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104 LearnersLast updated on March 28th, 2025
Multiples of 163
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 163.
What are the Multiples of 163?
Now, let us learn more about multiples of 163. Multiples of 163 are the numbers you get when you multiply 163 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 163 can be denoted as 163 × 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 163 × 1 will give us 163 as the product. Multiples of 163 will be larger or equal to 163.
List of First 20 Multiples of 163
Multiples of 163 include the products of 163 and an integer. Multiples of 163 are divisible by 163 evenly. The first few multiples of 163 are given below:
| TABLE OF 163 (1-10) | |
|---|---|
|
163 x 1 = 163 |
163 x 6 = 978 |
|
163 x 2 = 326 |
163 x 7 = 1141 |
|
163 x 3 = 489 |
163 x 8 = 1304 |
|
163 x 4 = 652 |
163 x 9 = 1467 |
|
163 x 5 = 815 |
163 x 10 = 1630 |
| TABLE OF 163 (11-20) | |
|---|---|
|
163 x 11 = 1793 |
163 x 16 = 2608 |
|
163 x 12 = 1956 |
163 x 17 = 2771 |
|
163 x 13 = 2119 |
163 x 18 = 2934 |
|
163 x 14 = 2282 |
163 x 19 = 3097 |
|
163 x 15 = 2445 |
163 x 20 = 3260 |
Now, we know the first few multiples of 163. They are 0, 163, 326, 489, 652, 815, 978, 1141, 1304, 1467, 1630,...
Operations with Multiples of 163
Understanding the multiples of 163 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 163, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 163:
163, 326, 489, 652, and 815 are the first five multiples of 163. When multiplying 163 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
163 + 326 + 489 + 652 + 815 = 2445
When we add the first 5 multiples of 163, the answer will be 2445.
Subtraction of first 5 Multiples of 163:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 163, 326, 489, 652, and 815 are the first five multiples of 163. So, let us calculate it as given below:
163 - 326 = -163
-163 - 489 = -652
-652 - 652 = -1304
-1304 - 815 = -2119
Hence, the result of subtracting the first 5 multiples of 163 is -2119.
Average of first 5 Multiples of 163:
To calculate the average, we need to identify the sum of the first 5 multiples of 163, 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 163 is 2445.
163 + 326 + 489 + 652 + 815 = 2445
Next, divide the sum by 5:
2445 ÷ 5 = 489
489 is the average of the first 5 multiples of 163.
Product of First 5 Multiples of 163:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 163 include: 163, 326, 489, 652, and 815. Now, the product of these numbers is:
163 × 326 × 489 × 652 × 815 = 13,430,778,749,820
The product of the first 5 multiples of 163 is 13,430,778,749,820.
Division of First 5 Multiples of 163:
While we perform division, we get to know how many times 163 can fit into each of the given multiples. 163, 326, 489, 652, and 815 are the first 5 multiples of 163.
163 ÷ 163 = 1
326 ÷ 163 = 2
489 ÷ 163 = 3
652 ÷ 163 = 4
815 ÷ 163 = 5
The results of dividing the first 5 multiples of 163 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 163
While working with multiples of 163, 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 163. 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 163 refer to the products we get while multiplying 163 with other numbers. For example, multiples of 163 include 0, 163, 326, 489, 652, 815, 978, 1141, 1304, 1467, 1630….
The factors of 163 are 1 and 163. When 163 is divided by 1 and 163, the remainder will be zero. These are the factors of 163 meaning that these numbers can divide 163 without any remainder.
Factors of 163:
163 ÷ 1 = 163
163 ÷ 163 = 1
Multiples of 163 Examples
Problem 1
A farmer is planting corn in a large field. He plants 163 seeds in each row. If he plants seeds in 7 rows, how many seeds are planted in total?
1,141 seeds
Explanation
To find the total number of seeds planted, we multiply the number of seeds per row by the number of rows.
Seeds per row = 163
Number of rows = 7
163 × 7 = 1,141
Thus, the farmer plants 1,141 seeds in total.
Problem 2
Lily is organizing a concert where each ticket costs $163. If she sells tickets in batches of 4, how much money will she make from selling one batch?
$652
Explanation
To calculate the total revenue from one batch of tickets, multiply the cost per ticket by the number of tickets in a batch.
Cost per ticket = $163
Number of tickets in a batch = 4
163 × 4 = 652
Therefore, Lily makes $652 from selling one batch of tickets.
Problem 3
A library has a special collection of rare books. Each shelf in this section holds 163 books. If there are 5 shelves, how many books are there in the collection?
815 books
Explanation
To determine the total number of books, multiply the number of books per shelf by the number of shelves.
Books per shelf = 163
Number of shelves = 5
163 × 5 = 815
Consequently, the library's special collection contains 815 books.
Problem 4
In a science experiment, each test tube holds 163 milliliters of a solution. If a scientist fills up 6 test tubes, how many milliliters of solution are used?
978 milliliters
Explanation
Multiply the volume of solution per test tube by the number of test tubes to find the total volume used.
Volume per test tube = 163 ml
Number of test tubes = 6
163 × 6 = 978
Hence, 978 milliliters of solution are used in total.
Problem 5
A painter arranges his art pieces in a gallery. He displays 163 paintings in the first row, 326 in the second row, and 489 in the third row. How many paintings are displayed in total?
978 paintings
Explanation
Add the number of paintings in each row to find the total number displayed.
First row = 163 paintings
Second row = 326 paintings
Third row = 489 paintings
163 + 326 + 489 = 978
Therefore, there are 978 paintings displayed in total.
FAQs on Multiples of 163
1.How do you find the multiples of 163?
2.What is the LCM of 7 and 163?
3.What are the real-life applications of Multiples of 163?
4.Are multiples of 163 finite or infinite?
5.Is there any odd multiple of 163?
Important Glossaries for Multiples of 163
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 163 include 163, 326, 489, 652, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 163 are the numbers that consist of the number pattern of 163.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. All multiples of 163 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 163 are the divisors of 163.
- Least Common Multiple (LCM): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 163 is 1141.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
