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Last updated on March 28th, 2025
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.
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.
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,...
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.
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.
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.
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.
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.
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.
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?
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?
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?
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?
David is arranging chairs for a conference. Each row has 7 chairs. If there are 6 rows, how many chairs are there in total?
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.
: She has songs for each table which helps her to remember the tables