Multiples of 2006
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 2006, you could just multiply 2006 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 2006, start at 2006 and keep adding 2006 over and over: 2006, 4012, 6018, 8024, and so on. Each of these numbers is a multiple of 2006.
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 2006?
Let’s find the first 10 multiples of 2006 by multiplying:
2006
∗
1
=
2006
2006 * 1 = 2006
2006 ∗ 1 = 2006
2006
∗
2
=
4012
2006 * 2 = 4012
2006 ∗ 2 = 4012
2006
∗
3
=
6018
2006 * 3 = 6018
2006 ∗ 3 = 6018
2006
∗
4
=
8024
2006 * 4 = 8024
2006 ∗ 4 = 8024
2006
∗
5
=
10030
2006 * 5 = 10030
2006 ∗ 5 = 10030
2006
∗
6
=
12036
2006 * 6 = 12036
2006 ∗ 6 = 12036
2006
∗
7
=
14042
2006 * 7 = 14042
2006 ∗ 7 = 14042
2006
∗
8
=
16048
2006 * 8 = 16048
2006 ∗ 8 = 16048
2006
∗
9
=
18054
2006 * 9 = 18054
2006 ∗ 9 = 18054
2006
∗
10
=
20060
2006 * 10 = 20060
2006 ∗ 10 = 20060
So, the first 10 multiples of 2006 are: 2006, 4012, 6018, 8024, 8024, 12036, 14042, 16048, 18054 and 20060.
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 260 - The first five multiples of 260 are 260, 520, 780, 1040, 1300
Multiples of 290 - The first five multiples of 290 are 290, 580, 870, 1160, 1450
Multiples of 280 - The first five multiples of 280 are 280, 560, 840, 1120, 1400
Multiples of 165 - The first five multiples of 165 are 165, 330, 495, 660, 825
Multiples of 160 - The first five multiples of 160 are 160, 320, 480, 640, 800