104 LearnersLast updated on May 26th, 2025
Multiples of 304
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 304.
What are the Multiples of 304?
Now, let us learn more about multiples of 304. Multiples of 304 are the numbers you get when you multiply 304 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 304 can be denoted as 304 × 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 304 × 1 will give us 304 as the product. Multiples of 304 will be larger or equal to 304.
List of First 20 Multiples of 304
Multiples of 304 include the products of 304 and an integer. Multiples of 304 are divisible by 304 evenly. The first few multiples of 304 are given below:
| TABLE OF 304 (1-10) | |
|---|---|
|
304 x 1 = 304 |
304 x 6 = 1824 |
|
304 x 2 = 608 |
304 x 7 = 2128 |
|
304 x 3 = 912 |
304 x 8 = 2432 |
|
304 x 4 = 1216 |
304 x 9 = 2736 |
|
304 x 5 = 1520 |
304 x 10 = 3040 |
| TABLE OF 304 (11-20) | |
|---|---|
|
304 x 11 = 3344 |
304 x 16 = 4864 |
|
304 x 12 = 3648 |
304 x 17 = 5168 |
|
304 x 13 = 3952 |
304 x 18 = 5472 |
|
304 x 14 = 4256 |
304 x 19 = 5776 |
|
304 x 15 = 4560 |
304 x 20 = 6080 |
Now, we know the first few multiples of 304. They are, 0, 304, 608, 912, 1216, 1520, 1824, 2128, 2432, 2736, 3040,...
Operations with Multiples of 304
Understanding the multiples of 304 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 304, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 304
304, 608, 912, 1216, and 1520 are the first five multiples of 304. When multiplying 304 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
304 + 608 + 912 + 1216 + 1520 = 4560
When we add the first 5 multiples of 304, the answer will be 4560.
Subtraction of First 5 Multiples of 304
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 304, 608, 912, 1216, and 1520 are the first five multiples of 304. So, let us calculate it as given below:
304 - 608 = -304
-304 - 912 = -1216
-1216 - 1216 = -2432
-2432 - 1520 = -3952
Hence, the result of subtracting the first 5 multiples of 304 is -3952.
Average of First 5 Multiples of 304
To calculate the average, we need to identify the sum of the first 5 multiples of 304, 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 304 is 4560.
304 + 608 + 912 + 1216 + 1520 = 4560
Next, divide the sum by 5:
4560 ÷ 5 = 912
912 is the average of the first 5 multiples of 304.
Product of First 5 Multiples of 304
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 304 include: 304, 608, 912, 1216, and 1520. Now, the product of these numbers is:
304 × 608 × 912 × 1216 × 1520 = 388,893,427,712,000
The product of the first 5 multiples of 304 is 388,893,427,712,000.
Division of First 5 Multiples of 304
While we perform division, we get to know how many times 304 can fit into each of the given multiples. 304, 608, 912, 1216, and 1520 are the first 5 multiples of 304.
304 ÷ 304 = 1
608 ÷ 304 = 2
912 ÷ 304 = 3
1216 ÷ 304 = 4
1520 ÷ 304 = 5
The results of dividing the first 5 multiples of 304 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 304
While working with Multiples of 304, 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 304. 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 304 refer to the products we get while multiplying 304 with other numbers. For example, multiples of 304 include 0, 304, 608, 912, 1216, 1520, 1824, 2128, 2432, 2736, 3040….
The factors of 304 are 1, 2, 4, 8, 19, 38, 76, 152, and 304. When 304 is divided by these numbers, the remainder will be zero.
Factors of 304:
304 ÷ 1 = 304
304 ÷ 2 = 152
304 ÷ 4 = 76
304 ÷ 8 = 38
304 ÷ 19 = 16
304 ÷ 38 = 8
304 ÷ 76 = 4
304 ÷ 152 = 2
304 ÷ 304 = 1
Multiples of 304 Examples
Problem 1
In a large warehouse, crates are stacked in sets of 304. Each week, a shipment arrives with crates stacked in this same pattern. If the shipments continue arriving weekly for 6 weeks, how many crates will the warehouse have received in total?
1,824 crates
Explanation
Each week, the warehouse receives 304 crates. To find the total number of crates after 6 weeks, multiply 304 by 6.
Crates per week = 304
Number of weeks = 6
304 × 6 = 1,824
The warehouse will have received a total of 1,824 crates after 6 weeks.
Problem 2
In a botanical garden, different sections are planted following the sequence of the first three multiples of 304. How many plants are there in each section if the first, second, and third sections follow this sequence?
The first three multiples of 304 are 304, 608, and 912.
Explanation
We find the first three multiples of 304 as follows:
304 × 1 = 304
304 × 2 = 608
304 × 3 = 912
Therefore, the first section has 304 plants, the second has 608 plants, and the third has 912 plants.
Problem 3
In a manufacturing plant, boxes of components are organized in groups of 304. Each assembly line produces 304 boxes. How many boxes are produced in total when there are 5 assembly lines running simultaneously?
1,520 boxes
Explanation
To find the total number of boxes produced, multiply the number of assembly lines by the number of boxes each produces:
Number of assembly lines = 5
Boxes per assembly line = 304
5 × 304 = 1,520
Therefore, a total of 1,520 boxes are produced.
Problem 4
A library is stocking new shelves. Each shelf can hold 304 books. If there are 10 new shelves, how many books can the library hold in total on these shelves?
3,040 books
Explanation
To find the total capacity of the new shelves, multiply the number of shelves by the number of books each can hold:
Number of shelves = 10
Books per shelf = 304
10 × 304 = 3,040
Thus, the library can hold a total of 3,040 books on the new shelves.
Problem 5
During a charity event, gift bags are prepared with 304 items each. If a total of 7 gift bags are distributed, how many items are distributed in total?
2,128 items
Explanation
To find the total number of items distributed, multiply the number of gift bags by the number of items in each:
Number of gift bags = 7
Items per bag = 304
7 × 304 = 2,128
Therefore, a total of 2,128 items are distributed during the event.
FAQs on Multiples of 304
1.How do you find the multiples of 304?
2.What is the LCM of 19 and 304?
3.What are the real-life applications of Multiples of 304?
4.Are multiples of 304 finite or infinite?
5.Is there any odd multiple of 304?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 304?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 304 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 304?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 304 among early learners in United States?
Important Glossaries for Multiples of 304
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 304 include 304, 608, 912, 1216, etc.
- Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 304 are the numbers that consist of the number pattern of 304.
- 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 304 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, 19, 38, 76, 152, and 304 are the divisors of 304.
- LCM (Least Common Multiple): The smallest positive integer that is divisible by each of the given numbers. For example, the LCM of 19 and 304 is 304.
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Seyed Ali Fathima S
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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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