152 LearnersLast updated on May 26th, 2025
Multiples of 308
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 308.
What are the Multiples of 308?
Now, let us learn more about multiples of 308. Multiples of 308 are the numbers you get when you multiply 308 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 308 can be denoted as 308 × 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 308 × 1 will give us 308 as the product. Multiples of 308 will be larger or equal to 308.
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List of First 20 Multiples of 308
Multiples of 308 include the products of 308 and an integer. Multiples of 308 are divisible by 308 evenly. The first few multiples of 308 are given below:
| TABLE OF 308 (1-10) | |
|---|---|
|
308 x 1 = 308 |
308 x 6 = 1848 |
|
308 x 2 = 616 |
308 x 7 = 2156 |
|
308 x 3 = 924 |
308 x 8 = 2464 |
|
308 x 4 = 1232 |
308 x 9 = 2772 |
|
308 x 5 = 1540 |
308 x 10 = 3080 |
| TABLE OF 308 (11-20) | |
|---|---|
|
308 x 11 = 3388 |
308 x 16 = 4928 |
|
308 x 12 = 3696 |
308 x 17 = 5236 |
|
308 x 13 = 4004 |
308 x 18 = 5544 |
|
308 x 14 = 4312 |
308 x 19 = 5852 |
|
308 x 15 = 4620 |
308 x 20 = 6160 |
Now, we know the first few multiples of 308. They are 0, 308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080,...
Operations with Multiples of 308
Understanding the multiples of 308 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 308, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 308:
308, 616, 924, 1232, and 1540 are the first five multiples of 308. When multiplying 308 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
308 + 616 + 924 + 1232 + 1540 = 4620
When we add the first 5 multiples of 308, the answer will be 4620.
Subtraction of first 5 Multiples of 308:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 308, 616, 924, 1232, and 1540 are the first five multiples of 308. So, let us calculate it as given below:
308 - 616 = -308
-308 - 924 = -1232
-1232 - 1232 = -2464
-2464 - 1540 = -4004
Hence, the result of subtracting the first 5 multiples of 308 is -4004.
Average of first 5 Multiples of 308:
To calculate the average, we need to identify the sum of the first 5 multiples of 308, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. We know the sum of the first 5 multiples of 308 is 4620.
308 + 616 + 924 + 1232 + 1540 = 4620
Next, divide the sum by 5:
4620 ÷ 5 = 924
924 is the average of the first 5 multiples of 308.
Product of First 5 Multiples of 308:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 308 include: 308, 616, 924, 1232, and 1540. Now, the product of these numbers is:
308 × 616 × 924 × 1232 × 1540 = 1,082,360,339,200
The product of the first 5 multiples of 308 is 1,082,360,339,200.
Division of First 5 Multiples of 308:
While we perform division, we get to know how many times 308 can fit into each of the given multiples. 308, 616, 924, 1232, and 1540 are the first 5 multiples of 308.
308 ÷ 308 = 1
616 ÷ 308 = 2
924 ÷ 308 = 3
1232 ÷ 308 = 4
1540 ÷ 308 = 5
The results of dividing the first 5 multiples of 308 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 308
While working with multiples of 308, 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 308. 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 308 refer to the products we get while multiplying 308 with other numbers. For example, multiples of 308 include 0, 308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080, etc.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, and 308. When 308 is divided by these numbers, the remainder will be zero.
Factors of 308:
308 ÷ 1 = 308
308 ÷ 2 = 154
308 ÷ 4 = 77
308 ÷ 7 = 44
308 ÷ 11 = 28
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this: Multiples of 308 include 308, 616, 924, 1232, 1540, 1848, etc., up to 3080, 3388, etc.
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 308, the result will still be a multiple of 308. For example, children may write, 308 + 616 = 925, (which is wrong and the correct answer is 924). This is incorrect because 925 is not a multiple of 308. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 308.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 308, and any other number, is zero; it has a valid value. Remember this: 308 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 308 + 308 + 308 + 308 + 308. Instead of adding too many values, use multiplication. Calculate 308 × n for the nth multiple.
For example, instead of 308 + 308 + 308 + 308 + 308, calculate it as given below:
308 × 5 = 1540
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Multiples of 308 Examples
Problem 1
Maya and her team are organizing a charity event where they plan to distribute care packages to families. Each package contains 308 essential items. If they distribute these packages over 6 weekends, how many items will they have distributed in total?
1848 items
Explanation
Each weekend, they distribute packages containing 308 items. To find the total distribution over 6 weekends, multiply 308 by 6.
Items distributed each weekend = 308
Number of weekends = 6
308 × 6 = 1848
They will distribute a total of 1848 items over 6 weekends.
Problem 2
In a textile factory, three different workers are responsible for producing rolls of fabric. They produce rolls in the sequence of the first three multiples of 308. How many rolls does each worker produce?
The first three multiples of 308 are 308, 616, and 924. The workers produce 308, 616, and 924 rolls respectively.
Explanation
The first three multiples of 308 are:
308 × 1 = 308
308 × 2 = 616
308 × 3 = 924
Hence, the first worker produces 308 rolls, the second produces 616 rolls, and the third produces 924 rolls.
Problem 3
In a new housing development, there are 308 houses. Each house has 308 solar panels installed. How many solar panels are there in total?
94,864 solar panels
Explanation
To find the total number of solar panels, count the houses and multiply by the number of panels per house.
Number of houses = 308
Number of panels per house = 308
308 × 308 = 94,864
Therefore, there are a total of 94,864 solar panels installed in the development.
Problem 4
Lila is organizing a series of art workshops. Each workshop can accommodate 308 participants. If she plans to hold 5 workshops, how many participants can attend in total?
1540 participants
Explanation
To find the total number of participants, multiply the number of workshops by the number of participants each workshop can accommodate.
Number of workshops = 5
Number of participants per workshop = 308
5 × 308 = 1540
Thus, a total of 1540 participants can attend all the workshops.
Problem 5
Ethan is setting up a display of collectible cards. The first display case holds 308 cards, the second case holds 616 cards, and the third case holds 924 cards. What is the total number of cards across all three cases?
1848 cards
Explanation
The first display case holds 308 cards, the second holds 616, and the third holds 924. So, the total number of cards is:
308 + 616 + 924 = 1848
Therefore, there are a total of 1848 cards in all three display cases.
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FAQs on Multiples of 308
1.How do you find the multiples of 308?
2.What is the LCM of 7 and 308?
3.What are the real-life applications of Multiples of 308?
4.Are multiples of 308 finite or infinite?
5.Is there any odd multiple of 308?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 308?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 308 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 308?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 308 among early learners in Vietnam?
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Important Glossaries for Multiples of 308
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 308 include 308, 616, 924, 1232, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 308 are the numbers that consist of the number pattern of 308.
- 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 308 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, and 308 are the divisors of 308.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 7 and 308 is 308.
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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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