179 LearnersLast updated on May 26th, 2025
Multiples of 45
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 45.
What are the Multiples of 45?
Now, let us learn more about multiples of 45. Multiples of 45 are the numbers you get when you multiply 45 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 45 can be denoted as 45 × 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 45 × 1 will give us 45 as the product. Multiples of 45 will be larger or equal to 45.
List of First 20 Multiples of 45
Multiples of 45 include the products of 45 and an integer. Multiples of 45 are divisible by 45 evenly. The first few multiples of 45 are given below:
| TABLE OF 45 (1-10) | |
|---|---|
|
45 x 1 = 45 |
45 x 6 = 270 |
|
45 x 2 = 90 |
45 x 7 = 315 |
|
45 x 3 = 135 |
45 x 8 = 360 |
|
45 x 4 = 180 |
45 x 9 = 405 |
|
45 x 5 = 225 |
45 x 10 = 450 |
| TABLE OF 45 (11-20) | |
|---|---|
|
45 x 11 = 495 |
45 x 16 = 720 |
|
45 x 12 = 540 |
45 x 17 = 765 |
|
45 x 13 = 585 |
45 x 18 = 810 |
|
45 x 14 = 630 |
45 x 19 = 855 |
|
45 x 15 = 675 |
45 x 20 = 900 |
Now, we know the first few multiples of 45. They are 0, 45, 90, 135, 180, 225, 270, 315, 360, 405, 450,...
Operations with Multiples of 45
Understanding the multiples of 45 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 45, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 45:
45, 90, 135, 180, and 225 are the first five multiples of 45. When multiplying 45 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
45 + 90 + 135 + 180 + 225 = 675
When we add the first 5 multiples of 45 the answer will be 675.
Subtraction of First 5 Multiples of 45:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 45, 90, 135, 180, and 225 are the first five multiples of 45. So, let us calculate it as given below:
45 - 90 = -45
-45 - 135 = -180
-180 - 180 = -360
-360 - 225 = -585
Hence, the result of subtracting the first 5 multiples of 45 is -585.
Average of First 5 Multiples of 45:
To calculate the average, we need to identify the sum of the first 5 multiples of 45, 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 45 is 675.
45 + 90 + 135 + 180 + 225 = 675
Next, divide the sum by 5:
675 ÷ 5 = 135
135 is the average of the first 5 multiples of 45.
Product of First 5 Multiples of 45:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 45 include: 45, 90, 135, 180, and 225. Now, the product of these numbers is:
45 × 90 × 135 × 180 × 225 = 2,059,031,250
The product of the first 5 multiples of 45 is 2,059,031,250.
Division of First 5 Multiples of 45:
While we perform division, we get to know how many times 45 can fit into each of the given multiples. 45, 90, 135, 180, and 225 are the first 5 multiples of 45.
45 ÷ 45 = 1
90 ÷ 45 = 2
135 ÷ 45 = 3
180 ÷ 45 = 4
225 ÷ 45 = 5
The results of dividing the first 5 multiples of 45 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 45
While working with multiples of 45, 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:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 45. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number.
Multiples of 45 refer to the products we get while multiplying 45 with other numbers. For example, multiples of 45 include 0, 45, 90, 135, 180, 225, 270, 315, 360, 405, 450,…
The factors of 45 are 1, 3, 5, 9, 15, and 45. When 45 is divided by these numbers, the remainder will be zero.
Factors of 45:
45 ÷ 1 = 45
45 ÷ 3 = 15
45 ÷ 5 = 9
45 ÷ 9 = 5
45 ÷ 15 = 3
45 ÷ 45 = 1
Multiples of 45 Examples
Problem 1
In a recycling drive, a group of volunteers collects bags of plastic bottles. Each volunteer collects 45 bags of bottles every week. If the group consists of 6 volunteers, how many bags of bottles will they have collected in total after 5 weeks?
1350 bags
Explanation
Each volunteer collects 45 bags in a week. Over 5 weeks, each volunteer collects 45 × 5 bags. With 6 volunteers, we calculate the total number of bags collected:
Bags collected by one volunteer in 5 weeks = 45 × 5 = 225
Total bags collected by 6 volunteers = 225 × 6 = 1350
Therefore, they will have collected 1350 bags in total.
Problem 2
A farm produces crates of apples, with each crate containing 45 apples. If the farm produces apples following the first three multiples of 45 over three consecutive days, how many apples are produced each day?
45, 90, and 135 apples
Explanation
The first three multiples of 45 are 45, 90, and 135. Each day, the farm produces a different multiple of 45:
Day 1 production = 45 × 1 = 45 apples
Day 2 production = 45 × 2 = 90 apples
Day 3 production = 45 × 3 = 135 apples
Thus, 45 apples on the first day, 90 on the second, and 135 on the third.
Problem 3
In a school art project, students are making clay sculptures. Each class has 45 students, and the school has 7 classes. How many sculptures are made in total?
315 sculptures
Explanation
To find the total number of sculptures made, we need to multiply the number of students by the number of classes:
Number of classes = 7
Number of students in each class = 45
Total sculptures = 45 × 7 = 315
Therefore, 315 sculptures are made in total.
Problem 4
Jessica is arranging her stamp collection. She has 9 albums, and each album holds 45 stamps. How many stamps does she have in total?
405 stamps
Explanation
To find the total number of stamps Jessica has, we multiply the number of albums by the number of stamps in each album:
Number of albums = 9
Number of stamps in each album = 45
Total stamps = 45 × 9 = 405
So, Jessica has 405 stamps in total.
Problem 5
A concert hall is set up with seating in rows. The first row has 45 seats, the second row has 90 seats, and the third row has 135 seats. How many seats are there in total across these three rows?
270 seats
Explanation
The first row has 45 seats, the second row has 90 seats, and the third row has 135 seats. We calculate the total number of seats:
45 + 90 + 135 = 270
Therefore, there are a total of 270 seats in the concert hall across these three rows.
FAQs on Multiples of 45
1.How do you find the multiples of 45?
2.What is the LCM of 5 and 9?
3.What are the real-life applications of Multiples of 45?
4.Are multiples of 45 finite or infinite?
5.Is there any odd multiples of 45?
Important Glossaries for Multiples of 45
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 45 include 45, 90, 135, 180, etc.
- Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 45 are the numbers that consist of the number pattern of 45.
- Odd Number: An odd number is a number that cannot be evenly divided by 2. The multiples of 45 include both odd and even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 9, 15, and 45 are the divisors of 45.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 5 and 9 is 45.
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Seyed Ali Fathima S
About the Author
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.
Fun Fact
: She has songs for each table which helps her to remember the tables
