Math Tutor Explains: Multiples of 1996

Multiples of 1996 are numbers that can be evenly divided by 1996 without leaving a remainder. A math tutor might explain it as the result of multiplying 1996 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 1996

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 1996, you could just multiply 1996 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 1996, start at 1996 and keep adding 1996 over and over: 1996, 3992, 5988, 7984, and so on. Each of these numbers is a multiple of 1996.

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 1996?

Let’s find the first 10 multiples of 1996 by multiplying:

19961=19961996 * 1 = 1996

19962=39921996 * 2 = 3992

19963=59881996 * 3 = 5988

19964=79841996 * 4 = 7984

19965=99801996 * 5 = 9980

19966=119761996 * 6 = 11976

19967=139721996 * 7 = 13972

19968=159681996 * 8 = 15968

19969=179641996 * 9 = 17964

199610=199601996 * 10 = 19960

So, the first 10 multiples of 1996 are: 1996, 3992, 5988, 7984, 7984, 11976, 13972, 15968, 17964 and 19960.

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 875 - The first five multiples of 875 are 875, 1750, 2625, 3500, 4375

Multiples of 95 - The first five multiples of 95 are 95, 190, 285, 380, 475

Multiples of 795 - The first five multiples of 795 are 795, 1590, 2385, 3180, 3975

Multiples of 993 - The first five multiples of 993 are 993, 1986, 2979, 3972, 4965

Multiples of 721 - The first five multiples of 721 are 721, 1442, 2163, 2884, 3605

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