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 126.
Now, let us learn more about multiples of 126. Multiples of 126 are the numbers you get when you multiply 126 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 126 can be denoted as 126 × 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 126 × 1 will give us 126 as the product. Multiples of 126 will be larger or equal to 126.
Multiples of 126 include the products of 126 and an integer. Multiples of 126 are divisible by 126 evenly. The first few multiples of 126 are given below:
TABLE OF 126 (1-10) | |
---|---|
126 x 1 = 126 |
126 x 6 = 756 |
126 x 2 = 252 |
126 x 7 = 882 |
126 x 3 = 378 |
126 x 8 = 1008 |
126 x 4 = 504 |
126 x 9 = 1134 |
126 x 5 = 630 |
126 x 10 = 1260 |
TABLE OF 126 (11-20) | |
---|---|
126 x 11 = 1386 |
126 x 16 = 2016 |
126 x 12 = 1512 |
126 x 17 = 2142 |
126 x 13 = 1638 |
126 x 18 = 2268 |
126 x 14 = 1764 |
126 x 19 = 2394 |
126 x 15 = 1890 |
126 x 20 = 2520 |
Now, we know the first few multiples of 126. They are 0, 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260,...
Understanding the multiples of 126 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 126, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
126, 252, 378, 504, and 630 are the first five multiples of 126. When multiplying 126 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
126 + 252 + 378 + 504 + 630 = 1890
When we add the first 5 multiples of 126, the answer will be 1890.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 126, 252, 378, 504, and 630 are the first five multiples of 126. So, let us calculate it as given below:
126 - 252 = -126
-126 - 378 = -504
-504 - 504 = -1008
-1008 - 630 = -1638
Hence, the result of subtracting the first 5 multiples of 126 is -1638.
To calculate the average, we need to identify the sum of the first 5 multiples of 126, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 126 is 1890.
126 + 252 + 378 + 504 + 630 = 1890
Next, divide the sum by 5:
1890 ÷ 5 = 378
378 is the average of the first 5 multiples of 126.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 126 include: 126, 252, 378, 504, and 630. Now, the product of these numbers is:
126 × 252 × 378 × 504 × 630 = 3,168,907,776,000
The product of the first 5 multiples of 126 is 3,168,907,776,000.
While we perform division, we get to know how many times 126 can fit into each of the given multiples. 126, 252, 378, 504, and 630 are the first 5 multiples of 126.
126 ÷ 126 = 1
252 ÷ 126 = 2
378 ÷ 126 = 3
504 ÷ 126 = 4
630 ÷ 126 = 5
The results of dividing the first 5 multiples of 126 are: 1, 2, 3, 4, and 5.
While working with multiples of 126, 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:
A delivery company packs large boxes with 126 identical items each. If the company delivers 5 trucks, each fully loaded with these boxes, how many items are delivered in total?
630 items
Each truck carries boxes with 126 items. To find the total number of items delivered by 5 trucks, multiply 126 by 5.
Items per box = 126
Number of trucks = 5
126 × 5 = 630
The company delivers 630 items in total.
Question 2: A concert venue arranges seats in sections where each section contains exactly 126 seats. If three sections are filled, how many seats are occupied in total?
378 seats
Calculate the total number of occupied seats by multiplying the number of sections by the number of seats per section.
Seats per section = 126
Number of sections = 3
126 × 3 = 378
Thus, 378 seats are occupied in total.
A school library organizes its collection into volumes, with each volume containing 126 pages. How many pages are there in total if there are 4 such volumes?
504 pages
Find the total number of pages by multiplying the number of volumes by the number of pages per volume.
Pages per volume = 126
Number of volumes = 4
126 × 4 = 504
Therefore, there are 504 pages in total.
A manufacturing plant produces 126 gadgets every hour. How many gadgets will they produce in 7 hours?
882 gadgets
Multiply the number of gadgets produced per hour by the number of hours to find the total production.
Gadgets per hour = 126
Number of hours = 7
126 × 7 = 882
The plant will produce 882 gadgets in 7 hours.
An art exhibition has paintings arranged in rows, with each row displaying 126 paintings. If there are 6 such rows, how many paintings are exhibited in total?
756 paintings
Multiply the number of rows by the number of paintings per row to find the total number of paintings.
Paintings per row = 126
Number of rows = 6
126 × 6 = 756
Therefore, there are 756 paintings exhibited 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