190 LearnersLast updated on May 26th, 2025
Multiples of 104
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 104.
What are the Multiples of 104?
Now, let us learn more about multiples of 104. Multiples of 104 are the numbers you get when you multiply 104 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 104 can be denoted as 104 × 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 104 × 1 will give us 104 as the product. Multiples of 104 will be larger or equal to 104.
List of First 20 Multiples of 104
Multiples of 104 include the products of 104 and an integer. Multiples of 104 are divisible by 104 evenly. The first few multiples of 104 are given below:
Now, we know the first few multiples of 104. They are 0, 104, 208, 312, 416, 520, 624, 728, 832, 936, 1040
| TABLE OF 104 (1-10) | |
|---|---|
|
104 x 1 = 104 |
104 x 6 = 624 |
|
104 x 2 = 208 |
104 x 7 = 728 |
|
104 x 3 = 312 |
104 x 8 = 832 |
|
104 x 4 = 416 |
104 x 9 = 936 |
|
104 x 5 = 520 |
104 x 10 = 1040 |
| TABLE OF 104 (11-20) | |
|---|---|
|
104 x 11 = 1144 |
104 x 16 = 1664 |
|
104 x 12 = 1248 |
104 x 17 = 1768 |
|
104 x 13 = 1352 |
104 x 18 = 1872 |
|
104 x 14 = 1456 |
104 x 19 = 1976 |
|
104 x 15 = 1560 |
104 x 20 = 2080 |
Operations with Multiples of 104
Understanding the multiples of 104 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 104, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 104:
104, 208, 312, 416, and 520 are the first five multiples of 104. When multiplying 104 from 1 to 5 we get these numbers as the products. So, the sum of these multiples is:
104 + 208 + 312 + 416 + 520 = 1560
When we add the first 5 multiples of 104 the answer will be 1560.
Subtraction of first 5 Multiples of 104:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 104, 208, 312, 416, and 520 are the first five multiples of 104. So, let us calculate it as given below:
104 - 208 = -104
-104 - 312 = -416
-416 - 416 = -832
-832 - 520 = -1352
Hence, the result of subtracting the first 5 multiples of 104 is -1352.
Average of first 5 Multiples of 104:
To calculate the average, we need to identify the sum of the first 5 multiples of 104, 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 104 is 1560.
104 + 208 + 312 + 416 + 520 = 1560
Next, divide the sum by 5:
1560 ÷ 5 = 312
312 is the average of the first 5 multiples of 104.
Product of First 5 Multiples of 104:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 104 include: 104, 208, 312, 416, and 520. Now, the product of these numbers is:
104 × 208 × 312 × 416 × 520 = 14,896,892,160
The product of the first 5 multiples of 104 is 14,896,892,160.
Division of First 5 Multiples of 104:
While we perform division, we get to know how many times 104 can fit into each of the given multiples. 104, 208, 312, 416, and 520 are the first 5 multiples of 104.
104 ÷ 104 = 1
208 ÷ 104 = 2
312 ÷ 104 = 3
416 ÷ 104 = 4
520 ÷ 104 = 5
The results of dividing the first 5 multiples of 104 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 104
While working with multiples of 104, 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
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 104. 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 104 refer to the products we get while multiplying 104 with other numbers. For example, multiples of 104 include 0, 104, 208, 312, 416, 520, 624, 728, 832, 936, 1040….
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104. When 104 is divided by these numbers, the remainder will be zero. These are the factors of 104, meaning that these numbers can divide 104 without any remainder.
Factors of 104:
104 ÷ 1 = 104
104 ÷ 2 = 52
104 ÷ 4 = 26
104 ÷ 8 = 13
104 ÷ 13 = 8
104 ÷ 26 = 4
104 ÷ 52 = 2
104 ÷ 104 = 1
Multiples of 104 Examples
Problem 1
Alice and her team are organizing a charity event where they prepare gift bags for guests. Each month, they prepare 104 gift bags, and they plan to continue this for 6 months. How many gift bags will they have prepared in total after the event?
624 gift bags
Explanation
Each month, they prepare 104 gift bags. To find the total number of gift bags prepared after 6 months, we multiply 104 by 6.
Gift bags prepared each month = 104
Number of months = 6
104 × 6 = 624
They will have prepared 624 gift bags after the event.
Problem 2
A group of artists is painting murals on a long wall. They decided to paint sections in the order of the first three multiples of 104. How many sections does each artist complete based on this series?
The first three multiples of 104 are 104, 208, and 312. The first artist completes 104 sections, the second artist completes 208 sections, and the third artist completes 312 sections.
Explanation
Identifying the first three multiples of 104, they are:
104 × 1 = 104
104 × 2 = 208
104 × 3 = 312
Hence, the first artist completes 104 sections, the second artist 208, and the third artist 312.
Problem 3
In a large conference center, there are 104 tables. Each table seats 104 attendees. How many attendees can the conference center accommodate in total
10,816 attendees
Explanation
To find the total number of attendees, we multiply the number of tables by the number of attendees per table.
Number of tables = 104
Number of attendees per table = 104
104 × 104 = 10,816
Therefore, the conference center can accommodate 10,816 attendees in total.
Problem 4
Marcus is stacking boxes in his warehouse. There are 5 stacks of boxes, and each stack contains 104 boxes. How many boxes are there in total?
520 boxes
Explanation
To find the total number of boxes, we multiply the number of stacks by the number of boxes in each stack.
Number of stacks = 5
Number of boxes in each stack = 104
5 × 104 = 520
So, there are 520 boxes in total in the warehouse.
Problem 5
Emily is arranging her music records. She places 104 records on the first shelf, 208 records on the second shelf, and 312 records on the third shelf. How many records are there on all three shelves?
624 records
Explanation
The first shelf has 104 records, the second shelf has 208 records, and the third shelf has 312 records. So, the total number of records is:
104 + 208 + 312 = 624
Therefore, there are a total of 624 records on all three shelves.
FAQs on Multiples of 104
1.How do you find the multiples of 104?
2.What is the LCM of 13 and 104?
3.What are the real-life applications of multiples of 104?
4.Are multiples of 104 finite or infinite?
5.Is there any odd multiple of 104?
Important Glossaries for Multiples of 104
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 104 include 104, 208, 312, 416, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 104 are the numbers that consist of the number pattern of 104.
- 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 104 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, 13, 26, 52, and 104 are the divisors of 104.
- Least Common Multiple (LCM): The smallest number that is a multiple of two or more numbers. For example, the LCM of 13 and 104 is 104.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
