Multiples of 1971
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 1971, you could start at 1971, and keep adding 1971 over and over: 1971, 3942, 5913, 7884, and so on. Each of these numbers is a multiple of 1971. 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 1971, you could just multiply 1971 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 1971?
So, what are the multiples of 1971? Let’s write it out using the multiplication method:
1971
×
1
=
1971
1971 × 1 = 1971
1971 × 1 = 1971
1971
×
2
=
3942
1971 × 2 = 3942
1971 × 2 = 3942
1971
×
3
=
5913
1971 × 3 = 5913
1971 × 3 = 5913
1971
×
4
=
7884
1971 × 4 = 7884
1971 × 4 = 7884
1971
×
5
=
9855
1971 × 5 = 9855
1971 × 5 = 9855
1971
×
6
=
11826
1971 × 6 = 11826
1971 × 6 = 11826
1971
×
7
=
13797
1971 × 7 = 13797
1971 × 7 = 13797
1971
×
8
=
15768
1971 × 8 = 15768
1971 × 8 = 15768
1971
×
9
=
17739
1971 × 9 = 17739
1971 × 9 = 17739
1971
×
10
=
19710
1971 × 10 = 19710
1971 × 10 = 19710
So, the first 10 multiples of 1971 are: 1971, 3942, 5913, 7884, 9855, 11826, 13797, 15768, 17739 and 19710.
There are an endless number of multiples of 1971. You could choose any number to multiply by 1971 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 367 - The first five multiples of 367 are 367, 734, 1101, 1468, 1835
Multiples of 686 - The first five multiples of 686 are 686, 1372, 2058, 2744, 3430
Multiples of 586 - The first five multiples of 586 are 586, 1172, 1758, 2344, 2930
Multiples of 458 - The first five multiples of 458 are 458, 916, 1374, 1832, 2290
Multiples of 471 - The first five multiples of 471 are 471, 942, 1413, 1884, 2355