Math Tutor Explains: Multiples of 3969

Multiples of 3969 are numbers that can be evenly divided by 3969 without leaving a remainder. A math tutor might explain it as the result of multiplying 3969 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 3969

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 3969, you could just multiply 3969 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 3969, start at 3969 and keep adding 3969 over and over: 3969, 7938, 11907, 15876, and so on. Each of these numbers is a multiple of 3969.

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 3969?

Let’s find the first 10 multiples of 3969 by multiplying:

39691=39693969 * 1 = 3969

39692=79383969 * 2 = 7938

39693=119073969 * 3 = 11907

39694=158763969 * 4 = 15876

39695=198453969 * 5 = 19845

39696=238143969 * 6 = 23814

39697=277833969 * 7 = 27783

39698=317523969 * 8 = 31752

39699=357213969 * 9 = 35721

396910=396903969 * 10 = 39690

So, the first 10 multiples of 3969 are: 3969, 7938, 11907, 15876, 15876, 23814, 27783, 31752, 35721 and 39690.

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 704 - The first five multiples of 704 are 704, 1408, 2112, 2816, 3520

Multiples of 917 - The first five multiples of 917 are 917, 1834, 2751, 3668, 4585

Multiples of 482 - The first five multiples of 482 are 482, 964, 1446, 1928, 2410

Multiples of 921 - The first five multiples of 921 are 921, 1842, 2763, 3684, 4605

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

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