178 LearnersLast updated on May 26th, 2025
Multiples of 147
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 147.
What are the Multiples of 147?
Now, let us learn more about multiples of 147. Multiples of 147 are the numbers you get when you multiply 147 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 147 can be denoted as 147 × 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 147 × 1 will give us 147 as the product. Multiples of 147 will be larger or equal to 147.
List of First 20 Multiples of 147
Multiples of 147 include the products of 147 and an integer. Multiples of 147 are divisible by 147 evenly. The first few multiples of 147 are given below:
| TABLE OF 147 (1-10) | |
|---|---|
|
147 x 1 = 147 |
147 x 6 = 882 |
|
147 x 2 = 294 |
147 x 7 = 1029 |
|
147 x 3 = 441 |
147 x 8 = 1176 |
|
147 x 4 = 588 |
147 x 9 = 1323 |
|
147 x 5 = 735 |
147 x 10 = 1470 |
| TABLE OF 147 (11-20) | |
|---|---|
|
147 x 11 = 1617 |
147 x 16 = 2352 |
|
147 x 12 = 1764 |
147 x 17 = 2499 |
|
147 x 13 = 1911 |
147 x 18 = 2646 |
|
147 x 14 = 2058 |
147 x 19 = 2793 |
|
147 x 15 = 2205 |
147 x 20 = 2940 |
Now, we know the first few multiples of 147. They are 0, 147, 294, 441, 588, 735, 882, 1029, 1176, 1323, 1470,...
Operations with Multiples of 147
Understanding the multiples of 147 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 147, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 147:
147, 294, 441, 588, and 735 are the first five multiples of 147. When multiplying 147 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
147 + 294 + 441 + 588 + 735 = 2205
When we add the first 5 multiples of 147, the answer will be 2205.
Subtraction of first 5 Multiples of 147:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 147, 294, 441, 588, and 735 are the first five multiples of 147. So, let us calculate it as given below:
147 - 294 = -147
-147 - 441 = -588
-588 - 588 = -1176
-1176 - 735 = -1911
Hence, the result of subtracting the first 5 multiples of 147 is -1911.
Average of first 5 Multiples of 147:
To calculate the average, we need to identify the sum of the first 5 multiples of 147, 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 147 is 2205.
147 + 294 + 441 + 588 + 735 = 2205
Next, divide the sum by 5:
2205 ÷ 5 = 441
441 is the average of the first 5 multiples of 147.
Product of First 5 Multiples of 147:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 147 include: 147, 294, 441, 588, and 735. Now, the product of these numbers is:
147 × 294 × 441 × 588 × 735 = 110,973,078,840
The product of the first 5 multiples of 147 is 110,973,078,840.
Division of First 5 Multiples of 147:
While we perform division, we get to know how many times 147 can fit into each of the given multiples. 147, 294, 441, 588, and 735 are the first 5 multiples of 147.
147 ÷ 147 = 1
294 ÷ 147 = 2
441 ÷ 147 = 3
588 ÷ 147 = 4
735 ÷ 147 = 5
The results of dividing the first 5 multiples of 147 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 147
While working with multiples of 147, 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 147. 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 147 refer to the products we get while multiplying 147 with other numbers. For example, multiples of 147 include 0, 147, 294, 441, 588, 735, 882, 1029, 1176, 1323, 1470,….
The factors of 147 are 1, 3, 7, 21, 49, and 147. When 147 is divided by 1, 3, 7, 21, 49, and 147, the remainder will be zero. These are the factors of 147 meaning that these numbers can divide 147 without any remainder.
Factors of 147:
147 ÷ 1 = 147
147 ÷ 3 = 49
147 ÷ 7 = 21
147 ÷ 21 = 7
147 ÷ 49 = 3
147 ÷ 147 = 1
Multiples of 147 Examples
Problem 1
In a large orchard, trees are planted in rows. Each row has 147 trees. If the orchard expands by adding more rows, how many trees will be in the orchard after 3 years if they add one new row every year?
588 trees
Explanation
Initially, there are 147 trees in one row. Each year, a new row of 147 trees is added. To find the total number of trees after 3 years, we calculate the number of rows and multiply by the number of trees per row.
Initial rows = 1
Additional rows added over 3 years = 3
Total rows after 3 years = 1 + 3 = 4
147 × 4 = 588
There will be 588 trees in the orchard after 3 years.
Problem 2
Three friends, Anya, Ravi, and Tia, decide to donate books to a library following a series of multiples of 147. How many books did each of them donate if they follow the first three multiples of 147?
Anya donated 147 books, Ravi donated 294 books, and Tia donated 441 books.
Explanation
To determine the number of books each friend donated, identify the first three multiples of 147:
147 × 1 = 147
147 × 2 = 294
147 × 3 = 441
Thus, Anya donated 147 books, Ravi donated 294 books, and Tia donated 441 books.
Problem 3
At a factory, there are 147 machines, each producing 147 parts per day. How many parts are produced in total in one day?
21,609 parts
Explanation
To find the total number of parts produced, multiply the number of machines by the number of parts each machine produces per day.
Number of machines = 147
Parts produced per machine per day = 147
147 × 147 = 21,609
Therefore, a total of 21,609 parts are produced in one day.
Problem 4
Nina is organizing a conference with 5 sessions, and each session has 147 attendees. How many attendees are there in total at the conference?
735 attendees
Explanation
To find the total number of attendees, multiply the number of sessions by the number of attendees per session.
Number of sessions = 5
Number of attendees in each session = 147
5 × 147 = 735
So, there are 735 attendees in total at the conference.
Problem 5
Leo has a collection of art pieces. The first gallery room has 147 pieces, the second has 294 pieces, and the third gallery room has 441 pieces. How many art pieces are there in total across all three rooms?
882 art pieces
Explanation
The first gallery room has 147 pieces, the second has 294 pieces, and the third has 441 pieces. To find the total number of art pieces:
147 + 294 + 441 = 882
Therefore, there are 882 art pieces in total across all three rooms.
FAQs on Multiples of 147
1.How do you find the multiples of 147?
2.What is the LCM of 7 and 147?
3.What are the real-life applications of Multiples of 147?
4.Are multiples of 147 finite or infinite?
5.Is there any odd multiple of 147?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 147?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 147 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 147?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 147 among early learners in Vietnam?
Important Glossaries for Multiples of 147
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 147 include 147, 294, 441, 588, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 147 are the numbers that consist of the number pattern of 147.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 147 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 7, 21, 49, and 147 are the divisors of 147.
- Least Common Multiple (LCM): It is the smallest common multiple among two or more numbers. For example, the LCM of 7 and 147 is 147.
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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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