 1695, 2260, 2825

Multiples of 760 - The first five multiples of 760 are 760, 1520, 2280, 3040, 3800

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