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103 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
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?
Explanation
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?
Explanation
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?
Explanation
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?
Explanation
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?
Explanation
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
