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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.

multiples of 7

First 20 Multiples of 7

First 20 multiples of 7 are derived by multiplying 7 with 1-20 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.

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.

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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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