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Last updated on May 26th, 2025

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Multiples of 195

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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 195.

Multiples of 195 for Vietnamese Students
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What are the Multiples of 195?

Now, let us learn more about multiples of 195. Multiples of 195 are the numbers you get when you multiply 195 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 195 can be denoted as 195 × 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 195 × 1 will give us 195 as the product. Multiples of 195 will be larger or equal to 195.multiples of 195

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List of First 20 Multiples of 195

Multiples of 195 include the products of 195 and an integer. Multiples of 195 are divisible by 195 evenly. The first few multiples of 195 are given below:

 

TABLE OF 195 (1-10)

195 x 1 = 195

195 x 6 = 1170

195 x 2 = 390

195 x 7 = 1365

195 x 3 = 585

195 x 8 = 1560

195 x 4 = 780

195 x 9 = 1755

195 x 5 = 975

195 x 10 = 1950

 

TABLE OF 195 (11-20)

195 x 11 = 2145

195 x 16 = 3120

195 x 12 = 2340

195 x 17 = 3315

195 x 13 = 2535

195 x 18 = 3510

195 x 14 = 2730

195 x 19 = 3705

195 x 15 = 2925

195 x 20 = 3900

 

Now, we know the first few multiples of 195. They are 0, 195, 390, 585, 780, 975, 1170, 1365, 1560, 1755, 1950,...

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Operations with Multiples of 195

Understanding the multiples of 195 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 195, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 195:


195, 390, 585, 780, and 975 are the first five multiples of 195. When multiplying 195 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


195 + 390 + 585 + 780 + 975 = 2925


When we add the first 5 multiples of 195, the answer will be 2925.  

 

Subtraction of first 5 Multiples of 195:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 195, 390, 585, 780, and 975 are the first five multiples of 195. So, let us calculate it as given below:


195 - 390 = -195
-195 - 585 = -780
-780 - 780 = -1560
-1560 - 975 = -2535


Hence, the result of subtracting the first 5 multiples of 195 is -2535.

 

Average of first 5 Multiples of 195:


To calculate the average, we need to identify the sum of the first 5 multiples of 195, 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 195 is 2925.
195 + 390 + 585 + 780 + 975 = 2925


Next, divide the sum by 5:


2925 ÷ 5 = 585


585 is the average of the first 5 multiples of 195.

 

Product of First 5 Multiples of 195:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 195 include: 195, 390, 585, 780, and 975. Now, the product of these numbers is:


195 × 390 × 585 × 780 × 975 = 4,550,408,437,500


The product of the first 5 multiples of 195 is 4,550,408,437,500.

 

Division of First 5 Multiples of 195:


While we perform division, we get to know how many times 195 can fit into each of the given multiples. 195, 390, 585, 780, and 975 are the first 5 multiples of 195.


195 ÷ 195 = 1
390 ÷ 195 = 2
585 ÷ 195 = 3
780 ÷ 195 = 4
975 ÷ 195 = 5  

 
The results of dividing the first 5 multiples of 195 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 195

While working with multiples of 195, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 195. 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 195 refer to the products we get while multiplying 195 with other numbers. For example, multiples of 195 include 0, 195, 390, 585, 780, 975, 1170, 1365, 1560, 1755, 1950….


The factors of 195 are 1, 3, 5, 13, 15, 39, 65, and 195. When 195 is divided by these numbers, the remainder will be zero. These are the factors of 195, meaning these numbers can divide 195 without any remainder.

 

Factors of 195:


195 ÷ 1 = 195
195 ÷ 3 = 65
195 ÷ 5 = 39
195 ÷ 13 = 15

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Multiples of 195 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Elena is preparing for an art exhibition. She decides to hang 195 paintings in each section of the gallery. If she has 5 sections to fill, how many paintings will she need in total?

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975 paintings 

Explanation

Each section has 195 paintings. To find the total number of paintings needed for all sections, we multiply the number of sections by the number of paintings per section.

 

Number of sections = 5  
Number of paintings per section = 195  

 

195 × 5 = 975  

 

Therefore, Elena will need 975 paintings for the exhibition.

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Max, the Girl Character from BrightChamps

Problem 2

Joshua creates a playlist where each album contains 195 songs. If he creates playlists for 3 of his road trips, how many songs will he have in total across all playlists?

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585 songs 

Explanation

Each playlist contains 195 songs. To find the total number of songs across all playlists, multiply the number of playlists by the number of songs in each.

 

Number of playlists = 3  
Number of songs per playlist = 195

 

 195 × 3 = 585

 

 Joshua will have a total of 585 songs across all playlists.

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Max, the Girl Character from BrightChamps

Problem 3

During a marathon, each water station is stocked with 195 bottles of water. If there are 6 water stations along the route, how many bottles of water are available in total?

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1170 bottles

Explanation

Each station has 195 bottles. To find the total number of bottles across all stations, multiply the number of stations by the number of bottles per station.

 

Number of stations = 6  
Number of bottles per station = 195  

 

195 × 6 = 1170  

 

There are 1170 bottles of water available in total.

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Max, the Girl Character from BrightChamps

Problem 4

A theater has 195 seats in each row. If there are 4 rows in the theater, how many seats are there altogether?

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780 seats

Explanation

Each row has 195 seats. To find the total number of seats, multiply the number of rows by the number of seats in each row.

 

Number of rows = 4  
Number of seats per row = 195  

 

195 × 4 = 780  

 

Therefore, there are 780 seats in the theater.

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Max, the Girl Character from BrightChamps

Problem 5

A charity organization collects $195 from each donor. If they receive donations from 7 donors, how much money do they collect in total?

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$1365

Explanation

Each donor contributes $195. To find the total amount collected, multiply the number of donors by the amount each contributes.

 

Number of donors = 7  
Contribution per donor = $195  

 

195 × 7 = 1365  

 

The total amount collected is $1365.

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FAQs on Multiples of 195

1.How do you find the multiples of 195?

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2.What is the LCM of 13 and 195?

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3.What are the real-life applications of Multiples of 195?

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4.Are multiples of 195 finite or infinite?

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5.Is there any odd multiples of 195?

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Important Glossary for Multiples of 195

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 195 include 195, 390, 585, 780, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 195 are the numbers that consist of the number pattern of 195.
     
  • Odd number: An odd number refers to any number that cannot be divisible by 2 without leaving any remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. All multiples of 195 are odd numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 13, 15, 39, 65, and 195 are divisors of 195.
     
  • Infinite: In the context of multiples, it refers to the concept that there is no end to the number of multiples a number can have. Multiples of 195 are infinite.
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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