Last updated on May 26th, 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 14.
Now, let us learn more about multiples of 14. Multiples of 14 are the numbers you get when you multiply 14 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 14 can be denoted as 14 × 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 14 × 1 will give us 14 as the product. Multiples of 14 will be larger or equal to 14.
Multiples of 14 include the products of 14 and an integer. Multiples of 14 are divisible by 14 evenly. The first few multiples of 14 are given below:
TABLE OF 14 (1-10) | |
---|---|
14 x 1 = 14 |
14 x 6 = 84 |
14 x 2 = 28 |
14 x 7 = 98 |
14 x 3 = 42 |
14 x 8 = 112 |
14 x 4 = 56 |
14 x 9 = 126 |
14 x 5 = 70 |
14 x 10 = 140 |
TABLE OF 14 (11-20) | |
---|---|
14 x 11 = 154 |
14 x 16 = 224 |
14 x 12 = 168 |
14 x 17 = 238 |
14 x 13 = 182 |
14 x 18 = 252 |
14 x 14 = 196 |
14 x 19 = 266 |
14 x 15 = 210 |
14 x 20 = 280 |
Now, we know the first few multiples of 14. They are, 0, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140,...
Understanding the multiples of 14 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 14, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
14, 28, 42, 56, and 70 are the first five multiples of 14. When multiplying 14 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
14 + 28 + 42 + 56 + 70 = 210
When we add the first 5 multiples of 14, the answer will be 210.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 14, 28, 42, 56, and 70 are the first five multiples of 14. So, let us calculate it as given below:
14 - 28 = -14
-14 - 42 = -56
-56 - 56 = -112
-112 - 70 = -182
Hence, the result of subtracting the first 5 multiples of 14 is -182.
To calculate the average, we need to identify the sum of the first 5 multiples of 14, 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 14 is 210.
14 + 28 + 42 + 56 + 70 = 210
Next, divide the sum by 5:
210 ÷ 5 = 42
42 is the average of the first 5 multiples of 14.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 14 include: 14, 28, 42, 56, and 70. Now, the product of these numbers is:
14 × 28 × 42 × 56 × 70 = 82,684,320
The product of the first 5 multiples of 14 is 82,684,320.
While we perform division, we get to know how many times 14 can fit into each of the given multiples. 14, 28, 42, 56, and 70 are the first 5 multiples of 14.
14 ÷ 14 = 1
28 ÷ 14 = 2
42 ÷ 14 = 3
56 ÷ 14 = 4
70 ÷ 14 = 5
The results of dividing the first 5 multiples of 14 are: 1, 2, 3, 4, and 5.
While working with Multiples of 14, 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:
Lily is organizing a set of paintings for an art exhibition. Each row in the gallery holds 14 paintings. If she organizes 5 rows of paintings, how many paintings are displayed in total?
70 paintings
To find the total number of paintings, multiply the number of paintings per row by the number of rows.
Number of paintings per row = 14
Number of rows = 5
14 × 5 = 70
Therefore, there are 70 paintings displayed in total.
A gardener is planting fruit trees in a new orchard. He decides to plant them in sets of the first three multiples of 14. How many fruit trees does he plant in total?
84 trees
The first three multiples of 14 are 14, 28, and 42. Add these to find the total number of trees.
14 × 1 = 14
14 × 2 = 28
14 × 3 = 42
Total trees = 14 + 28 + 42 = 84
Hence, the gardener plants a total of 84 fruit trees.
In a fitness class, there are 14 exercise stations. Each station is designed for 14 people. How many people can participate in the class at once?
196 people
Multiply the number of exercise stations by the number of people each station can accommodate.
Number of exercise stations = 14
Number of people per station = 14
14 × 14 = 196
Therefore, a total of 196 people can participate in the class at once.
A toy company packs toy cars in boxes. Each box contains 7 shelves, and each shelf holds 14 toy cars. How many toy cars are there in one box?
98 toy cars
To find the total number of toy cars in one box, multiply the number of shelves by the number of cars per shelf.
Number of shelves = 7
Number of toy cars per shelf = 14
7 × 14 = 98
So, there are 98 toy cars in one box.
Sara is arranging her photo albums. The first album has 14 photos, the second has 28, and the third has 42 photos. How many photos are there in all three albums?
84 photos
Add the number of photos in each album to find the total.
First album = 14 photos
Second album = 28 photos
Third album = 42 photos
Total photos = 14 + 28 + 42 = 84
Therefore, there are a total of 84 photos in all three albums.
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