211 LearnersLast updated on May 26th, 2025
Multiples of 7
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 7.
What are the Multiples of 7?
Now, let us learn more about multiples of 7. Multiples of 7 are the numbers you get when you multiply 7 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 7 can be denoted as 7 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 7 × 1 will give us 7 as the product. Multiples of 7 will be larger or equal to 7.
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List of First 20 Multiples of 7
Multiples of 7 include the products of 7 and an integer. Multiples of 7 are divisible by 7 evenly. The first few multiples of 7 are given below:
| TABLE OF 7 (1-10) | |
|---|---|
|
7 x 1 = 7 |
7 x 6 = 42 |
|
7 x 2 = 14 |
7 x 7 = 49 |
|
7 x 3 = 21 |
7 x 8 = 56 |
|
7 x 4 = 28 |
7 x 9 = 63 |
|
7 x 5 = 35 |
7 x 10 = 70 |
| TABLE OF 7 (11-20) | |
|---|---|
|
7 x 11 = 77 |
7 x 16 = 112 |
|
7 x 12 = 84 |
7 x 17 = 119 |
|
7 x 13 = 91 |
7 x 18 = 126 |
|
7 x 14 = 98 |
7 x 19 = 133 |
|
7 x 15 = 105 |
7 x 20 = 140 |
Now, we know the first few multiples of 7. They are 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...
Operations with Multiples of 7
Understanding the multiples of 7 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 7, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 7:
7, 14, 21, 28, and 35 are the first five multiples of 7. When multiplying 7 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
7 + 14 + 21 + 28 + 35 = 105
When we add the first 5 multiples of 7, the answer will be 105.
Subtraction of first 5 Multiples of 7:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 7, 14, 21, 28, and 35 are the first five multiples of 7. So, let us calculate it as given below:
7 - 14 = -7
-7 - 21 = -28
-28 - 28 = -56
-56 - 35 = -91
Hence, the result of subtracting the first 5 multiples of 7 is -91.
Average of first 5 Multiples of 7:
To calculate the average, we need to identify the sum of the first 5 multiples of 7, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 7 is 105.
7 + 14 + 21 + 28 + 35 = 105
Next, divide the sum by 5:
105 ÷ 5 = 21
21 is the average of the first 5 multiples of 7.
Product of First 5 Multiples of 7:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 7 include: 7, 14, 21, 28, and 35. Now, the product of these numbers is:
7 × 14 × 21 × 28 × 35 = 2,903,040
The product of the first 5 multiples of 7 is 2,903,040.
Division of First 5 Multiples of 7:
While we perform division, we get to know how many times 7 can fit into each of the given multiples. 7, 14, 21, 28, and 35 are the first 5 multiples of 7.
7 ÷ 7 = 1
14 ÷ 7 = 2
21 ÷ 7 = 3
28 ÷ 7 = 4
35 ÷ 7 = 5
The results of dividing the first 5 multiples of 7 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 7
While working with multiples of 7, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 7. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 7 refer to the products we get while multiplying 7 with other numbers. For example, multiples of 7 include 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70….
The factors of 7 are 1 and 7. When 7 is divided by 1 and 7, the remainder will be zero. These are the factors of 7, meaning that these numbers can divide 7 without any remainder.
Factors of 7:
7 ÷ 1 = 7
7 ÷ 7 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 7 include 7, 14, 21, 28, 35, 42, …..70, 77,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 7, the result will still be a multiple of 7. For example, children may write,
7 + 14 = 22, (which is wrong and the correct answer is 21)
This is incorrect because 22 is not a multiple of 7. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 7.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 7, and any other number, is zero, it has a valid value. Remember this:
7 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 7 + 7 + 7 + 7 + 7. Instead of adding too many values, use multiplication. Calculate 7 × n for the nth multiple.
For example, instead of 7 + 7 + 7 + 7 + 7, calculate it as given below: 7 × 5 = 35
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Multiples of 7 Examples
Problem 1
Anna is organizing a charity bake sale. She plans to bake 7 cupcakes each day. If she continues this routine for 5 weeks, how many cupcakes will Anna have baked by the end of the fifth week?
245 cupcakes
Explanation
Anna bakes 7 cupcakes each day. To find the total number of cupcakes baked after 5 weeks, we need to calculate the total number of days in 5 weeks and multiply by 7.
Days in 5 weeks = 5 × 7 = 35 days
Cupcakes baked each day = 7
Total cupcakes = 35 × 7 = 245
Anna will have baked 245 cupcakes by the end of the fifth week.
Problem 2
In a park, there are rows of trees planted in multiples of 7. The first row has 7 trees, the second has 14 trees, and the third row has 21 trees. How many trees are there in total in the first three rows?
42 trees
Explanation
The first row has 7 trees, the second row has 14 trees, and the third row has 21 trees. So, the total number of trees across the three rows is:
7 + 14 + 21 = 42
Therefore, there are 42 trees in total.
Problem 3
A farmer is packing eggs into cartons. Each carton holds 7 eggs. If she has 8 cartons, how many eggs can she pack in total?
56 eggs
Explanation
Each carton holds 7 eggs. To find the total number of eggs, multiply the number of cartons by the number of eggs per carton.
Number of cartons = 8
Eggs in each carton = 7
Total eggs = 8 × 7 = 56
Therefore, she can pack 56 eggs in total.
Problem 4
A group of friends is collecting stamps. They decide to collect stamps in multiples of 7. In the first month, they collect 7 stamps, in the second month they collect 14 stamps, and in the third month, they collect 21 stamps. How many stamps have they collected by the end of the third month?
42 stamps
Explanation
The friends collect stamps as follows: 7 in the first month, 14 in the second month, and 21 in the third month. Thus, the total number of stamps collected is:
7 + 14 + 21 = 42
By the end of the third month, they have collected 42 stamps.
Problem 5
David is arranging chairs for a conference. Each row has 7 chairs. If there are 6 rows, how many chairs are there in total?
42 chairs
Explanation
To find the total number of chairs, multiply the number of rows by the number of chairs per row.
Number of rows = 6
Chairs in each row = 7
Total chairs = 6 × 7 = 42
Therefore, there are 42 chairs in total.
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FAQs on Multiples of 7
1.How do you find the multiples of 7?
2.What is the LCM of 7 and 8?
3.What are the real-life applications of Multiples of 7?
4.Are multiples of 7 finite or infinite?
5.Is there any odd multiples of 7?
6.How can poems help children in United Kingdom memorize the Multiplication Table and Multiples of 7 ?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 7 challenges for kids in United Kingdom?
8.How do language and cultural differences in United Kingdom affect the way children learn the Multiplication Table and Multiples of 7 ?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 7 among early learners in United Kingdom?
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Important Glossaries for Multiples of 7
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 7 include 7, 14, 21, 28, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 7 are the numbers that consist of the number pattern of 7.
- Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. Some multiples of 7 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 7 are the divisors of 7.
- Odd number: An odd number is any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 7 are odd numbers.
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Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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