107 LearnersLast updated on May 26th, 2025
Multiples of 172
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 172.
What are the Multiples of 172?
Now, let us learn more about multiples of 172. Multiples of 172 are the numbers you get when you multiply 172 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 172 can be denoted as 172 × 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 172 × 1 will give us 172 as the product. Multiples of 172 will be larger or equal to 172.
List of First 20 Multiples of 172
Multiples of 172 include the products of 172 and an integer. Multiples of 172 are divisible by 172 evenly. The first few multiples of 172 are given below:
| TABLE OF 172 (1-10) | |
|---|---|
|
172 x 1 = 172 |
172 x 6 = 1032 |
|
172 x 2 = 344 |
172 x 7 = 1204 |
|
172 x 3 = 516 |
172 x 8 = 1376 |
|
172 x 4 = 688 |
172 x 9 = 1548 |
|
172 x 5 = 860 |
172 x 10 = 1720 |
| TABLE OF 172 (11-20) | |
|---|---|
|
172 x 11 = 1892 |
172 x 16 = 2752 |
|
172 x 12 = 2064 |
172 x 17 = 2924 |
|
172 x 13 = 2236 |
172 x 18 = 3096 |
|
172 x 14 = 2408 |
172 x 19 = 3268 |
|
172 x 15 = 2580 |
172 x 20 = 3440 |
Operations with Multiples of 172
Understanding the multiples of 172 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 172, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 172:
172, 344, 516, 688, and 860 are the first five multiples of 172. When multiplying 172 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
172 + 344 + 516 + 688 + 860 = 2580
When we add the first 5 multiples of 172, the answer will be 2580.
Subtraction of first 5 Multiples of 172:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 172, 344, 516, 688, and 860 are the first five multiples of 172. So, let us calculate it as given below:
172 - 344 = -172
-172 - 516 = -688
-688 - 688 = -1376
-1376 - 860 = -2236
Hence, the result of subtracting the first 5 multiples of 172 is -2236.
Average of first 5 Multiples of 172:
To calculate the average, we need to identify the sum of the first 5 multiples of 172 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 172 is 2580.
172 + 344 + 516 + 688 + 860 = 2580
Next, divide the sum by 5:
2580 ÷ 5 = 516
516 is the average of the first 5 multiples of 172.
Product of First 5 Multiples of 172:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 172 include 172, 344, 516, 688, and 860. Now, the product of these numbers is:
172 × 344 × 516 × 688 × 860 = 174,142,586,560
The product of the first 5 multiples of 172 is 174,142,586,560.
Division of First 5 Multiples of 172:
While we perform division, we get to know how many times 172 can fit into each of the given multiples. 172, 344, 516, 688, and 860 are the first 5 multiples of 172.
172 ÷ 172 = 1
344 ÷ 172 = 2
516 ÷ 172 = 3
688 ÷ 172 = 4
860 ÷ 172 = 5
The results of dividing the first 5 multiples of 172 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 172
While working with multiples of 172, 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 172. 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 172 refer to the products we get while multiplying 172 with other numbers. For example, multiples of 172 include 0, 172, 344, 516, 688, 860, 1032, 1204, 1376, 1548, 1720….
The factors of 172 are 1, 2, 4, 43, 86, and 172. When 172 is divided by 1, 2, 4, 43, 86, and 172, the remainder will be zero. These are the factors of 172, meaning that these numbers can divide 172 without any remainder.
Factors of 172:
172 ÷ 1 = 172
172 ÷ 2 = 86
172 ÷ 4 = 43
172 ÷ 43 = 4
172 ÷ 86 = 2
172 ÷ 172 = 1
Multiples of 172 Examples
Problem 1
Lina is organizing a charity event where she packages meals for families. Each package contains 172 meals. If she prepares packages for 5 consecutive months, how many meals will she have packaged in total?
860 meals
Explanation
Each month, Lina prepares 172 meals. To find the total number of meals packaged after 5 months, we multiply 172 by 5.
Meals packaged each month = 172
Number of months = 5
172 × 5 = 860
Therefore, Lina will have packaged 860 meals after 5 months.
Problem 2
In a new board game, players collect points in multiples of 172. If Alice, Bob, and Carol collect points in the order of the first three multiples of 172, how many points does each player have?
Alice has 172 points, Bob has 344 points, and Carol has 516 points.
Explanation
The first three multiples of 172 are 172, 344, and 516.
172 × 1 = 172
172 × 2 = 344
172 × 3 = 516
Hence, Alice has 172 points, Bob has 344 points, and Carol has 516 points.
Problem 3
A factory produces 172 widgets every hour. How many widgets are produced in a 9-hour workday?
1,548 widgets
Explanation
To find the total number of widgets produced in a 9-hour workday, multiply the hourly production by the number of hours.
Number of widgets per hour = 172
Number of hours in a workday = 9
172 × 9 = 1,548
Therefore, the factory produces 1,548 widgets in a 9-hour workday.
Problem 4
Mia is arranging chairs for a conference. She has 7 rows, and each row contains 172 chairs. How many chairs are there in total?
1,204 chairs
Explanation
To find the total number of chairs, multiply the number of rows by the number of chairs per row.
Number of rows = 7
Number of chairs in each row = 172
7 × 172 = 1,204
So, there are 1,204 chairs in total.
Problem 5
Jason is stacking boxes in his warehouse. He places 172 boxes on the first pallet, 344 boxes on the second pallet, and 516 boxes on the third pallet. How many boxes are there on all three pallets?
1,032 boxes
Explanation
The first pallet has 172 boxes, the second has 344 boxes, and the third has 516 boxes. Total boxes:
172 + 344 + 516 = 1,032
Therefore, there are 1,032 boxes on all three pallets.
FAQs on Multiples of 172
1.How do you find the multiples of 172?
2.What is the LCM of 7 and 172?
3.What are the real-life applications of Multiples of 172?
4.Are multiples of 172 finite or infinite?
5.Is there any odd multiple of 172?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 172?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 172 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 172?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 172 among early learners in Vietnam?
Important Glossaries for Multiples of 172
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 172 include 172, 344, 516, 688, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 172 are the numbers that consist of the number pattern of 172.
- 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 172 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 43, 86, and 172 are the divisors of 172.
- Factor: A factor is a number that divides another number exactly without leaving a remainder. For instance, 1, 2, 4, 43, 86, and 172 are factors of 172.
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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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: She has songs for each table which helps her to remember the tables
