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Last updated on March 28th, 2025

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Multiples of 504

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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 504.

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What are the Multiples of 504?

Now, let us learn more about multiples of 504. Multiples of 504 are the numbers you get when you multiply 504 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 504 can be denoted as 504 × 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 504 × 1 will give us 504 as the product.

 

Multiples of 504 will be larger or equal to 504.

multiples of 504

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List of First 20 Multiples of 504

Multiples of 504 include the products of 504 and an integer. Multiples of 504 are divisible by 504 evenly. The first few multiples of 504 are given below: 

 

TABLE OF 504 (1-10)

504 x 1 = 504

504 x 6 = 3024

504 x 2 = 1008

504 x 7 = 3528

504 x 3 = 1512

504 x 8 = 4032

504 x 4 = 2016

504 x 9 = 4536

504 x 5 = 2520

504 x 10 = 5040

 

 

TABLE OF 504 (11-20)

504 x 11 = 5544

504 x 16 = 8064

504 x 12 = 6048

504 x 17 = 8568

504 x 13 = 6552

504 x 18 = 9072

504 x 14 = 7056

504 x 19 = 9576

504 x 15 = 7560

504 x 20 = 10080

 

Now, we know the first few multiples of 504. They are 0, 504, 1008, 1512, 2016, 2520, 3024, 3528, 4032, 4536, 5040,...

 

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Operations with Multiples of 504

Understanding the multiples of 504 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 504, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 504:

 

504, 1008, 1512, 2016, and 2520 are the first five multiples of 504.

 

When multiplying 504 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:  


504 + 1008 + 1512 + 2016 + 2520 = 7560  


When we add the first 5 multiples of 504, the answer will be 7560.

 

Subtraction of first 5 Multiples of 504:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 504, 1008, 1512, 2016, and 2520 are the first five multiples of 504. So, let us calculate it as given below:  


504 - 1008 = -504  
-504 - 1512 = -2016  
-2016 - 2016 = -4032  
-4032 - 2520 = -6552  


Hence, the result of subtracting the first 5 multiples of 504 is -6552.

 

Average of first 5 Multiples of 504:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 504, 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 504 is 7560.  


504 + 1008 + 1512 + 2016 + 2520 = 7560  


Next, divide the sum by 5:  


7560 ÷ 5 = 1512  


1512 is the average of the first 5 multiples of 504.

 

Product of First 5 Multiples of 504:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 504 include: 504, 1008, 1512, 2016, and 2520. Now, the product of these numbers is:  


504 × 1008 × 1512 × 2016 × 2520 = 3,870,373,806,080,000  


The product of the first 5 multiples of 504 is 3,870,373,806,080,000.

 

Division of First 5 Multiples of 504:

 

While we perform division, we get to know how many times 504 can fit into each of the given multiples. 504, 1008, 1512, 2016, and 2520 are the first 5 multiples of 504.  


504 ÷ 504 = 1  
1008 ÷ 504 = 2  
1512 ÷ 504 = 3  
2016 ÷ 504 = 4  
2520 ÷ 504 = 5  


The results of dividing the first 5 multiples of 504 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 504

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Multiples of 504 Examples

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Problem 1

Amara is organizing a marathon event where each participant receives a goodie bag containing 504 energy bars. If 10 groups participate and each group contains an equal number of participants, how many energy bars are needed in total?

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Explanation

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Problem 2

Sanjay is creating art installations with glass tiles. He uses tiles in the order of the first three multiples of 504 for his first three installations. How many tiles does each installation require based on this series?

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Explanation

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Problem 3

In Harmony High School, there are 9 clubs. Each club is allotted 504 minutes of practice time per week. How many total minutes of practice time are allocated to all clubs each week?

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Explanation

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Problem 4

Leah is stocking her pantry with canned goods. She organizes them in 7 stacks, with each stack containing 504 cans. How many cans are there in total in the pantry?

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Explanation

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Problem 5

Rohan is creating a seating arrangement for a wedding. He organizes the seats such that the first row has 504 seats, the second row has 1,008 seats, and the third row has 1,512 seats. How many seats are there in total in the arrangement?

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Explanation

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FAQs on Multiples of 504

1.How do you find the multiples of 504?

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2.What is the LCM of 7 and 504?

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3.What are the real-life applications of Multiples of 504?

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4.Are multiples of 504 finite or infinite?

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5.Is there any odd multiples of 504?

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Important Glossary for Multiples of 504

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 504 include 504, 1008, 1512, 2016, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 504 are the numbers that consist of the number pattern of 504.

 

  • 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 504 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 7, and 8, among others, are the divisors of 504.

 

  • LCM (Least Common Multiple): The smallest multiple that two or more numbers share. For example, the LCM of 7 and 504 is 504.
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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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