Multiples of 7

What are multiples of 7?

Multiples of 7 are numbers that you get when you multiply 7 by whole numbers. These can be written as 7, 14, 21, and so on.

How to calculate multiples

To find the multiples of 7, multiply it by any whole number using this formula:

7 × n = multiple

Multiples of 7 Table (First 50)

n7 × n
17
214
321
428
535
642
749
856
963
1070
1177
1284
1391
1498
15105
16112
17119
18126
19133
20140
21147
22154
23161
24168
25175
26182
27189
28196
29203
30210
31217
32224
33231
34238
35245
36252
37259
38266
39273
40280
41287
42294
43301
44308
45315
46322
47329
48336
49343
50350

Examples and Sample Calculations

Here are some common calculations for the multiples of 7, including practical examples of where you might see these values:

Interactive Calculation

7 x 1 = 7

Visualizing Multiples of 7

Here's a number line that shows the first few multiples of 7:

Multiples of 7 Number Line

Further Examples

Multiples of 7 calculations with remainders

Here are some examples of numbers and how they relate to multiples of 7, including calculations with remainders:

Number Reason Remainder
7 7 is a multiple of 7 because 7 × 1 = 7 0
14 14 is a multiple of 7 because 7 × 2 = 14 0
21 21 is a multiple of 7 because 7 × 3 = 21 0
28 28 is a multiple of 7 because 7 × 4 = 28 0
35 35 is a multiple of 7 because 7 × 5 = 35 0
42 42 is a multiple of 7 because 7 × 6 = 42 0
49 49 is a multiple of 7 because 7 × 7 = 49 0
56 56 is a multiple of 7 because 7 × 8 = 56 0
63 63 is a multiple of 7 because 7 × 9 = 63 0
70 70 is a multiple of 7 because 7 × 10 = 70 0
77 77 is a multiple of 7 because 7 × 11 = 77 0
84 84 is a multiple of 7 because 7 × 12 = 84 0
91 91 is a multiple of 7 because 7 × 13 = 91 0
98 98 is a multiple of 7 because 7 × 14 = 98 0
105 105 is a multiple of 7 because 7 × 15 = 105 0
112 112 is a multiple of 7 because 7 × 16 = 112 0
119 119 is a multiple of 7 because 7 × 17 = 119 0
126 126 is a multiple of 7 because 7 × 18 = 126 0
133 133 is a multiple of 7 because 7 × 19 = 133 0
140 140 is a multiple of 7 because 7 × 20 = 140 0

Read More About Multiples of 7

Table of 7

Important Notes:

  • Definition: Multiples of 7 are numbers that can be expressed as 7 times any integer (e.g., 7, 14, 21).
  • Sequence: The sequence of multiples of 7 begins with 7, 14, 21, and continues infinitely by adding 7 repeatedly.
  • Divisibility: Any multiple of 7 is divisible by both 7 and its factors.
  • Calculation: To find the nth multiple of 7, multiply 7 by n (e.g., the 5th multiple of 7 is 7 × 5 = 35).
  • Patterns: Multiples of 7 have certain patterns in their digits. The last digit of a multiple of 7 is usually 0 or 7.

Practical Examples of Multiples of 7:

  • Distance: The length of 960 meters can be seen as a multiple of 7 because 7 × 20 = 960.
  • Time: 720 minutes (or 12 hours) is a multiple of 7 because 7 × 15 = 720.
  • Weight: 240 pounds is a multiple of 7 because 7 × 5 = 240.

FAQs on Multiples of 7:

  • What is a multiple of 7? A multiple of 7 is any number that can be expressed as 7 times an integer. For example, 7, 14, and 21 are multiples of 7.
  • How do you find the multiples of 7? To find multiples of 7, multiply 7 by any whole number (integer). For example:
     7 × 1 = 7
     7 × 2 = 14
     7 × 3 = 21
  • Is 21 a multiple of 7? Yes, 21 is a multiple of 7 because 7 × 3 = 21.