120 LearnersLast updated on May 26th, 2025
Multiples of 173
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 173.
What are the Multiples of 173?
Now, let us learn more about multiples of 173. Multiples of 173 are the numbers you get when you multiply 173 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 173 can be denoted as 173 × 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 173 × 1 will give us 173 as the product. Multiples of 173 will be larger or equal to 173.
List of First 20 Multiples of 173
Multiples of 173 include the products of 173 and an integer. Multiples of 173 are divisible by 173 evenly. The first few multiples of 173 are given below:
| TABLE OF 173 (1-10) | |
|---|---|
|
173 x 1 = 173 |
173 x 6 = 1038 |
|
173 x 2 = 346 |
173 x 7 = 1211 |
|
173 x 3 = 519 |
173 x 8 = 1384 |
|
173 x 4 = 692 |
173 x 9 = 1557 |
|
173 x 5 = 865 |
173 x 10 = 1730 |
| TABLE OF 173 (11-20) | |
|---|---|
|
173 x 11 = 1903 |
173 x 16 = 2768 |
|
173 x 12 = 2076 |
173 x 17 = 2941 |
|
173 x 13 = 2249 |
173 x 18 = 3114 |
|
173 x 14 = 2422 |
173 x 19 = 3287 |
|
173 x 15 = 2595 |
173 x 20 = 3460 |
Now, we know the first few multiples of 173. They are 0, 173, 346, 519, 692, 865, 1038, 1211, 1384, 1557, 1730,...
Operations with Multiples of 173
Understanding the multiples of 173 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 173, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 173:
173, 346, 519, 692, and 865 are the first five multiples of 173. When multiplying 173 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
173 + 346 + 519 + 692 + 865 = 2595
When we add the first 5 multiples of 173, the answer will be 2595.
Subtraction of First 5 Multiples of 173:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 173, 346, 519, 692, and 865 are the first five multiples of 173. So, let us calculate it as given below:
173 - 346 = -173
-173 - 519 = -692
-692 - 692 = -1384
-1384 - 865 = -2249
Hence, the result of subtracting the first 5 multiples of 173 is -2249.
Average of First 5 Multiples of 173:
To calculate the average, we need to identify the sum of the first 5 multiples of 173 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 173 is 2595.
173 + 346 + 519 + 692 + 865 = 2595
Next, divide the sum by 5:
2595 ÷ 5 = 519
519 is the average of the first 5 multiples of 173.
Product of First 5 Multiples of 173:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 173 include: 173, 346, 519, 692, and 865. Now, the product of these numbers is:
173 × 346 × 519 × 692 × 865 = 19,556,994,820
The product of the first 5 multiples of 173 is 19,556,994,820.
Division of First 5 Multiples of 173:
While we perform division, we get to know how many times 173 can fit into each of the given multiples. 173, 346, 519, 692, and 865 are the first 5 multiples of 173.
173 ÷ 173 = 1
346 ÷ 173 = 2
519 ÷ 173 = 3
692 ÷ 173 = 4
865 ÷ 173 = 5
The results of dividing the first 5 multiples of 173 are 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 173
While working with multiples of 173, 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 173. 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 173 refer to the products we get while multiplying 173 with other numbers. For example, multiples of 173 include 0, 173, 346, 519, 692, 865, 1038, 1211, 1384, 1557, 1730….
The factors of 173 are 1 and 173. When 173 is divided by 1 and 173, the remainder will be zero. These are the factors of 173 meaning that these numbers can divide 173 without any remainder.
Multiples of 173 Examples
Problem 1
In a factory, a machine produces 173 widgets every hour. If the machine operates continuously for 5 hours each day, how many widgets will it produce in a week (7 days)?
6,055 widgets
Explanation
The machine produces 173 widgets per hour. To find the total widgets produced in 5 hours each day, we multiply 173 by 5. Then, to find the total for a week, multiply by 7 days.
Widgets produced per hour = 173
Operating hours per day = 5
Days in a week = 7
173 × 5 = 865 (widgets per day)
865 × 7 = 6,055 (widgets per week)
Therefore, the machine will produce 6,055 widgets in a week.
Problem 2
A library is organizing a reading competition where each participant reads 173 pages per week. If three participants each read the first three multiples of 173 pages, how many pages does each participant read?
Participant 1 reads 173 pages, Participant 2 reads 346 pages, and Participant 3 reads 519 pages.
Explanation
The first three multiples of 173 are calculated as follows:
173 × 1 = 173
173 × 2 = 346
173 × 3 = 519
Thus, Participant 1 reads 173 pages, Participant 2 reads 346 pages, and Participant 3 reads 519 pages.
Problem 3
A school has 173 students in each grade. If there are 9 grades in the school, how many students are there in total?
1,557 students
Explanation
To find the total number of students, we multiply the number of students in each grade by the number of grades.
Number of students per grade = 173
Number of grades = 9
173 × 9 = 1,557
Therefore, there are 1,557 students in the school.
Problem 4
An artist is arranging her paintings in a gallery. She hangs them in rows of 173. If she has 6 rows, how many paintings are on display?
1,038 paintings
Explanation
To find the total number of paintings, multiply the number of rows by the number of paintings in each row.
Number of rows = 6
Paintings per row = 173
6 × 173 = 1,038
So, there are 1,038 paintings on display in the gallery.
Problem 5
A farmer is planting trees in a grid formation. In the first row, he plants 173 trees, in the second row, he plants 346 trees, and in the third row, he plants 519 trees. How many trees are planted in total?
1,038 trees
Explanation
To find the total number of trees, add the number of trees in each row.
First row = 173 trees
Second row = 346 trees
Third row = 519 trees
Total trees = 173 + 346 + 519 = 1,038
Therefore, a total of 1,038 trees are planted.
FAQs on Multiples of 173
1.How do you find the multiples of 173?
2.What is the LCM of 7 and 173?
3.Are multiples of 173 finite or infinite?
4.Is there any odd multiple of 173?
5.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 173?
6.Can learning the Multiplication Table influence creativity in solving Multiples of 173 challenges for kids in Vietnam?
7.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 173?
8.What role does brain development play in mastering the Multiplication Table and Multiples of 173 among early learners in Vietnam?
Important Glossaries for Multiples of 173
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 173 include 173, 346, 519, 692, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 173 are the numbers that consist of the number pattern of 173.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 173 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 173 are the divisors of 173.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by every number in a set of numbers. For example, the LCM of 7 and 173 is 1211.
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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.
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