Last updated on May 26th, 2025
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 175.
Now, let us learn more about multiples of 175. Multiples of 175 are the numbers you get when you multiply 175 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 175 can be denoted as 175 × 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 175 × 1 will give us 175 as the product. Multiples of 175 will be larger or equal to 175.
Multiples of 175 include the products of 175 and an integer. Multiples of 175 are divisible by 175 evenly. The first few multiples of 175 are given below:
TABLE OF 175 (1-10) | |
---|---|
175 x 1 = 175 |
175 x 6 = 1050 |
175 x 2 = 350 |
175 x 7 = 1225 |
175 x 3 = 525 |
175 x 8 = 1400 |
175 x 4 = 700 |
175 x 9 = 1575 |
175 x 5 = 875 |
175 x 10 = 1750 |
TABLE OF 175 (11-20) | |
---|---|
175 x 11 = 1925 |
175 x 16 = 2800 |
175 x 12 = 2100 |
175 x 17 = 2975 |
175 x 13 = 2275 |
175 x 18 = 3150 |
175 x 14 = 2450 |
175 x 19 = 3325 |
175 x 15 = 2625 |
175 x 20 = 3500 |
Now, we know the first few multiples of 175. They are 0, 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750,...
Understanding the multiples of 175 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 175, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
175, 350, 525, 700, and 875 are the first five multiples of 175. When multiplying 175 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
175 + 350 + 525 + 700 + 875 = 2625
When we add the first 5 multiples of 175, the answer will be 2625.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 175, 350, 525, 700, and 875 are the first five multiples of 175. So, let us calculate it as given below:
175 - 350 = -175
-175 - 525 = -700
-700 - 700 = -1400
-1400 - 875 = -2275
Hence, the result of subtracting the first 5 multiples of 175 is -2275.
To calculate the average, we need to identify the sum of the first 5 multiples of 175, and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 175 is 2625.
175 + 350 + 525 + 700 + 875 = 2625
Next, divide the sum by 5:
2625 ÷ 5 = 525
525 is the average of the first 5 multiples of 175.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 175 include: 175, 350, 525, 700, and 875. Now, the product of these numbers is:
175 × 350 × 525 × 700 × 875 = 20,706,250,000,000
The product of the first 5 multiples of 175 is 20,706,250,000,000.
While we perform division, we get to know how many times 175 can fit into each of the given multiples. 175, 350, 525, 700, and 875 are the first 5 multiples of 175.
175 ÷ 175 = 1
350 ÷ 175 = 2
525 ÷ 175 = 3
700 ÷ 175 = 4
875 ÷ 175 = 5
The results of dividing the first 5 multiples of 175 are: 1, 2, 3, 4, and 5.
While working with multiples of 175, 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:
Emily is planning a series of art workshops. Each workshop requires 175 sheets of paper. If she conducts 5 workshops, how many sheets of paper will she need in total?
875 sheets of paper
Each workshop uses 175 sheets. To find the total number of sheets needed for 5 workshops, multiply 175 by 5.
Sheets per workshop = 175
Number of workshops = 5
175 × 5 = 875
Emily will need 875 sheets of paper for all 5 workshops.
A farmer is planting trees in a large orchard. He plants the trees in rows, with 175 trees per row. If he has enough space for 3 complete rows, how many trees will be planted in total?
525 trees
To find the total number of trees, multiply the number of trees per row by the number of rows.
Trees per row = 175
Number of rows = 3
175 × 3 = 525
The farmer will plant a total of 525 trees.
In a factory, machines produce 175 widgets per hour. If the factory operates for 6 hours, how many widgets will be produced?
1050 widgets
Multiply the number of widgets produced per hour by the number of operating hours.
Widgets per hour = 175
Operating hours = 6
175 × 6 = 1050
The factory will produce 1050 widgets in 6 hours.
A travel company offers a bus service that can accommodate 175 passengers per trip. If they run 8 trips in a day, how many passengers can they transport in total?
1400 passengers
Multiply the number of passengers per trip by the number of trips.
Passengers per trip = 175
Number of trips = 8
175 × 8 = 1400
The travel company can transport 1400 passengers in one day.
A library has a system where each section holds 175 books. If there are 4 sections dedicated to fiction books, how many fiction books does the library have in total?
To find the total number of fiction books, multiply the number of books per section by the number of sections.
Books per section = 175
Number of sections = 4
175 × 4 = 700
The library has 700 fiction books in total.
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.
: She has songs for each table which helps her to remember the tables