109 LearnersLast updated on May 26th, 2025
Multiples of 289
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 289.
What are the Multiples of 289?
Now, let us learn more about multiples of 289. Multiples of 289 are the numbers you get when you multiply 289 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 289 can be denoted as 289 × 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 289 × 1 will give us 289 as the product. Multiples of 289 will be larger or equal to 289.
List of First 20 Multiples of 289
Multiples of 289 include the products of 289 and an integer. Multiples of 289 are divisible by 289 evenly. The first few multiples of 289 are given below:
| TABLE OF 289 (1-10) | |
|---|---|
|
289 x 1 = 289 |
289 x 6 = 1734 |
|
289 x 2 = 578 |
289 x 7 = 2023 |
|
289 x 3 = 867 |
289 x 8 = 2312 |
|
289 x 4 = 1156 |
289 x 9 = 2601 |
|
289 x 5 = 1445 |
289 x 10 = 2890 |
| TABLE OF 289 (11-20) | |
|---|---|
|
289 x 11 = 3179 |
289 x 16 = 4624 |
|
289 x 12 = 3468 |
289 x 17 = 4913 |
|
289 x 13 = 3757 |
289 x 18 = 5202 |
|
289 x 14 = 4046 |
289 x 19 = 5491 |
|
289 x 15 = 4335 |
289 x 20 = 5780 |
Now, we know the first few multiples of 289. They are 0, 289, 578, 867, 1156, 1445, 1734, 2023, 2312, 2601, 2890,...
Operations with Multiples of 289
Understanding the multiples of 289 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 289, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 289:
289, 578, 867, 1156, and 1445 are the first five multiples of 289. When multiplying 289 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
289 + 578 + 867 + 1156 + 1445 = 4335
When we add the first 5 multiples of 289, the answer will be 4335.
Subtraction of first 5 Multiples of 289:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 289, 578, 867, 1156, and 1445 are the first five multiples of 289. So, let us calculate it as given below:
289 - 578 = -289
-289 - 867 = -1156
-1156 - 1156 = -2312
-2312 - 1445 = -3757
Hence, the result of subtracting the first 5 multiples of 289 is -3757.
Average of first 5 Multiples of 289:
To calculate the average, we need to identify the sum of the first 5 multiples of 289, 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 289 is 4335.
289 + 578 + 867 + 1156 + 1445 = 4335
Next, divide the sum by 5:
4335 ÷ 5 = 867
867 is the average of the first 5 multiples of 289.
Product of First 5 Multiples of 289:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 289 include: 289, 578, 867, 1156, and 1445. Now, the product of these numbers is:
289 × 578 × 867 × 1156 × 1445 = 3,775,096,389,040
The product of the first 5 multiples of 289 is 3,775,096,389,040.
Division of First 5 Multiples of 289:
While we perform division, we get to know how many times 289 can fit into each of the given multiples. 289, 578, 867, 1156, and 1445 are the first 5 multiples of 289.
289 ÷ 289 = 1
578 ÷ 289 = 2
867 ÷ 289 = 3
1156 ÷ 289 = 4
1445 ÷ 289 = 5
The results of dividing the first 5 multiples of 289 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 289
While working with multiples of 289, 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 289. 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 289 refer to the products we get while multiplying 289 with other numbers. For example, multiples of 289 include 0, 289, 578, 867, 1156, 1445, 1734, 2023, 2312, 2601, 2890….
The factors of 289 are 1, 17, and 289. When 289 is divided by 1, 17, and 289 the remainder will be zero. These are the factors of 289 meaning that these numbers can divide 289 without any remainder.
Factors of 289:
289 ÷ 1 = 289
289 ÷ 17 = 17
289 ÷ 289 = 1
Multiples of 289 Examples
Problem 1
In a library, every section contains exactly 289 books. If the library has 6 sections, how many books are there in total?
1734 books
Explanation
Each section has 289 books. To find the total number of books in the library, multiply the number of sections by the number of books in each section.
Books per section = 289
Number of sections = 6
289 × 6 = 1734
Therefore, there are 1734 books in total in the library.
Problem 2
A factory produces batches of 289 widgets every day. How many widgets does the factory produce in a week (7 days)?
2023 widgets
Explanation
The factory produces 289 widgets each day. To calculate the total number of widgets produced in a week, multiply the daily production by 7.
Widgets per day = 289
Days in a week = 7
289 × 7 = 2023
Thus, the factory produces 2023 widgets in a week.
Problem 3
Three friends are running a charity campaign where they collect donations in multiples of 289. If the first friend collects 289 dollars, the second collects twice as much, and the third collects three times as much as the first, how much did they collect in total?
2023 dollars
Explanation
The first friend collects 289 dollars. The second collects 2 × 289 dollars, and the third collects 3 × 289 dollars. Add these amounts together to find the total.
First friend: 289
Second friend: 2 × 289 = 578
Third friend: 3 × 289 = 867
Total = 289 + 578 + 867 = 1734
Therefore, they collected a total of 1734 dollars.
Problem 4
In a game, players earn points in multiples of 289. A player earns 3 times 289 points in the first round and 5 times 289 points in the second round. How many points does the player have in total?
2312 points
Explanation
Calculate the points earned in each round and add them together.
First round: 3 × 289 = 867
Second round: 5 × 289 = 1445
Total points = 867 + 1445 = 2312
Thus, the player has a total of 2312 points.
Problem 5
A company orders supplies in packs of 289 items each. If they need to order supplies for 8 departments, with each department requiring one pack, how many items are ordered in total?
2312 items
Explanation
Each department requires 289 items. Multiply the number of departments by the number of items per pack to find the total.
Items per department = 289
Number of departments = 8
289 × 8 = 2312
Therefore, a total of 2312 items are ordered
FAQs on Multiples of 289
1.How do you find the multiples of 289?
2.What is the LCM of 17 and 289?
3.What are the real-life applications of Multiples of 289?
4.Are multiples of 289 finite or infinite?
5.Is there any odd multiples of 289?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 289?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 289 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 289?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 289 among early learners in Vietnam?
Important Glossaries for Multiples of 289
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 289 include 289, 578, 867, 1156, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 289 are the numbers that consist of the number pattern of 289.
- Odd number: An odd number refers to 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 289 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 17, and 289 are the divisors of 289.
- Least Common Multiple (LCM): The smallest multiple that two or more numbers have in common. For example, the LCM of 17 and 289 is 289.
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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
