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Last updated on March 29th, 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 30.
Now, let us learn more about multiples of 30. Multiples of 30 are the numbers you get when you multiply 30 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 30 can be denoted as 30 × 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 30 × 1 will give us 30 as the product. Multiples of 30 will be larger or equal to 30.
Multiples of 30 include the products of 30 and an integer. Multiples of 30 are divisible by 30 evenly. The first few multiples of 30 are given below:
TABLE OF 30 (1-10) | |
---|---|
30 x 1 = 30 |
30 x 6 = 180 |
30 x 2 = 60 |
30 x 7 = 210 |
30 x 3 = 90 |
30 x 8 = 240 |
30 x 4 = 120 |
30 x 9 = 270 |
30 x 5 = 150 |
30 x 10 = 300 |
TABLE OF 30 (11-20) | |
---|---|
30 x 11 = 330 |
30 x 16 = 480 |
30 x 12 = 360 |
30 x 17 = 510 |
30 x 13 = 390 |
30 x 18 = 540 |
30 x 14 = 420 |
30 x 19 = 570 |
30 x 15 = 450 |
30 x 20 = 600 |
Now, we know the first few multiples of 30. They are 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300,...
Understanding the multiples of 30 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 30, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
30, 60, 90, 120, and 150 are the first five multiples of 30. When multiplying 30 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
30 + 60 + 90 + 120 + 150 = 450
When we add the first 5 multiples of 30, the answer will be 450.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 30, 60, 90, 120, and 150 are the first five multiples of 30. So, let us calculate it as given below:
30 - 60 = -30
-30 - 90 = -120
-120 - 120 = -240
-240 - 150 = -390
Hence, the result of subtracting the first 5 multiples of 30 is -390.
30 + 60 + 90 + 120 + 150 = 450
Next, divide the sum by 5:
450 ÷ 5 = 90
90 is the average of the first 5 multiples of 30.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 30 include: 30, 60, 90, 120, and 150. Now, the product of these numbers is:
30 × 60 × 90 × 120 × 150 = 29,160,000,000
The product of the first 5 multiples of 30 is 29,160,000,000.
While we perform division, we get to know how many times 30 can fit into each of the given multiples. 30, 60, 90, 120, and 150 are the first 5 multiples of 30.
30 ÷ 30 = 1
60 ÷ 30 = 2
90 ÷ 30 = 3
120 ÷ 30 = 4
150 ÷ 30 = 5
The results of dividing the first 5 multiples of 30 are: 1, 2, 3, 4, and 5.
Sophia is organizing a charity event where each ticket costs $30. If she sells tickets every week and sells 30 tickets each week, how much money will she have collected after 5 weeks?
At a car dealership, every batch of cars delivered contains 30 vehicles. If the first three batches have been delivered, how many cars have been received in total?
A bakery produces boxes of cookies in batches of 30. If they have 30 boxes on each shelf and there are 4 shelves, how many boxes of cookies are there in total in the bakery?
Emma is collecting stamps. She organizes them in albums, with each album holding 5 pages, and each page holding 30 stamps. How many stamps does she have in total if all albums are full?
Daniel is setting up chairs for a conference. He has 30 chairs in the first row, 60 in the second, and 90 in the third. How many chairs are there 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