Table Of Contents
Last updated on February 11th, 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 36.
Now, let us learn more about multiples of 36. Multiples of 36 are the numbers you get when you multiply 36 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 36 can be denoted as 36 × 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 36 × 1 will give us 36 as the product. Multiples of 36 will be larger or equal to 36.
Multiples of 36 include the products of 36 and an integer. Multiples of 36 are divisible by 36 evenly. The first few multiples of 36 are given below:
TABLE OF 36 (1-10) | |
---|---|
36 x 1 = 36 |
36 x 6 = 216 |
36 x 2 = 72 |
36 x 7 = 252 |
36 x 3 = 108 |
36 x 8 = 288 |
36 x 4 = 144 |
36 x 9 = 324 |
36 x 5 = 180 |
36 x 10 = 360 |
TABLE OF 36 (11-20) | |
---|---|
36 x 11 = 396 |
36 x 16 = 576 |
36 x 12 = 432 |
36 x 17 = 612 |
36 x 13 = 468 |
36 x 18 = 648 |
36 x 14 = 504 |
36 x 19 = 684 |
36 x 15 = 540 |
36 x 20 = 720 |
Now, we know the first few multiples of 36. They are 0, 36, 72, 108, 144, 180, 216, 252, 288, 324, 360,...
Understanding the multiples of 36 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 36, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
36, 72, 108, 144, and 180 are the first five multiples of 36. When multiplying 36 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
36 + 72 + 108 + 144 + 180 = 540
When we add the first 5 multiples of 36, the answer will be 540.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 36, 72, 108, 144, and 180 are the first five multiples of 36. So, let us calculate it as given below:
36 - 72 = -36
-36 - 108 = -144
-144 - 144 = -288
-288 - 180 = -468
Hence, the result of subtracting the first 5 multiples of 36 is -468.
To calculate the average, we need to identify the sum of the first 5 multiples of 36, 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 36 is 540.
36 + 72 + 108 + 144 + 180 = 540
Next, divide the sum by 5:
540 ÷ 5 = 108
108 is the average of the first 5 multiples of 36.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 36 include: 36, 72, 108, 144, and 180. Now, the product of these numbers is:
36 × 72 × 108 × 144 × 180 = 1,361,797,632
The product of the first 5 multiples of 36 is 1,361,797,632.
While we perform division, we get to know how many times 36 can fit into each of the given multiples. 36, 72, 108, 144, and 180 are the first 5 multiples of 36.
36 ÷ 36 = 1
72 ÷ 36 = 2
108 ÷ 36 = 3
144 ÷ 36 = 4
180 ÷ 36 = 5
The results of dividing the first 5 multiples of 36 are: 1, 2, 3, 4, and 5.
In a park, there are bicycles that can be rented out. Each bicycle has 36 gears. If a group of cyclists rents 5 bicycles, how many gears will they have in total?
A new art exhibit is being set up with sculptures. Each sculpture is made up of 36 individual pieces. If the exhibit includes the first four multiples of 36 in terms of sculptures, how many pieces in total are used?
At a music festival, there are 36 speakers set up across the venue. Each speaker can play a track simultaneously. If each track lasts 3 minutes and they broadcast the first five multiples of 36 tracks in sequence, how long will the broadcast last?
In a large library, they have a special event where each book shelf holds exactly 36 books. If there are 9 shelves filled with these books, how many books are displayed in total?
A factory produces toy cars in batches, each batch containing 36 cars. If the factory operates on the first six multiples of 36 batches in a day, how many toy cars are produced in that day?
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