225 LearnersLast updated on May 26th, 2025
Multiples of 588
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 588.
What are the Multiples of 588?
Now, let us learn more about multiples of 588. Multiples of 588 are the numbers you get when you multiply 588 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 588 can be denoted as 588 × 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 588 × 1 will give us 588 as the product. Multiples of 588 will be larger or equal to 588.
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List of First 20 Multiples of 588
Multiples of 588 include the products of 588 and an integer. Multiples of 588 are divisible by 588 evenly. The first few multiples of 588 are given below:
| TABLE OF 588 (1-10) | |
|---|---|
|
588 x 1 = 588 |
588 x 6 = 3528 |
|
588 x 2 = 1176 |
588 x 7 = 4116 |
|
588 x 3 = 1764 |
588 x 8 = 4704 |
|
588 x 4 = 2352 |
588 x 9 = 5292 |
|
588 x 5 = 2940 |
588 x 10 = 5880 |
| TABLE OF 588 (11-20) | |
|---|---|
|
588 x 11 = 6468 |
588 x 16 = 9408 |
|
588 x 12 = 7056 |
588 x 17 = 9996 |
|
588 x 13 = 7644 |
588 x 18 = 10584 |
|
588 x 14 = 8232 |
588 x 19 = 11172 |
|
588 x 15 = 8820 |
588 x 20 = 11760 |
Now, we know the first few multiples of 588. They are 0, 588, 1176, 1764, 2352, 2940, 3528, 4116, 4704, 5292, 5880,...
Operations with Multiples of 588
Understanding the multiples of 588 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 588, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 588:
588, 1176, 1764, 2352, and 2940 are the first five multiples of 588. When multiplying 588 from 1 to 5, we get these numbers as products.
So, the sum of these multiples is:
588 + 1176 + 1764 + 2352 + 2940 = 8820
When we add the first 5 multiples of 588, the answer will be 8820.
Subtraction of first 5 Multiples of 588:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 588, 1176, 1764, 2352, and 2940 are the first five multiples of 588. So, let us calculate it as given below:
588 - 1176 = -588
-588 - 1764 = -2352
-2352 - 2352 = -4704
-4704 - 2940 = -7644
Hence, the result of subtracting the first 5 multiples of 588 is -7644.
Average of first 5 Multiples of 588:
To calculate the average, we need to identify the sum of the first 5 multiples of 588, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 588 is 8820.
588 + 1176 + 1764 + 2352 + 2940 = 8820
Next, divide the sum by 5:
8820 ÷ 5 = 1764
1764 is the average of the first 5 multiples of 588.
Product of First 5 Multiples of 588:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 588 include: 588, 1176, 1764, 2352, and 2940. Now, the product of these numbers is:
588 × 1176 × 1764 × 2352 × 2940 = 2,580,270,489,600
The product of the first 5 multiples of 588 is 2,580,270,489,600.
Division of First 5 Multiples of 588:
While we perform division, we get to know how many times 588 can fit into each of the given multiples. 588, 1176, 1764, 2352, and 2940 are the first 5 multiples of 588.
588 ÷ 588 = 1
1176 ÷ 588 = 2
1764 ÷ 588 = 3
2352 ÷ 588 = 4
2940 ÷ 588 = 5
The results of dividing the first 5 multiples of 588 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 588
While working with multiples of 588, 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 588. 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 588 refer to the products we get while multiplying 588 with other numbers. For example, multiples of 588 include 0, 588, 1176, 1764, 2352, 2940, 3528, 4116, 4704, 5292, 5880….
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. When 588 is divided by any of these factors, the remainder will be zero. These are the factors of 588, meaning these numbers can divide 588 without any remainder.
Factors of 588:
588 ÷ 1 = 588
588 ÷ 2 = 294
588 ÷ 3 = 196
588 ÷ 4 = 147
588 ÷ 6 = 98
588 ÷ 7 = 84
... (and so on)
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Sometimes multiples are skipped when writing them, leading to confusion and errors in sequence. To clearly understand the issue, take a look at this:
Multiples of 588 include 588, 1176, 1764, 2352, 2940, 3528, … 5880, 6468,...
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 588, the result will still be a multiple of 588. For example, one may write,
588 + 1176 = 1700 (which is wrong and the correct answer is 1764)
This is incorrect because 1700 is not a multiple of 588. The same applies to subtraction. Ensure that the results are multiples of 588.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 588, and any other number, is zero. Remember this:
588 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, one may incorrectly add 588 + 588 + 588 + 588 + 588. Instead of adding too many values, use multiplication. Calculate 588 × n for the nth multiple.
For example, instead of 588 + 588 + 588 + 588 + 588, calculate it as given below:
588 × 5 = 2940
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Multiples of 588 Examples
Problem 1
A music store receives a shipment of 588 vinyl records every month. Over the course of 6 months, how many vinyl records will the store have received?
3,528 vinyl records
Explanation
The store receives 588 records each month. To find out the total number of records received over 6 months, we multiply 588 by 6.
Records received each month = 588
Number of months = 6
588 × 6 = 3,528
Therefore, the store will have received 3,528 vinyl records after 6 months.
Problem 2
A printing company prints posters in batches of 588. If three different designs are printed, each in multiples of 588, how many posters of each design are printed?
The first three multiples of 588 are 588, 1,176, and 1,764. Therefore, the three designs are printed in quantities of 588, 1,176, and 1,764 posters respectively.
Explanation
We identify the first three multiples of 588:
588 × 1 = 588
588 × 2 = 1,176
588 × 3 = 1,764
Thus, the three different designs are printed in quantities of 588, 1,176, and 1,764 posters.
Problem 3
A large conference hall has 588 chairs arranged in rows. If each row contains 12 chairs, how many rows are there in total?
49 rows
Explanation
To find the number of rows, we divide the total number of chairs by the number of chairs per row.
Total number of chairs = 588
Number of chairs per row = 12
588 ÷ 12 = 49
Therefore, there are 49 rows of chairs in the conference hall.
Problem 4
An art gallery is organizing paintings for an exhibit. The gallery manager decides to display paintings in groups of 588. If there are 5 such groups, how many paintings are there in total?
2,940 paintings
Explanation
To find the total number of paintings, we multiply the number of paintings in each group by the number of groups.
Paintings in each group = 588
Number of groups = 5
588 × 5 = 2,940
So, there are 2,940 paintings in total for the exhibit.
Problem 5
A factory produces 588 widgets every day. If the production continues for 7 days, how many widgets are produced at the end of the week?
4,116 widgets
Explanation
To find the total number of widgets produced in a week, we multiply the daily production by the number of days.
Widgets produced each day = 588
Number of days = 7
588 × 7 = 4,116
Therefore, a total of 4,116 widgets are produced by the end of the week.
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FAQs on Multiples of 588
1.How do you find the multiples of 588?
2.What are the real-life applications of Multiples of 588?
3.Are multiples of 588 finite or infinite?
4.Is there any odd multiple of 588?
5.Are multiples of 588 divisible by 3?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 588?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 588 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 588?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 588 among early learners in United States?
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Important Glossaries for Multiples of 588
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 588 include 588, 1176, 1764, 2352, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 588 are the numbers that consist of the number pattern of 588.
- 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 588 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, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588 are the divisors of 588.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each of the numbers. For example, the LCM of 7 and 8 is 56.
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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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