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Last updated on February 4th, 2025

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Multiples of 100

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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 100.

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What are the Multiples of 100?

Now, let us learn more about multiples of 100. Multiples of 100 are the numbers you get when you multiply 100 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 100 can be denoted as 100 × 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 100 × 1 will give us 100 as the product. Multiples of 100 will be larger or equal to 100.  

multiples of 100

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List of First 20 Multiples of 100

Multiples of 100 include the products of 100 and an integer. Multiples of 100 are divisible by 100 evenly. The first few multiples of 100 are given below:

TABLE OF 100 (1-10)

100 x 1 = 100

100 x 6 = 600

100 x 2 = 200

100 x 7 = 700

100 x 3 = 300

100 x 8 = 800

100 x 4 = 400

100 x 9 = 900

100 x 5 = 500

100 x 10 = 1000

 

TABLE OF 100 (11-20)

100 x 11 = 1100

100 x 16 = 1600

100 x 12 = 1200

100 x 17 = 1700

100 x 13 = 1300

100 x 18 = 1800

100 x 14 = 1400

100 x 19 = 1900

100 x 15 = 1500

100 x 20 = 2000

 

Now, we know the first few multiples of 100. They are 0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000,...
 

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Operations with Multiples of 100

Understanding the multiples of 100 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 100, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 100:


100, 200, 300, 400, and 500 are the first five multiples of 100. When multiplying 100 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


100 + 200 + 300 + 400 + 500 = 1500


When we add the first 5 multiples of 100, the answer will be 1500.  

 

Subtraction of first 5 Multiples of 100:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 100, 200, 300, 400, and 500 are the first five multiples of 100. So, let us calculate it as given below:


100 - 200 = -100
-100 - 300 = -400
-400 - 400 = -800
-800 - 500 = -1300


Hence, the result of subtracting the first 5 multiples of 100 is -1300.

 

Average of first 5 Multiples of 100:


To calculate the average, we need to identify the sum of the first 5 multiples of 100, 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 100 is 1500.


100 + 200 + 300 + 400 + 500 = 1500


Next, divide the sum by 5:


1500 ÷ 5 = 300


300 is the average of the first 5 multiples of 100.

 

Product of First 5 Multiples of 100:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 100 include: 100, 200, 300, 400, and 500. Now, the product of these numbers is:


100 × 200 × 300 × 400 × 500 = 1,200,000,000,000


The product of the first 5 multiples of 100 is 1,200,000,000,000.

 

Division of First 5 Multiples of 100:


While we perform division, we get to know how many times 100 can fit into each of the given multiples. 100, 200, 300, 400, and 500 are the first 5 multiples of 100.


100 ÷ 100 = 1
200 ÷ 100 = 2
300 ÷ 100 = 3
400 ÷ 100 = 4
500 ÷ 100 = 5  

 
The results of dividing the first 5 multiples of 100 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 100

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Multiples of 100 Examples

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Problem 1

A company organizes its files into boxes of 100. Each department sends its files to the storage room every month. If four departments each send one box of files every month for 5 months, how many boxes of files will be in the storage room at the end of 5 months?

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Explanation

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Problem 2

In a video game, players earn points in multiples of 100. The first player earns 100 points, the second earns 200 points, and the third earns 300 points. How many points have all three players earned in total?

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Explanation

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Problem 3

A printing company produces batches of 100 posters each day. If they operate 5 days a week, how many posters will they produce in a month with 4 weeks?

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Explanation

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Problem 4

A concert hall has rows of seats, with each row containing 100 seats. If there are 10 rows in the hall, how many seats are there in total?

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Explanation

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Problem 5

A factory produces 100 gadgets every hour. If the factory operates for 8 hours a day, how many gadgets does it produce in one day?

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Explanation

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FAQs on Multiples of 100

1.How do you find the multiples of 100?

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2.What is the LCM of 5 and 100?

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3.What are the real-life applications of Multiples of 100?

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4.Are multiples of 100 finite or infinite?

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5.Is there any odd multiple of 100?

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Important Glossaries for Multiples of 100

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 100 include 100, 200, 300, 400, etc. 

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 100 are the numbers that consist of the number pattern of 100.

 

  • Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 100 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 10, 20, 25, 50, and 100 are the divisors of 100.

 

  • LCM (Least Common Multiple): It is the smallest multiple common to two or more numbers. For example, the LCM of 5 and 100 is 100.
     
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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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