Last updated on May 26th, 2025
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 174.
Now, let us learn more about multiples of 174. Multiples of 174 are the numbers you get when you multiply 174 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 174 can be denoted as 174 × 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 174 × 1 will give us 174 as the product. Multiples of 174 will be larger or equal to 174.
Multiples of 174 include the products of 174 and an integer. Multiples of 174 are divisible by 174 evenly. The first few multiples of 174 are given below:
TABLE OF 174 (1-10) | |
---|---|
174 x 1 = 174 |
174 x 6 = 1044 |
174 x 2 = 348 |
174 x 7 = 1218 |
174 x 3 = 522 |
174 x 8 = 1392 |
174 x 4 = 696 |
174 x 9 = 1566 |
174 x 5 = 870 |
174 x 10 = 1740 |
TABLE OF 174 (11-20) | |
---|---|
174 x 11 = 1914 |
174 x 16 = 2784 |
174 x 12 = 2088 |
174 x 17 = 2958 |
174 x 13 = 2262 |
174 x 18 = 3132 |
174 x 14 = 2436 |
174 x 19 = 3306 |
174 x 15 = 2610 |
174 x 20 = 3480 |
Now, we know the first few multiples of 174. They are 0, 174, 348, 522, 696, 870, 1044, 1218, 1392, 1566, 1740,...
Understanding the multiples of 174 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 174, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
174, 348, 522, 696, and 870 are the first five multiples of 174. When multiplying 174 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
174 + 348 + 522 + 696 + 870 = 2610
When we add the first 5 multiples of 174, the answer will be 2610.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 174, 348, 522, 696, and 870 are the first five multiples of 174. So, let us calculate it as given below:
174 - 348 = -174
-174 - 522 = -696
-696 - 696 = -1392
-1392 - 870 = -2262
Hence, the result of subtracting the first 5 multiples of 174 is -2262.
To calculate the average, we need to identify the sum of the first 5 multiples of 174 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 174 is 2610.
174 + 348 + 522 + 696 + 870 = 2610
Next, divide the sum by 5:
2610 ÷ 5 = 522
522 is the average of the first 5 multiples of 174.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 174 include: 174, 348, 522, 696, and 870. Now, the product of these numbers is:
174 × 348 × 522 × 696 × 870 = 47,045,444,992,000
The product of the first 5 multiples of 174 is 47,045,444,992,000.
While we perform division, we get to know how many times 174 can fit into each of the given multiples. 174, 348, 522, 696, and 870 are the first 5 multiples of 174.
174 ÷ 174 = 1
348 ÷ 174 = 2
522 ÷ 174 = 3
696 ÷ 174 = 4
870 ÷ 174 = 5
The results of dividing the first 5 multiples of 174 are: 1, 2, 3, 4, and 5.
While working with multiples of 174, 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:
In a factory, each machine produces 174 widgets per day. The factory operates 7 machines. How many widgets does the factory produce in total per day?
1,218 widgets
Each machine produces 174 widgets daily. To find the total production, multiply the number of machines by the widgets each machine produces.
Widgets per machine per day = 174
Number of machines = 7
174 × 7 = 1,218
The factory produces 1,218 widgets per day.
A library is organizing reading sessions where each session can accommodate 174 participants. If the library plans to hold 5 sessions, how many participants can attend in total?
870 participants
Each session can accommodate 174 participants. Multiply the number of sessions by the number of participants per session to find the total number of participants.
Participants per session = 174
Number of sessions = 5
174 × 5 = 870
Therefore, a total of 870 participants can attend.
In an art gallery, each exhibit room can display 174 paintings. If there are 6 exhibit rooms, how many paintings can be displayed in total?
1,044 paintings
Each exhibit room can display 174 paintings. Multiply the number of rooms by the number of paintings per room to find the total number of paintings.
Paintings per room = 174
Number of rooms = 6
174 × 6 = 1,044
Therefore, a total of 1,044 paintings can be displayed.
A theater has rows of seats, each row containing 174 seats. If there are 8 rows, how many seats are there in total?
1,392 seats
Each row has 174 seats. Multiply the number of rows by the number of seats per row to find the total number of seats.
Seats per row = 174
Number of rows = 8
174 × 8 = 1,392
So, there are 1,392 seats in total in the theater.
A marathon event offers 174 energy bars at each checkpoint. If there are 3 checkpoints along the route, how many energy bars are distributed in total?
522 energy bars
Each checkpoint provides 174 energy bars. Multiply the number of checkpoints by the number of energy bars at each to find the total number distributed.
Energy bars per checkpoint = 174
Number of checkpoints = 3
174 × 3 = 522
Therefore, a total of 522 energy bars are distributed.
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