Multiples of 4001

Multiples of 4001 are any number that can be divided by 4001 without any remainder. In other words, any number that can be split into multiple 4001s, without anything extra. Another way to understand multiples is to compare them to counting an object. For instance, I may have one ball, or I may have six balls, but I can’t have 3 and a half balls.

Multiples of 4001

Methods

Methods for Finding Multiples:

The most common way to find multiples is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 4001, you could just multiply 4001 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 4001, start at 4001 and keep adding 4001 over and over: 4001, 8002, 12003, 16004, and so on. Each of these numbers is a multiple of 4001.

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 4001?

Let’s find the first 10 multiples of 4001 by multiplying:

40011=40014001 * 1 = 4001

40012=80024001 * 2 = 8002

40013=120034001 * 3 = 12003

40014=160044001 * 4 = 16004

40015=200054001 * 5 = 20005

40016=240064001 * 6 = 24006

40017=280074001 * 7 = 28007

40018=320084001 * 8 = 32008

40019=360094001 * 9 = 36009

400110=400104001 * 10 = 40010

So, the first 10 multiples of 4001 are: 4001, 8002, 12003, 16004, 16004, 24006, 28007, 32008, 36009 and 40010.

Interesting Facts about Multiples

• 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.

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 161 - The first five multiples of 161 are 161, 322, 483, 644, 805

Multiples of 964 - The first five multiples of 964 are 964, 1928, 2892, 3856, 4820

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

Multiples of 751 - The first five multiples of 751 are 751, 1502, 2253, 3004, 3755

Multiples of 722 - The first five multiples of 722 are 722, 1444, 2166, 2888, 3610

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