Math Tutor Explains: Multiples of 1948

Multiples of 1948 are numbers that can be evenly divided by 1948 without leaving a remainder. A math tutor might explain it as the result of multiplying 1948 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 1948

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 1948, you could just multiply 1948 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 1948, start at 1948 and keep adding 1948 over and over: 1948, 3896, 5844, 7792, and so on. Each of these numbers is a multiple of 1948.

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 1948?

Let’s find the first 10 multiples of 1948 by multiplying:

19481=19481948 * 1 = 1948

19482=38961948 * 2 = 3896

19483=58441948 * 3 = 5844

19484=77921948 * 4 = 7792

19485=97401948 * 5 = 9740

19486=116881948 * 6 = 11688

19487=136361948 * 7 = 13636

19488=155841948 * 8 = 15584

19489=175321948 * 9 = 17532

194810=194801948 * 10 = 19480

So, the first 10 multiples of 1948 are: 1948, 3896, 5844, 7792, 7792, 11688, 13636, 15584, 17532 and 19480.

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 1000 - The first five multiples of 1000 are 1000, 2000, 3000, 4000, 5000

Multiples of 897 - The first five multiples of 897 are 897, 1794, 2691, 3588, 4485

Multiples of 547 - The first five multiples of 547 are 547, 1094, 1641, 2188, 2735

Multiples of 828 - The first five multiples of 828 are 828, 1656, 2484, 3312, 4140

Multiples of 988 - The first five multiples of 988 are 988, 1976, 2964, 3952, 4940

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