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Last updated on February 12th, 2025

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Multiples of 51

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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 51.

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What are the Multiples of 51?

Now, let us learn more about multiples of 51. Multiples of 51 are the numbers you get when you multiply 51 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 51 can be denoted as 51 × 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 51 × 1 will give us 51 as the product.

 

Multiples of 51 will be larger or equal to 51.

Multiples of 51

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List of First 20 Multiples of 51

Multiples of 51 include the products of 51 and an integer. Multiples of 51 are divisible by 51 evenly. The first few multiples of 51 are given below: 

 

TABLE OF 51 (1-10)

51 x 1 = 51

51 x 6 = 306

51 x 2 = 102

51 x 7 = 357

51 x 3 = 153

51 x 8 = 408

51 x 4 = 204

51 x 9 = 459

51 x 5 = 255

51 x 10 = 510

 

 

TABLE OF 51 (11-20)

51 x 11 = 561

51 x 16 = 816

51 x 12 = 612

51 x 17 = 867

51 x 13 = 663

51 x 18 = 918

51 x 14 = 714

51 x 19 = 969

51 x 15 = 765

51 x 20 = 1020

 

Now, we know the first few multiples of 51. They are 0, 51, 102, 153, 204, 255, 306, 357, 408, 459, 510,...
 

 

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Operations with Multiples of 51

Understanding the multiples of 51 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 51, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 51:

 

51, 102, 153, 204, and 255 are the first five multiples of 51. When multiplying 51 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  


51 + 102 + 153 + 204 + 255 = 765  


When we add the first 5 multiples of 51, the answer will be 765.

 

Subtraction of First 5 Multiples of 51:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 51, 102, 153, 204, and 255 are the first five multiples of 51. So, let us calculate it as given below:  


51 - 102 = -51  
-51 - 153 = -204  
-204 - 204 = -408  
-408 - 255 = -663  


Hence, the result of subtracting the first 5 multiples of 51 is -663.

 

Average of First 5 Multiples of 51:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 51 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 51 is 765.  


51 + 102 + 153 + 204 + 255 = 765  


Next, divide the sum by 5:  


765 ÷ 5 = 153  


153 is the average of the first 5 multiples of 51.

 

Product of First 5 Multiples of 51:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 51 include: 51, 102, 153, 204, and 255. Now, the product of these numbers is:  


51 × 102 × 153 × 204 × 255 = 408,492,420  


The product of the first 5 multiples of 51 is 408,492,420.

 

Division of First 5 Multiples of 51:

 

While we perform division, we get to know how many times 51 can fit into each of the given multiples. 51, 102, 153, 204, and 255 are the first 5 multiples of 51.  


51 ÷ 51 = 1  
102 ÷ 51 = 2  
153 ÷ 51 = 3  
204 ÷ 51 = 4  
255 ÷ 51 = 5    


The results of dividing the first 5 multiples of 51 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 51

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Multiples of 51 Examples

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Problem 1

A group of artists is creating a mural composed of small tiles. Each artist contributes 51 tiles. If there are 6 artists working on the mural, how many tiles will they have in total?

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Explanation

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Problem 2

In a music festival, each set performed by a band lasts 51 minutes. If three bands perform consecutively, what is the total duration of the music played?

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Explanation

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Problem 3

A warehouse stores crates of oranges. Each crate holds 51 oranges. If there are 4 stacks of crates and each stack has 4 crates, how many oranges are there in total?

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Explanation

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Problem 4

A factory produces gadgets in batches. Each batch contains 51 gadgets. If the factory produces 7 batches in a week, how many gadgets are produced in total?

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Explanation

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Problem 5

In a library, each section contains 51 books. If there are 5 sections in the library, how many books are there in total?

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Explanation

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FAQs on Multiples of 51

1.How do you find the multiples of 51?

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2.What is the LCM of 17 and 51?

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3.What are the real-life applications of Multiples of 51?

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4.Are multiples of 51 finite or infinite?

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5.Is there any odd multiples of 51?

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Important Glossaries for Multiples of 51

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 51 include 51, 102, 153, 204, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 51 are the numbers that consist of the number pattern of 51.

 

  • Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 51 are odd numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 17, and 51 are the divisors of 51.

 

  • LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 17 and 51 is 51.
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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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