164 LearnersLast updated on May 26th, 2025
Multiples of 900
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 900.
What are the Multiples of 900?
Now, let us learn more about multiples of 900. Multiples of 900 are the numbers you get when you multiply 900 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 900 can be denoted as 900 × 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 900 × 1 will give us 900 as the product. Multiples of 900 will be larger or equal to 900.
List of First 20 Multiples of 900
Multiples of 900 include the products of 900 and an integer. Multiples of 900 are divisible by 900 evenly. The first few multiples of 900 are given below:
| TABLE OF 900 (1-10) | |
|---|---|
|
900 x 1 = 900 |
900 x 6 = 5400 |
|
900 x 2 = 1800 |
900 x 7 = 6300 |
|
900 x 3 = 2700 |
900 x 8 = 7200 |
|
900 x 4 = 3600 |
900 x 9 = 8100 |
|
900 x 5 = 4500 |
900 x 10 = 9000 |
| TABLE OF 900 (11-20) | |
|---|---|
|
900 x 11 = 9900 |
900 x 16 = 14400 |
|
900 x 12 = 10800 |
900 x 17 = 15300 |
|
900 x 13 = 11700 |
900 x 18 = 16200 |
|
900 x 14 = 12600 |
900 x 19 = 17100 |
|
900 x 15 = 13500 |
900 x 20 = 18000 |
Now, we know the first few multiples of 900. They are 0, 900, 1800, 2700, 3600, 4500, 5400, 6300, 7200, 8100, 9000,...
Operations with Multiples of 900
Understanding the multiples of 900 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 900, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 900:
900, 1800, 2700, 3600, and 4500 are the first five multiples of 900. When multiplying 900 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
900 + 1800 + 2700 + 3600 + 4500 = 13500
When we add the first 5 multiples of 900, the answer will be 13500.
Subtraction of first 5 Multiples of 900:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 900, 1800, 2700, 3600, and 4500 are the first five multiples of 900. So, let us calculate it as given below:
900 - 1800 = -900
-900 - 2700 = -3600
-3600 - 3600 = -7200
-7200 - 4500 = -11700
Hence, the result of subtracting the first 5 multiples of 900 is
-11700.
Average of first 5 Multiples of 900:
To calculate the average, we need to identify the sum of the first 5 multiples of 900, 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 900 is 13500.
900 + 1800 + 2700 + 3600 + 4500 = 13500
Next, divide the sum by 5:
13500 ÷ 5 = 2700
2700 is the average of the first 5 multiples of 900.
Product of First 5 Multiples of 900:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 900 include: 900, 1800, 2700, 3600, and 4500. Now, the product of these numbers is:
900 × 1800 × 2700 × 3600 × 4500 = 116,640,000,000,000,000
The product of the first 5 multiples of 900 is
116,640,000,000,000,000.
Division of First 5 Multiples of 900:
While we perform division, we get to know how many times 900 can fit into each of the given multiples. 900, 1800, 2700, 3600, and 4500 are the first 5 multiples of 900.
900 ÷ 900 = 1
1800 ÷ 900 = 2
2700 ÷ 900 = 3
3600 ÷ 900 = 4
4500 ÷ 900 = 5
The results of dividing the first 5 multiples of 900 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 900
While working with Multiples of 900, 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 900. 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 900 refer to the products we get while multiplying 900 with other numbers. For example, multiples of 900 include 0, 900, 1800, 2700, 3600, 4500, 5400, 6300, 7200, 8100, 9000….
The factors of 900 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 36, 45, 50, 75, 90, 100, 150, 180, 225, 300, 450, and 900. When 900 is divided by these numbers, the remainder will be zero. These are the factors of 900, meaning that these numbers can divide 900 without any remainder.
