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Last updated on March 29th, 2025

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Multiples of 900

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Foundation
Intermediate
Advance Topics

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.

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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.multiples of 900

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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,...

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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.

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Common Mistakes and How to Avoid Them in Multiples of 900

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Multiples of 900 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 900

1.How do you find the multiples of 900?

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2.What is the LCM of 900 and 1200?

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3.What are the real-life applications of Multiples of 900?

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4.Are multiples of 900 finite or infinite?

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5.Is there any odd multiple of 900?

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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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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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