The multiples of 7 are obtained by multiplying integers with 7. In this section, we will learn about the multiples of 7. For more details about multiples, see our page “Multiples of a Number“.
Also Read: Factors of 7
Table of Contents
What are Multiples of 7?
A number is called a multiple of 7 if it is completely divisible by 7 with the remainder zero.
For example, 7 divides 14 completely, so by the definition 14 is a multiple of 7. Similarly, 7, 14, 21, 28, 70, 700, etc. are all examples of multiples of 7 as they are completely divisible 7.
Remark: From the above definition, it is clear that any multiple of 7 can be written as 7n for some integer n. So the set of multiples is given by
{7n: n is an integer}
First 10 Multiples of 7
The first 10 multiples of 7 are as follows:
| 7×1=7 | 7×2=14 |
| 7×3=21 | 7×4=28 |
| 7×5=35 | 7×6=42 |
| 7×7=49 | 7×8=56 |
| 7×9=63 | 7×10=70 |
So the first 10 multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, and 70.
Question: What are the first ten multiples of 7?
Video Solution:
First 20 Multiples of 7
The first 20 multiples of 7 are given below:
| 7×1=7 | 7×2=14 |
| 7×3=21 | 7×4=28 |
| 7×5=35 | 7×6=42 |
| 7×7=49 | 7×8=56 |
| 7×9=63 | 7×10=70 |
| 7×11=77 | 7×12=84 |
| 7×13=91 | 7×14=98 |
| 7×15=105 | 7×16=112 |
| 7×17=119 | 7×18=126 |
| 7×19=133 | 7×20=140 |
So the first 20 multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, and 140.
FAQs on Multiples of 7
Ans: Multiplying 7 with natural numbers we get the multiples of 7.
Ans: The first 5 multiples of 7 are 7, 14, 21, 28, and 35.
Ans: The first 10 multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, and 70
Ans: Yes, the factors of 7 and multiples of 7 are the same.
Ans: The least common multiple of 5 and 7 is 35.
This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.