Multiples of 3

What are multiples of 3?

Multiples of 3 are numbers that you get when you multiply 3 by whole numbers. These can be written as 3, 6, 9, and so on.

How to calculate multiples

To find the multiples of 3, multiply it by any whole number using this formula:

3 × n = multiple

Multiples of 3 Table (First 50)

n3 × nmultiples
13×13
23×26
33×39
43×412
53×515
63×618
73×721
83×824
93×927
103×1030
113×1133
123×1236
133×1339
143×1442
153×1545
163×1648
173×1751
183×1854
193×1957
203×2060
213×2163
223×2266
233×2369
243×2472
253×2575
263×2678
273×2781
283×2884
293×2987
303×3090
313×3193
323×3296
333×3399
343×34102
353×35105
363×36108
373×37111
383×38114
393×39117
403×40120
413×41123
423×42126
433×43129
443×44132
453×45135
463×46138
473×47141
483×48144
493×49147
503×50150

Examples and Sample Calculations

Here are some common calculations for the multiples of 3, including practical examples of where you might see these values:

Interactive Calculation

3 x 1 = 3

Visualizing Multiples of 3

Here's a number line that shows the first few multiples of 3:

Multiples of 3 Number Line

Further Examples

Multiples of 3 calculations with remainders

Here are some examples of numbers and how they relate to multiples of 3, including calculations with remainders:

Number Reason Remainder
3 3 is a multiple of 3 because 3 × 1 = 3 0
6 6 is a multiple of 3 because 3 × 2 = 6 0
9 9 is a multiple of 3 because 3 × 3 = 9 0
12 12 is a multiple of 3 because 3 × 4 = 12 0
15 15 is a multiple of 3 because 3 × 5 = 15 0
18 18 is a multiple of 3 because 3 × 6 = 18 0
21 21 is a multiple of 3 because 3 × 7 = 21 0
24 24 is a multiple of 3 because 3 × 8 = 24 0
27 27 is a multiple of 3 because 3 × 9 = 27 0
30 30 is a multiple of 3 because 3 × 10 = 30 0
33 33 is a multiple of 3 because 3 × 11 = 33 0
36 36 is a multiple of 3 because 3 × 12 = 36 0
39 39 is a multiple of 3 because 3 × 13 = 39 0
42 42 is a multiple of 3 because 3 × 14 = 42 0
45 45 is a multiple of 3 because 3 × 15 = 45 0
48 48 is a multiple of 3 because 3 × 16 = 48 0
51 51 is a multiple of 3 because 3 × 17 = 51 0
54 54 is a multiple of 3 because 3 × 18 = 54 0
57 57 is a multiple of 3 because 3 × 19 = 57 0
60 60 is a multiple of 3 because 3 × 20 = 60 0

Read More About Multiples of 3

Table of 3

Important Notes:

  • Definition: Multiples of 3 are numbers that can be expressed as 3 times any integer (e.g., 3, 6, 9).
  • Sequence: The sequence of multiples of 3 begins with 3, 6, 9, and continues infinitely by adding 3 repeatedly.
  • Divisibility: Any multiple of 3 is divisible by both 3 and its factors.
  • Calculation: To find the nth multiple of 3, multiply 3 by n (e.g., the 5th multiple of 3 is 3 × 5 = 15).
  • Patterns: Multiples of 3 have certain patterns in their digits. The last digit of a multiple of 3 is usually 0 or 3.

Practical Examples of Multiples of 3:

  • Distance: The length of 960 meters can be seen as a multiple of 3 because 3 × 20 = 960.
  • Time: 720 minutes (or 12 hours) is a multiple of 3 because 3 × 15 = 720.
  • Weight: 240 pounds is a multiple of 3 because 3 × 5 = 240.

FAQs on Multiples of 3:

  • What is a multiple of 3? A multiple of 3 is any number that can be expressed as 3 times an integer. For example, 3, 6, and 9 are multiples of 3.
  • How do you find the multiples of 3? To find multiples of 3, multiply 3 by any whole number (integer). For example:
     3 × 1 = 3
     3 × 2 = 6
     3 × 3 = 9
  • Is 9 a multiple of 3? Yes, 9 is a multiple of 3 because 3 × 3 = 9.