188 LearnersLast updated on May 26th, 2025
Multiples of 90
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 90.
What are the Multiples of 90?
Now, let us learn more about multiples of 90. Multiples of 90 are the numbers you get when you multiply 90 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 90 can be denoted as 90 × 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 90 × 1 will give us 90 as the product. Multiples of 90 will be larger or equal to 90.
List of First 20 Multiples of 90
Multiples of 90 include the products of 90 and an integer. Multiples of 90 are divisible by 90 evenly. The first few multiples of 90 are given below:
| TABLE OF 90 (1-10) | |
|---|---|
|
90 x 1 = 90 |
90 x 6 = 540 |
|
90 x 2 = 180 |
90 x 7 = 630 |
|
90 x 3 = 270 |
90 x 8 = 720 |
|
90 x 4 = 360 |
90 x 9 = 810 |
|
90 x 5 = 450 |
90 x 10 = 900 |
| TABLE OF 90 (11-20) | |
|---|---|
|
90 x 11 = 990 |
90 x 16 = 1440 |
|
90 x 12 = 1080 |
90 x 17 = 1530 |
|
90 x 13 = 1170 |
90 x 18 = 1620 |
|
90 x 14 = 1260 |
90 x 19 = 1710 |
|
90 x 15 = 1350 |
90 x 20 = 1800 |
Operations with Multiples of 90
Understanding the multiples of 90 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 90, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 90:
90, 180, 270, 360, and 450 are the first five multiples of 90. When multiplying 90 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
90 + 180 + 270 + 360 + 450 = 1350
When we add the first 5 multiples of 90, the answer will be 1350.
Subtraction of first 5 Multiples of 90:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 90, 180, 270, 360, and 450 are the first five multiples of 90. So, let us calculate it as given below:
90 - 180 = -90
-90 - 270 = -360
-360 - 360 = -720
-720 - 450 = -1170
Hence, the result of subtracting the first 5 multiples of 90 is -1170.
Average of first 5 Multiples of 90:
To calculate the average, we need to identify the sum of the first 5 multiples of 90 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 90 is 1350.
90 + 180 + 270 + 360 + 450 = 1350
Next, divide the sum by 5:
1350 ÷ 5 = 270
270 is the average of the first 5 multiples of 90.
Product of First 5 Multiples of 90:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 90 include: 90, 180, 270, 360, and 450. Now, the product of these numbers is:
90 × 180 × 270 × 360 × 450 = 2,976,072,000,000
The product of the first 5 multiples of 90 is 2,976,072,000,000.
Division of First 5 Multiples of 90:
While we perform division, we get to know how many times 90 can fit into each of the given multiples. 90, 180, 270, 360, and 450 are the first 5 multiples of 90.
90 ÷ 90 = 1
180 ÷ 90 = 2
270 ÷ 90 = 3
360 ÷ 90 = 4
450 ÷ 90 = 5
The results of dividing the first 5 multiples of 90 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 90
While working with multiples of 90, 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 90. 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 90 refer to the products we get while multiplying 90 with other numbers. For example, multiples of 90 include 0, 90, 180, 270, 360, 450, 540, 630, 720, 810, 900….
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. These are the numbers that can divide 90 without any remainder.
Factors of 90:
90 ÷ 1 = 90
90 ÷ 2 = 45
90 ÷ 3 = 30
90 ÷ 5 = 18
90 ÷ 6 = 15
90 ÷ 9 = 10
90 ÷ 10 = 9
90 ÷ 15 = 6
90 ÷ 18 = 5
90 ÷ 30 = 3
90 ÷ 45 = 2
90 ÷ 90 = 1
Multiples of 90 Examples
Problem 1
Alex runs a bakery where he sells cakes in batches. Each batch contains 90 cakes. If he bakes 90 cakes every day for a month of 30 days, how many cakes will he have baked by the end of the month?
2,700 cakes
Explanation
Each day, Alex bakes 90 cakes. To find the total number of cakes baked after 30 days, multiply 90 by 30.
Cakes baked each day = 90
Number of days = 30
90 × 30 = 2,700
Thus, Alex will have baked 2,700 cakes by the end of the month.
Problem 2
A concert hall has rows of seats that can accommodate 90 people per row. If the first three rows are filled with people, how many people are seated in total?
270 people
Explanation
The first three multiples of 90 are the number of people that can be seated in the first three rows.
90 × 1 = 90
90 × 2 = 180
90 × 3 = 270
Therefore, 270 people are seated in total.
Problem 3
A production company makes 90 movie posters per day. If they work for 8 days, how many posters will they produce in total?
720 posters
Explanation
To find the total number of posters produced, multiply the number of posters made each day by the number of days they work.
Number of posters per day = 90
Number of days = 8
90 × 8 = 720
They will produce 720 posters in total.
Problem 4
An art exhibition displays sculptures in groups. Each group contains 90 sculptures. If there are 5 such groups, how many sculptures are displayed in total?
450 sculptures
Explanation
To find the total number of sculptures, multiply the number of groups by the number of sculptures in each group.
Number of groups = 5
Number of sculptures per group = 90
5 × 90 = 450
Thus, there are 450 sculptures displayed in total.
Problem 5
In a library, there are three sections. The first section contains 90 books, the second section contains 180 books, and the third section contains 270 books. How many books are there in total in all three sections?
540 books
Explanation
Add the number of books in each section to find the total.
First section = 90 books
Second section = 180 books
Third section = 270 books
90 + 180 + 270 = 540
Therefore, there are 540 books in total across all three sections
FAQs on Multiples of 90
1.How do you find the multiples of 90?
2.What is the LCM of 5 and 90?
3. What are the real-life applications of Multiples of 90?
4.Are multiples of 90 finite or infinite?
5.Is there any odd multiple of 90?
Important Glossaries for Multiples of 90
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 90 include 90, 180, 270, 360, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 90 are the numbers that consist of the number pattern of 90.
- Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 90 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90 are the divisors of 90.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 5 and 90 is 90.
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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
