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Multiples of 7
A multiple of 7 is a number that can be divided by 7 leaves the remainder zero and Multiples of 7 are the product of 7 and natural numbers. 7 is a unique number in math, However, in this lesson, you will be introduced how to calculate the multiples of 7 using skip counting method. Lets learn more about multiples of 7 in the tabular form with examples.
 First five multiples of 7: 7, 14, 21, 28, 35.
 Prime Factorization of 7: 1 × 7
1.  What are the Multiples of 7? 
2.  First 20 Multiples of 7 
3.  Important Notes 
4.  FAQs on Multiples of 7 
What are the Multiples of 7?
Let us recall a little about multiplication tables. Multiples of 7 are the numbers obtained by multiplying 7 with other numbers. The first five multiples of 7 are 7, 14, 21, 28, and 35.
First 20 Multiples of 7
First 20 multiples of 7 are derived by multiplying 7 with 120 natural numbers. The obtained resultant is the multiple of 7. Let us look at the list the first 20 multiples of 7:
Multiplication  Multiples of 7 

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 
To understand the concept of finding multiples, let us take a few more examples.
 Multiples of 20  The first five multiples of 20 are 20, 40, 60, 80, 100
 Multiples of 4  The first five multiples of 4 are 4, 8, 12, 16, 20
 Multiples of 5  The first five multiples of 5 are 5, 10, 15, 20, 25
 Multiples of 3  The first five multiples of 3 are 3, 6, 9, 12, 15
 Multiples of 6  The first five multiples of 6 are 6, 12, 18, 24, 30
Important Notes:
 Every number is the smallest multiple of itself.
 Number 7 has infinite multiples as it can be multiplied with any whole number and we have infinite whole numbers.
 A multiple can be the common multiple of two or more numbers. Example: 20 is the common multiple of 2, 4, 5, 10,and 20.
 All the multiples of 7are alternatively odd and even numbers.
Solved Examples

Example 1 Sebastian has 2 baskets of apples. Basket 1 contains 16 apples and basket 2 contains 35 apples. Can he sort the apples in each basket into groups of 7 using multiples of 7?
Solution
If 7 divides the number of apples exactly, they can be sorted into groups of 7
14 ÷ 7 leaves a remainder 2 and cannot be sorted into groups of 7
But 35 ÷ 7 = 5 and leaves a remainder 0 so it can be grouped into 5 groups of 7
Apples in basket 1 cannot be sorted into groups of 7 while those in basket 2 can be. 
Example 2 Audrey has to determine how many weeks are there in a year?
Solution
Audrey knows there are 365 days in a year.
One week has 7 days.
To determine how many weeks are there in a year, Audrey will use the following steps:
365 ÷ 7, quotient =52 and remainder = 1.
There are approximately 52 weeks in a year.
Audrey determined that there are 52 weeks in a year.
FAQs on multiples of 7
1. What are 5 multiples of 7?
The first 5 multiples of 7 are 7, 14, 21, 28, and 35.
2. What are common multiples of 7 and 11?
The products which we see in multiplication tables of both 7 and 11 are the common multiples of 7 and 11 For example 77, 154, 231, 308, 385, and so on.
3. What is the least common multiple of 7 and 10?
The least common multiple of 7 and 10 is 70.
4. How do you find multiples of 7?
By multiplying 7 to natural numbers we can get its multiples of 7.
5. What is a multiple of 7 and a factor of 7?
7 is the multiple of 7 and also a factor of 7.
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