129 LearnersLast updated on May 26th, 2025
Multiples of 352
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 352.
What are the Multiples of 352?
Now, let us learn more about multiples of 352. Multiples of 352 are the numbers you get when you multiply 352 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 352 can be denoted as 352 × 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 352 × 1 will give us 352 as the product. Multiples of 352 will be larger or equal to 352.
List of First 20 Multiples of 352
Multiples of 352 include the products of 352 and an integer. Multiples of 352 are divisible by 352 evenly. The first few multiples of 352 are given below:
| TABLE OF 352 (1-10) | |
|---|---|
|
352 x 1 = 352 |
352 x 6 = 2112 |
|
352 x 2 = 704 |
352 x 7 = 2464 |
|
352 x 3 = 1056 |
352 x 8 = 2816 |
|
352 x 4 = 1408 |
352 x 9 = 3168 |
|
352 x 5 = 1760 |
352 x 10 = 3520 |
| TABLE OF 352 (11-20) | |
|---|---|
|
352 x 11 = 3872 |
352 x 16 = 5632 |
|
352 x 12 = 4224 |
352 x 17 = 5984 |
|
352 x 13 = 4576 |
352 x 18 = 6336 |
|
352 x 14 = 4928 |
352 x 19 = 6688 |
|
352 x 15 = 5280 |
352 x 20 = 7040 |
Now, we know the first few multiples of 352. They are 0, 352, 704, 1056, 1408, 1760, 2112, 2464, 2816, 3168, 3520,...
Operations with Multiples of 352
Understanding the multiples of 352 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 352, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 352
352, 704, 1056, 1408, and 1760 are the first five multiples of 352. When multiplying 352 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
352 + 704 + 1056 + 1408 + 1760 = 5280
When we add the first 5 multiples of 352, the answer will be 5280.
Subtraction of First 5 Multiples of 352
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 352, 704, 1056, 1408, and 1760 are the first five multiples of 352. So, let us calculate it as given below:
352 - 704 = -352
-352 - 1056 = -1408
-1408 - 1408 = -2816
-2816 - 1760 = -4576
Hence, the result of subtracting the first 5 multiples of 352 is -4576.
Average of First 5 Multiples of 352
To calculate the average, we need to identify the sum of the first 5 multiples of 352, 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 352 is 5280.
352 + 704 + 1056 + 1408 + 1760 = 5280
Next, divide the sum by 5:
5280 ÷ 5 = 1056
1056 is the average of the first 5 multiples of 352.
Product of First 5 Multiples of 352
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 352 include: 352, 704, 1056, 1408, and 1760. Now, the product of these numbers is:
352 × 704 × 1056 × 1408 × 1760 = 1,886,809,088,000
The product of the first 5 multiples of 352 is 1,886,809,088,000.
Division of First 5 Multiples of 352
While we perform division, we get to know how many times 352 can fit into each of the given multiples. 352, 704, 1056, 1408, and 1760 are the first 5 multiples of 352.
352 ÷ 352 = 1
704 ÷ 352 = 2
1056 ÷ 352 = 3
1408 ÷ 352 = 4
1760 ÷ 352 = 5
The results of dividing the first 5 multiples of 352 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 352
While working with multiples of 352, 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 352. 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 352 refer to the products we get while multiplying 352 with other numbers. For example, multiples of 352 include 0, 352, 704, 1056, 1408, 1760, 2112, 2464, 2816, 3168, 3520….
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, and 352. When 352 is divided by these numbers, the remainder will be zero. These are the factors of 352 meaning that these numbers can divide 352 without any remainder.
Factors of 352:
352 ÷ 1 = 352
352 ÷ 2 = 176
352 ÷ 4 = 88
352 ÷ 8 = 44
352 ÷ 11 = 32
352 ÷ 16 = 22
352 ÷ 32 = 11
352 ÷ 44 = 8
352 ÷ 88 = 4
352 ÷ 176 = 2
352 ÷ 352 = 1
Multiples of 352 Examples
Problem 1
A factory produces bicycles in batches, with each batch containing 352 bicycles. If the factory produces 3 batches each week, how many bicycles will they produce in 5 weeks?
5,280 bicycles
Explanation
To find the total number of bicycles produced, multiply the number of bicycles in one batch by the number of batches produced over 5 weeks.
Bicycles per batch = 352
Batches per week = 3
Number of weeks = 5
352 × 3 × 5 = 5,280
Therefore, the factory will produce 5,280 bicycles in 5 weeks.
Problem 2
Emma is organizing a charity run and wants to distribute medals. She has 352 medals and plans to give them out in groups to the top 4 finishers in each age category. How many age categories can she cover if each athlete in the top 4 receives a medal?
22 age categories
Explanation
Each age category requires 4 medals (one for each top finisher). To find the number of age categories Emma can cover, divide the total number of medals by the number of medals needed per category.
Medals available = 352
Medals per age category = 4
352 ÷ 4 = 88
Therefore, Emma can cover 88 age categories.
Problem 3
A large auditorium has 352 seats in each row. If there are 10 rows in the auditorium, how many seats are there in total?
3,520 seats
Explanation
To find the total number of seats in the auditorium, multiply the number of seats per row by the number of rows.
Seats per row = 352
Number of rows = 10
352 × 10 = 3,520
Therefore, the auditorium has a total of 3,520 seats.
Problem 4
A school is organizing a field trip and rents buses. Each bus can carry 352 students. If 7 buses are needed, how many students are going on the trip?
2,464 students
Explanation
To find the total number of students going on the trip, multiply the number of students each bus can carry by the number of buses.
Students per bus = 352
Number of buses = 7
352 × 7 = 2,464
Therefore, 2,464 students are going on the trip.
Problem 5
Liam is creating gift baskets for a charity event. Each basket contains 352 items. If he makes 6 gift baskets, how many items does he use in total?
2,112 items
Explanation
To find the total number of items used, multiply the number of items per basket by the number of baskets.
Items per basket = 352
Number of baskets = 6
352 × 6 = 2,112
Therefore, Liam uses a total of 2,112 items for the gift baskets.
FAQs on Multiples of 352
1.How do you find the multiples of 352?
2.What is the LCM of 11 and 352?
3.What are the real-life applications of Multiples of 352?
4.Are multiples of 352 finite or infinite?
5.Is there any odd multiple of 352?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 352?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 352 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 352?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 352 among early learners in Vietnam?
Important Glossaries for Multiples of 352
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 352 include 352, 704, 1056, 1408, etc.
- Number Pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 352 are the numbers that consist of the number pattern of 352.
- 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 352 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, and 352 are the divisors of 352.
- LCM (Least Common Multiple): It is the smallest number that is a multiple of two or more numbers. For example, the LCM of 11 and 352 is 352.
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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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