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105 LearnersLast updated on March 29th, 2025
Multiples of 17
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 17.
What are the Multiples of 17?
Now, let us learn more about multiples of 17. Multiples of 17 are the numbers you get when you multiply 17 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 17 can be denoted as 17 × 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 17 × 1 will give us 17 as the product. Multiples of 17 will be larger or equal to 17.
List of First 20 Multiples of 17
Multiples of 17 include the products of 17 and an integer. Multiples of 17 are divisible by 17 evenly. The first few multiples of 17 are given below:
| TABLE OF 17 (1-10) | |
|---|---|
|
17 x 1 = 17 |
17 x 6 = 102 |
|
17 x 2 = 34 |
17 x 7 = 119 |
|
17 x 3 = 51 |
17 x 8 = 136 |
|
17 x 4 = 68 |
17 x 9 = 153 |
|
17 x 5 = 85 |
17 x 10 = 170 |
| TABLE OF 17 (11-20) | |
|---|---|
|
17 x 11 = 187 |
17 x 16 = 272 |
|
17 x 12 = 204 |
17 x 17 = 289 |
|
17 x 13 = 221 |
17 x 18 = 306 |
|
17 x 14 = 238 |
17 x 19 = 323 |
|
17 x 15 = 255 |
17 x 20 = 340 |
Operations with Multiples of 17
Understanding the multiples of 17 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 17, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 17:
17, 34, 51, 68, and 85 are the first five multiples of 17. When multiplying 17 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
17 + 34 + 51 + 68 + 85 = 255
When we add the first 5 multiples of 17 the answer will be 255.
Subtraction of First 5 Multiples of 17:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 17, 34, 51, 68, and 85 are the first five multiples of 17. So, let us calculate it as given below:
17 - 34 = -17
-17 - 51 = -68
-68 - 68 = -136
-136 - 85 = -221
Hence, the result of subtracting the first 5 multiples of 17 is -221.
Average of First 5 Multiples of 17:
To calculate the average, we need to identify the sum of the first 5 multiples of 17, 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 17 is 255.
17 + 34 + 51 + 68 + 85 = 255
Next, divide the sum by 5:
255 ÷ 5 = 51
51 is the average of the first 5 multiples of 17.
Product of First 5 Multiples of 17:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 17 include: 17, 34, 51, 68, and 85. Now, the product of these numbers is:
17 × 34 × 51 × 68 × 85 = 16,376,340
The product of the first 5 multiples of 17 is 16,376,340.
Division of First 5 Multiples of 17:
While we perform division, we get to know how many times 17 can fit into each of the given multiples. 17, 34, 51, 68, and 85 are the first 5 multiples of 17.
17 ÷ 17 = 1
34 ÷ 17 = 2
51 ÷ 17 = 3
68 ÷ 17 = 4
85 ÷ 17 = 5
The results of dividing the first 5 multiples of 17 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 17
While working with multiples of 17, 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 17. 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 17 refer to the products we get while multiplying 17 with other numbers. For example, multiples of 17 include 0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170,…
The factors of 17 are 1 and 17. When 17 is divided by 1 and 17, the remainder will be zero. These are the factors of 17 meaning that these numbers can divide 17 without any remainder.
Factors of 17:
17 ÷ 1 = 17
17 ÷ 17 = 1
Multiples of 17 Examples
Problem 1
Aisha is organizing a charity run. For every participant that joins, she raises 17 dollars for the cause. If she manages to get 6 friends to join her in the charity run, how much money will she raise in total?
102 dollars
Explanation
Aisha raises 17 dollars per participant. With 6 participants, the total money raised is calculated by multiplying the number of participants by 17.
Participants = 6
Money per participant = 17
17 × 6 = 102
Aisha will raise 102 dollars in total.
Problem 2
Raj is setting up chairs for a conference. Each row can hold 17 chairs. If he sets up 5 rows, how many chairs does he have in total?
85 chairs
Explanation
To find the total number of chairs, multiply the number of chairs per row by the number of rows.
Chairs per row = 17
Number of rows = 5
17 × 5 = 85
Raj sets up a total of 85 chairs.
Problem 3
In a video game, each level completed gives the player 17 experience points. If a player finishes 9 levels, how many experience points will they earn in total?
153 experience points
Explanation
To find the total experience points, multiply the experience points per level by the number of levels completed.
Experience points per level = 17
Number of levels = 9
17 × 9 = 153
The player earns 153 experience points.
Problem 4
Amara is creating gift baskets for a party. Each basket contains 17 candies. If she makes 4 baskets, how many candies does she need in total?
68 candies
Explanation
To determine the total number of candies, multiply the number of candies per basket by the number of baskets.
Candies per basket = 17
Number of baskets = 4
17 × 4 = 68
Amara needs 68 candies in total.
Problem 5
Leo is lining up his toy cars in groups of 17. If he lines up 3 groups, how many toy cars does he have?
51 toy cars
Explanation
To find the total number of toy cars, multiply the number of cars per group by the number of groups.
Cars per group = 17
Number of groups = 3
17 × 3 = 51
Leo has 51 toy cars in total.
FAQs on Multiples of 17
1.How do you find the multiples of 17?
2.What is the LCM of 7 and 17?
3.What are the real-life applications of Multiples of 17?
4.Are multiples of 17 finite or infinite?
5.Is there any odd multiples of 17?
Important Glossaries for Multiples of 17
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 17 include 17, 34, 51, 68, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 17 are the numbers that consist of the number pattern of 17.
- Odd number: An odd number refers to any number that is not divisible evenly by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 17 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 17 are the divisors of 17.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 7 and 17 is 119.
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Seyed Ali Fathima S
About the Author
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.
Fun Fact
: She has songs for each table which helps her to remember the tables
