121 LearnersLast updated on May 26th, 2025
Multiples of 169
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 169.
What are the Multiples of 169?
Now, let us learn more about multiples of 169. Multiples of 169 are the numbers you get when you multiply 169 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 169 can be denoted as 169 × 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 169 × 1 will give us 169 as the product. Multiples of 169 will be larger or equal to 169.
List of First 20 Multiples of 169
Multiples of 169 include the products of 169 and an integer. Multiples of 169 are divisible by 169 evenly. The first few multiples of 169 are given below:
| TABLE OF 169 (1-10) | |
|---|---|
|
169 x 1 = 169 |
169 x 6 = 1014 |
|
169 x 2 = 338 |
169 x 7 = 1183 |
|
169 x 3 = 507 |
169 x 8 = 1352 |
|
169 x 4 = 676 |
169 x 9 = 1521 |
|
169 x 5 = 845 |
169 x 10 = 1690 |
| TABLE OF 169 (11-20) | |
|---|---|
|
169 x 11 = 1859 |
169 x 16 = 2704 |
|
169 x 12 = 2028 |
169 x 17 = 2873 |
|
169 x 13 = 2197 |
169 x 18 = 3042 |
|
169 x 14 = 2366 |
169 x 19 = 3211 |
|
169 x 15 = 2535 |
169 x 20 = 3380 |
Now, we know the first few multiples of 169. They are 0, 169, 338, 507, 676, 845, 1014, 1183, 1352, 1521, 1690,...
Operations with Multiples of 169
Understanding the multiples of 169 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 169, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 169:
169, 338, 507, 676, and 845 are the first five multiples of 169. When multiplying 169 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
169 + 338 + 507 + 676 + 845 = 2535
When we add the first 5 multiples of 169, the answer will be 2535.
Subtraction of First 5 Multiples of 169:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 169, 338, 507, 676, and 845 are the first five multiples of 169. So, let us calculate it as given below:
169 - 338 = -169
-169 - 507 = -676
-676 - 676 = -1352
-1352 - 845 = -2197
Hence, the result of subtracting the first 5 multiples of 169 is -2197.
Average of First 5 Multiples of 169:
To calculate the average, we need to identify the sum of the first 5 multiples of 169, 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 169 is 2535.
169 + 338 + 507 + 676 + 845 = 2535
Next, divide the sum by 5:
2535 ÷ 5 = 507
507 is the average of the first 5 multiples of 169.
Product of First 5 Multiples of 169:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 169 include: 169, 338, 507, 676, and 845. Now, the product of these numbers is:
169 × 338 × 507 × 676 × 845 = 41,560,462,460
The product of the first 5 multiples of 169 is 41,560,462,460.
Division of First 5 Multiples of 169:
While we perform division, we get to know how many times 169 can fit into each of the given multiples. 169, 338, 507, 676, and 845 are the first 5 multiples of 169.
169 ÷ 169 = 1
338 ÷ 169 = 2
507 ÷ 169 = 3
676 ÷ 169 = 4
845 ÷ 169 = 5
The results of dividing the first 5 multiples of 169 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 169
While working with multiples of 169, 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 169. 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 169 refer to the products we get while multiplying 169 with other numbers. For example, multiples of 169 include 0, 169, 338, 507, 676, 845, 1014, 1183, 1352, 1521, 1690,….
The factors of 169 are 1, 13, and 169. When 169 is divided by 1, 13, and 169, the remainder will be zero. These are the factors of 169, meaning that these numbers can divide 169 without any remainder.
Factors of 169:
169 ÷ 1 = 169
169 ÷ 13 = 13
169 ÷ 169 = 1
Multiples of 169 Examples
Problem 1
At a photo exhibition, each exhibit showcases 169 photographs. If the exhibition runs for 5 days and each day a new exhibit with 169 photographs is introduced, how many photographs will be displayed in total by the end of the exhibition?
845 photographs
Explanation
Each day, a new exhibit with 169 photographs is added. Multiply the number of photographs in each exhibit by the number of days.
Photographs per exhibit = 169
Number of days = 5
169 × 5 = 845
By the end of the exhibition, there will be 845 photographs displayed.
Problem 2
A library received three shipments of books over a month. The shipments contained books in the order of the first three multiples of 169. How many books did the library receive in each shipment?
The first three multiples of 169 are 169, 338, and 507. The library received 169 books in the first shipment, 338 books in the second shipment, and 507 books in the third shipment.
Explanation
To determine the number of books in each shipment, we calculate the first three multiples of 169:
169 × 1 = 169
169 × 2 = 338
169 × 3 = 507
Thus, the library received 169, 338, and 507 books in each respective shipment.
Problem 3
A stadium has 169 rows of seats, and each row can accommodate 169 spectators. How many spectators can the stadium accommodate in total?
28,561 spectators
Explanation
To find the total number of spectators the stadium can accommodate, multiply the number of rows by the number of seats per row.
Number of rows = 169
Number of seats per row = 169
169 × 169 = 28,561
Therefore, the stadium can accommodate 28,561 spectators in total.
Problem 4
A factory produces 169 gadgets every hour. If the factory operates for 7 hours each day, how many gadgets will it produce in a single day?
1,183 gadgets
Explanation
To find the total number of gadgets produced in a day, multiply the number of gadgets produced per hour by the number of operating hours.
Gadgets produced per hour = 169
Number of hours = 7
169 × 7 = 1,183
Hence, the factory will produce 1,183 gadgets in a single day.
Problem 5
In a museum, there are 169 paintings in the first gallery, 338 in the second gallery, and 507 in the third gallery. How many paintings are there in total across all three galleries?
1,014 paintings
Explanation
Add the number of paintings in each gallery to find the total:
First gallery = 169 paintings
Second gallery = 338 paintings
Third gallery = 507 paintings
169 + 338 + 507 = 1,014
Therefore, there are 1,014 paintings in total across all three galleries.
FAQs on Multiples of 169
1.How do you find the multiples of 169?
2.What is the LCM of 13 and 169?
3.What are the real-life applications of Multiples of 169?
4.Are multiples of 169 finite or infinite?
5.Is there any odd multiples of 169?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 169?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 169 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 169?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 169 among early learners in United States?
Important Glossaries for Multiples of 169
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 169 include 169, 338, 507, 676, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 169 are the numbers that consist of the number pattern of 169.
- Factor: A factor refers to any number that can divide another number without leaving any remainder. The factors of 169 are 1, 13, and 169.
- 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 169 are odd numbers.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each of the numbers. For example, the LCM of 13 and 169 is 169.
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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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