Multiples of 2009
Methods
Methods for Finding Multiples:
For a beginner, you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 2009, you could start at 2009, and keep adding 2009 over and over: 2009, 4018, 6027, 8036, and so on. Each of these numbers is a multiple of 2009. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.
Another way to do this is to use multiplication. To find the first few multiples of 2009, you could just multiply 2009 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.
What are the Multiples of 2009?
So, what are the multiples of 2009? Let’s write it out using the multiplication method:
2009
×
1
=
2009
2009 × 1 = 2009
2009 × 1 = 2009
2009
×
2
=
4018
2009 × 2 = 4018
2009 × 2 = 4018
2009
×
3
=
6027
2009 × 3 = 6027
2009 × 3 = 6027
2009
×
4
=
8036
2009 × 4 = 8036
2009 × 4 = 8036
2009
×
5
=
10045
2009 × 5 = 10045
2009 × 5 = 10045
2009
×
6
=
12054
2009 × 6 = 12054
2009 × 6 = 12054
2009
×
7
=
14063
2009 × 7 = 14063
2009 × 7 = 14063
2009
×
8
=
16072
2009 × 8 = 16072
2009 × 8 = 16072
2009
×
9
=
18081
2009 × 9 = 18081
2009 × 9 = 18081
2009
×
10
=
20090
2009 × 10 = 20090
2009 × 10 = 20090
So, the first 10 multiples of 2009 are: 2009, 4018, 6027, 8036, 10045, 12054, 14063, 16072, 18081 and 20090.
There are an endless number of multiples of 2009. You could choose any number to multiply by 2009 to find a new multiple!
Interesting Facts about Multiples
• Every number is considered the smallest multiple of itself.
• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.
• All multiples of even numbers are even.
• The multiples of odd numbers, in sequence, alternate between odd and even numbers.
• You can also find the negative multiples of a number by multiplying by negative numbers.
Practice Finding 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 338 - The first five multiples of 338 are 338, 676, 1014, 1352, 1690
Multiples of 127 - The first five multiples of 127 are 127, 254, 381, 508, 635
Multiples of 516 - The first five multiples of 516 are 516, 1032, 1548, 2064, 2580
Multiples of 186 - The first five multiples of 186 are 186, 372, 558, 744, 930
Multiples of 52 - The first five multiples of 52 are 52, 104, 156, 208, 260