109 LearnersLast updated on May 26th, 2025
Multiples of 351
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 351.
What are the Multiples of 351?
Now, let us learn more about multiples of 351. Multiples of 351 are the numbers you get when you multiply 351 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 351 can be denoted as 351 × 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 351 × 1 will give us 351 as the product. Multiples of 351 will be larger or equal to 351.
List of First 20 Multiples of 351
Multiples of 351 include the products of 351 and an integer. Multiples of 351 are divisible by 351 evenly. The first few multiples of 351 are given below:
| TABLE OF 351 (1-10) | |
|---|---|
|
351 x 1 = 351 |
351 x 6 = 2106 |
|
351 x 2 = 702 |
351 x 7 = 2457 |
|
351 x 3 = 1053 |
351 x 8 = 2808 |
|
351 x 4 = 1404 |
351 x 9 = 3159 |
|
351 x 5 = 1755 |
351 x 10 = 3510 |
| TABLE OF 351 (11-20) | |
|---|---|
|
351 x 11 = 3861 |
351 x 16 = 5616 |
|
351 x 12 = 4212 |
351 x 17 = 5967 |
|
351 x 13 = 4563 |
351 x 18 = 6318 |
|
351 x 14 = 4914 |
351 x 19 = 6669 |
|
351 x 15 = 5265 |
351 x 20 = 7020 |
Now, we know the first few multiples of 351. They are 0, 351, 702, 1053, 1404, 1755, 2106, 2457, 2808, 3169, 3510,...
Operations with Multiples of 351
Understanding the multiples of 351 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 351, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 351:
351, 702, 1053, 1404, and 1755 are the first five multiples of 351. When multiplying 351 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
351 + 702 + 1053 + 1404 + 1755 = 5265
When we add the first 5 multiples of 351, the answer will be 5265.
Subtraction of first 5 Multiples of 351:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 351, 702, 1053, 1404, and 1755 are the first five multiples of 351. So, let us calculate it as given below:
351 - 702 = -351
-351 - 1053 = -1404
-1404 - 1404 = -2808
-2808 - 1755 = -4563
Hence, the result of subtracting the first 5 multiples of 351 is -4563.
Average of first 5 Multiples of 351:
To calculate the average, we need to identify the sum of the first 5 multiples of 351, 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 351 is 5265.
351 + 702 + 1053 + 1404 + 1755 = 5265
Next, divide the sum by 5:
5265 ÷ 5 = 1053
1053 is the average of the first 5 multiples of 351.
Product of First 5 Multiples of 351:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 351 include: 351, 702, 1053, 1404, and 1755. Now, the product of these numbers is:
351 × 702 × 1053 × 1404 × 1755
Due to the large size of these numbers, the exact product can be calculated using a calculator or computing tool.
Division of First 5 Multiples of 351:
While we perform division, we get to know how many times 351 can fit into each of the given multiples. 351, 702, 1053, 1404, and 1755 are the first 5 multiples of 351.
351 ÷ 351 = 1
702 ÷ 351 = 2
1053 ÷ 351 = 3
1404 ÷ 351 = 4
1755 ÷ 351 = 5
The results of dividing the first 5 multiples of 351 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 351
While working with multiples of 351, 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 351. 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 351 refer to the products we get while multiplying 351 with other numbers. For example, multiples of 351 include 0, 351, 702, 1053, 1404, 1755, 2106, 2457, 2808, 3169, 3510,….
The factors of 351 are 1, 3, 9, 39, 117, and 351. When 351 is divided by these numbers, the remainder will be zero. These are the factors of 351 meaning that these numbers can divide 351 without any remainder.
Factors of 351:
351 ÷ 1 = 351
351 ÷ 3 = 117
351 ÷ 9 = 39
351 ÷ 39 = 9
351 ÷ 117 = 3
351 ÷ 351 = 1
Multiples of 351 Examples
Problem 1
A community center hosts weekly workshops, and each workshop accommodates 351 participants. If the community center runs these workshops every week for 6 weeks, how many participants in total will have attended the workshops?
2106 participants
Explanation
Each week, 351 participants attend a workshop. Over 6 weeks, the total number of participants is calculated by multiplying the number of participants per week by the number of weeks.
Participants per week = 351
Number of weeks = 6
351 × 6 = 2106
Therefore, 2106 participants will have attended the workshops over the 6 weeks.
Problem 2
In a large art exhibition, the artworks are displayed in sections, and each section showcases a collection of the first three multiples of 351. How many artworks are displayed in each section?
351, 702, and 1053 artworks
Explanation
To find the number of artworks in each section, we identify the first three multiples of 351.
351 × 1 = 351
351 × 2 = 702
351 × 3 = 1053
Hence, each section displays 351, 702, and 1053 artworks.
Problem 3
A printing company is producing batches of brochures. Each batch contains 351 brochures. If the company produces 9 batches, how many brochures do they produce in total?
3159 brochures
Explanation
To find the total number of brochures, multiply the number of brochures per batch by the number of batches.
Brochures per batch = 351
Number of batches = 9
351 × 9 = 3159
Therefore, the company produces a total of 3159 brochures.
Problem 4
A sports event awards medals to participants in groups, each group consisting of 351 medals. If there are 4 groups, how many medals are awarded in total?
1404 medals
Explanation
Multiply the number of medals in each group by the number of groups to find the total number of medals awarded.
Medals per group = 351
Number of groups = 4
351 × 4 = 1404
Thus, a total of 1404 medals are awarded.
Problem 5
A library is organizing weekly reading sessions, and each session can host 351 people. If the library plans these sessions for 8 weeks, how many people can participate in total?
2808 people
Explanation
To calculate the total number of participants over 8 weeks, multiply the number of people per session by the number of weeks.
People per session = 351
Number of weeks = 8
351 × 8 = 2808
Therefore, 2808 people can participate in the sessions over the 8 weeks.
FAQs on Multiples of 351
1.How do you find the multiples of 351?
2.What is the LCM of 7 and 351?
3.What are the real-life applications of Multiples of 351?
4.Are multiples of 351 finite or infinite?
5.Is there any odd multiples of 351?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 351?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 351 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 351?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 351 among early learners in Vietnam?
Important Glossaries for Multiples of 351
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 351 include 351, 702, 1053, 1404, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 351 are the numbers that consist of the number pattern of 351.
- Odd number: An odd number is any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 351 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 9, 39, 117, and 351 are the divisors of 351.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 7 and 351 is 2457.
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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.
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