Factors of 900:
900 ÷ 1 = 900
900 ÷ 2 = 450
900 ÷ 3 = 300
900 ÷ 5 = 180
900 ÷ 6 = 150
900 ÷ 9 = 100
900 ÷ 10 = 90
900 ÷ 15 = 60
900 ÷ 18 = 50
900 ÷ 25 = 36
900 ÷ 30 = 30
900 ÷ 36 = 25
900 ÷ 45 = 20
900 ÷ 50 = 18
900 ÷ 75 = 12
900 ÷ 90 = 10
900 ÷ 100 = 9
900 ÷ 150 = 6
900 ÷ 180 = 5
900 ÷ 225 = 4
900 ÷ 300 = 3
900 ÷ 450 = 2
900 ÷ 900 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 900 include 900, 1800, 2700, 3600, 4500, 5400, …..9000, 9900,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 900, the result will still be a multiple of 900. For example, children may write,
900 + 1800 = 2700, (which is correct)
Ensure that the results are multiples of 900.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 900, and any other number, is zero. It has a valid value. Remember this:
900 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 900 + 900 + 900 + 900 + 900. Instead of adding too many values, use multiplication. Calculate 900 × n for the nth multiple.
For example, instead of 900 + 900 + 900 + 900 + 900, calculate it as given below:
900 × 5 = 4500
Multiples of 900 Examples
Problem 1
A company produces custom-made tables. Each batch of tables produced by the company contains 900 tables. If the company completes 5 batches in a year, how many tables are produced in total by the end of the year?
4500 tables
Explanation
To find the total number of tables produced, we multiply the number of tables in each batch by the number of batches completed in a year.
Tables per batch = 900
Number of batches = 5
900 × 5 = 4500
Therefore, the company produces 4500 tables in a year.
Problem 2
There is a large music festival that uses speakers capable of emitting sound up to 900 decibels. If the festival has 3 stages, each equipped with 900 decibel speakers, what is the total sound capacity when all stages operate at full capacity?
2700 decibels
Explanation
To determine the total sound capacity, we multiply the sound capacity of the speakers by the number of stages.
Sound capacity per stage = 900 decibels
Number of stages = 3
900 × 3 = 2700
Thus, the total sound capacity is 2700 decibels.
Problem 3
A factory packages pencils into boxes, with each box containing 900 pencils. If an order requires 7 boxes to be shipped, how many pencils are needed to fulfill this order?
6300 pencils
Explanation
To determine the total number of pencils needed, multiply the number of pencils per box by the number of boxes needed.
Pencils per box = 900
Number of boxes = 7
900 × 7 = 6300
Therefore, 6300 pencils are required to fulfill the order.
Problem 4
A library organizes its books in sections, with each section accommodating exactly 900 books. How many books are in the library if there are 6 sections filled to capacity?
5400 books
Explanation
To find the total number of books, multiply the number of books per section by the number of sections.
Books per section = 900
Number of sections = 6
900 × 6 = 5400
Therefore, the library contains 5400 books.
Problem 5
A cargo ship is transporting large crates, with each crate weighing 900 kg. How much weight in kilograms is being transported if the ship carries 8 such crates?
7200 kg
Explanation
To find the total weight, multiply the weight of each crate by the number of crates on the ship.
Weight per crate = 900 kg
Number of crates = 8
900 × 8 = 7200
Thus, the total weight being transported is 7200 kg.
FAQs on Multiples of 900
1.How do you find the multiples of 900?
2.What is the LCM of 900 and 1200?
3.What are the real-life applications of Multiples of 900?
4.Are multiples of 900 finite or infinite?
5.Is there any odd multiple of 900?
6.How can children in Vietnam use numbers in everyday life to understand Multiples of 900?
7.What are some fun ways kids in Vietnam can practice Multiples of 900 with numbers?
8.What role do numbers and Multiples of 900 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Multiples of 900 skills?
Important Glossaries for Multiples of 900
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 900 include 900, 1800, 2700, 3600, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 900 are the numbers that consist of the number pattern of 900.
- 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 900 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 5, and many others are the divisors of 900.
- LCM (Least Common Multiple): Refers to the smallest positive integer that is a multiple of two or more numbers.
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About BrightChamps in Vietnam
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
