Multiples of 7

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

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

Q: How do we find multiples of 7?

Ans: Multiplying 7 with natural numbers we get the multiples of 7.

Q. What are the first 5 multiples of 7?

Ans: The first 5 multiples of 7 are 7, 14, 21, 28, and 35.

Q. What are the first 10 multiples of 7?

Ans: The first 10 multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, and 70

Q. Are factors of 7 and multiples of 7 the same?

Ans: Yes, the factors of 7 and multiples of 7 are the same.

Q. What is the least common multiple of 5 and 7

Ans: The least common multiple of 5 and 7 is 35.