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.

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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.

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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 × 17
7 × 214
7 × 321
7 × 428
7 × 535
7 × 642
7 × 749
7 × 856
7 × 963
7 × 1070
7 × 1177
7 × 1284
7 × 1391
7 × 1498
7 × 15105
7 × 16112
7 × 17119
7 × 18126
7 × 19133
7 × 20140

To understand the concept of finding multiples, let us take a few more examples.


Important Notes:


Every number is the smallest multiple of itself.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.

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 714 ÷ 7 leaves a remainder 2 and cannot be sorted into groups of 7But 35 ÷ 7 = 5 and leaves a remainder 0 so it can be grouped into 5 groups of 7Apples 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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Interactive Questions

 


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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.

See more: 1 Square Yard To Square Meter S, Convert Yard To Square Meter

5. What is a multiple of 7 and a factor of 7?

7 is the multiple of 7 and also a factor of 7.