115 LearnersLast updated on May 26th, 2025
Multiples of 170
In math, multiples are the products we get when 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 170.
What are the Multiples of 170?
Now, let us learn more about multiples of 170. Multiples of 170 are the numbers you get when you multiply 170 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 170 can be denoted as 170 × 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 170 × 1 will give us 170 as the product. Multiples of 170 will be larger or equal to 170.
List of First 20 Multiples of 170
Multiples of 170 include the products of 170 and an integer. Multiples of 170 are divisible by 170 evenly. The first few multiples of 170 are given below:
| TABLE OF 170 (1-10) | |
|---|---|
|
170 x 1 = 170 |
170 x 6 = 1020 |
|
170 x 2 = 340 |
170 x 7 = 1190 |
|
170 x 3 = 510 |
170 x 8 = 1360 |
|
170 x 4 = 680 |
170 x 9 = 1530 |
|
170 x 5 = 850 |
170 x 10 = 1700 |
| TABLE OF 170 (11-20) | |
|---|---|
|
170 x 11 = 1870 |
170 x 16 = 2720 |
|
170 x 12 = 2040 |
170 x 17 = 2890 |
|
170 x 13 = 2210 |
170 x 18 = 3060 |
|
170 x 14 = 2380 |
170 x 19 = 3230 |
|
170 x 15 = 2550 |
170 x 20 = 3400 |
Now, we know the first few multiples of 170. They are 0, 170, 340, 510, 680, 850, 1020,...
Operations with Multiples of 170
Understanding the multiples of 170 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 170, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 170:
170, 340, 510, 680, and 850 are the first five multiples of 170. When multiplying 170 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
170 + 340 + 510 + 680 + 850 = 2550
When we add the first 5 multiples of 170, the answer will be 2550.
Subtraction of first 5 Multiples of 170:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 170, 340, 510, 680, and 850 are the first five multiples of 170. So, let us calculate it as given below:
170 - 340 = -170
-170 - 510 = -680
-680 - 680 = -1360
-1360 - 850 = -2210
Hence, the result of subtracting the first 5 multiples of 170 is -2210.
Average of first 5 Multiples of 170:
To calculate the average, we need to identify the sum of the first 5 multiples of 170, 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 170 is 2550.
170 + 340 + 510 + 680 + 850 = 2550
Next, divide the sum by 5:
2550 ÷ 5 = 510
510 is the average of the first 5 multiples of 170.
Product of First 5 Multiples of 170:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 170 include: 170, 340, 510, 680, and 850. Now, the product of these numbers is:
170 × 340 × 510 × 680 × 850 = 16,105,968,000,000
The product of the first 5 multiples of 170 is 16,105,968,000,000.
Division of First 5 Multiples of 170:
While we perform division, we get to know how many times 170 can fit into each of the given multiples. 170, 340, 510, 680, and 850 are the first 5 multiples of 170.
170 ÷ 170 = 1
340 ÷ 170 = 2
510 ÷ 170 = 3
680 ÷ 170 = 4
850 ÷ 170 = 5
The results of dividing the first 5 multiples of 170 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 170
While working with multiples of 170, 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 170. 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 170 refer to the products we get while multiplying 170 with other numbers. For example, multiples of 170 include 0, 170, 340, 510, 680, 850, 1020, 1190, 1360, 1530, 1700,….
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170. When 170 is divided by these numbers, the remainder will be zero. These are the factors of 170, meaning that these numbers can divide 170 without any remainder.
Factors of 170:
170 ÷ 1 = 170
170 ÷ 2 = 85
170 ÷ 5 = 34
170 ÷ 10 = 17
170 ÷ 17 = 10
170 ÷ 34 = 5
170 ÷ 85 = 2
170 ÷ 170 = 1
Multiples of 170 Examples
Problem 1
A printing company produces posters in batches, with each batch containing 170 posters. If they produce 3 batches every week, how many posters will they have produced after 5 weeks?
2550 posters
Explanation
Each week, they produce 3 batches of 170 posters. To find the total number of posters after 5 weeks, multiply the number of batches per week by the number of weeks, and then by the number of posters per batch.
Posters per batch = 170
Batches per week = 3
Number of weeks = 5
170 × 3 × 5 = 2550
Therefore, they will have produced 2550 posters after 5 weeks.
Problem 2
A farmer plants crops in sections of his field, with each section covering 170 square meters. If he plants crops in the sections corresponding to the first four multiples of 170, how much area will be covered by the crops?
1360 square meters
Explanation
The first four multiples of 170 are 170, 340, 510, and 680. Sum these to find the total area covered.
170 × 1 = 170
170 × 2 = 340
170 × 3 = 510
170 × 4 = 680
Total area = 170 + 340 + 510 + 680 = 1360
Therefore, the crops will cover 1360 square meters.
Problem 3
In a conference, there are 170 chairs arranged in each row. If there are 8 rows, how many chairs are in total?
1360 chairs
Explanation
To find the total number of chairs, multiply the number of chairs in each row by the number of rows.
Chairs per row = 170
Number of rows = 8
170 × 8 = 1360
Therefore, there are 1360 chairs in total.
Problem 4
A music store sells albums in packs, with each pack containing 170 albums. If the store sells 7 packs, how many albums have they sold in total?
1190 albums
Explanation
To find the total number of albums sold, multiply the number of packs by the number of albums in each pack.
Albums per pack = 170
Number of packs = 7
170 × 7 = 1190
Therefore, they have sold 1190 albums in total.
Problem 5
A library organizes its collection into sections of 170 books each. The first section has 170 books, the second section has 340 books, and the third section has 510 books. How many books are there in all three sections combined?
1020 books
Explanation
The first section has 170 books, the second has 340 books, and the third has 510 books. Add these to find the total number of books.
170 + 340 + 510 = 1020
Therefore, there are 1020 books in total across all three sections.
FAQs on Multiples of 170
##How do you find the multiples of 170?
Solution: To find out the multiples of 170, we need to multiply 170 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 170. Multiples of 170 will be larger or equal to 170.
170 × 1 = 170
170 × 2 = 340
170 × 3 = 510
170 × 4 = 680
170 × 5 = 850
FAQs on Multiples of 170
1.What is the LCM of 170 and 85?
2.How do you find the multiples of 170?
3.What is the LCM of 170 and 85?
4.What are the real-life applications of Multiples of 170?
5.Are multiples of 170 finite or infinite?
6.Is there any odd multiple of 170?
7.How can poems help children in United States memorize the Multiplication Table and Multiples of 170?
8.Can learning the Multiplication Table influence creativity in solving Multiples of 170 challenges for kids in United States?
9.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 170?
10.What role does brain development play in mastering the Multiplication Table and Multiples of 170 among early learners in United States?
Important Glossaries for Multiples of 170
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 170 include 170, 340, 510, 680, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 170 are the numbers that consist of the number pattern of 170.
- 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. All multiples of 170 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 5, 10, 17, 34, 85, and 170 are the divisors of 170.
- Least Common Multiple (LCM): The smallest common multiple of two or more numbers. For instance, the LCM of 170 and 85 is 170.
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Seyed Ali Fathima S
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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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