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Last updated on March 28th, 2025

Multiples of 169

Q: How do you find the multiples of 169?

To find out the multiples of 169, we need to multiply 169 by any natural number. Natural numbers include 1, 2, 3,... etc. The results will be multiples of 169. Multiples of 169 will be larger or equal to 169. 169 × 1 = 169 169 × 2 = 338 169 × 3 = 507 169 × 4 = 676 169 × 5 = 845

Q: What is the LCM of 13 and 169?

LCM of 13 and 169 is 169. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 13 and 169 using the listing method, we need to list the multiples of both 13 and 169. Multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104, 117, 130,... Multiples of 169 are 169, 338, 507, 676, 845,... Here, the smallest common number that appears in both lists is 169. LCM of 13 and 169 = 169.

Q: What are the real-life applications of Multiples of 169?

Multiples of 169 can be helpful in various real-life situations. We can use them for calculating the area of square plots (since 169 is a perfect square), optimizing resource allocation, and organizing events into groups.

Q: Are multiples of 169 finite or infinite?

All the multiples of 169 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 169. When we calculate 169 × n, if the integer ‘n’ goes on forever, the multiples of 169 also become infinite.

Q: Is there any odd multiples of 169?

Yes, there are odd multiples of 169, such as 169, 507, and 845. This is because 169 itself is an odd number, and multiplying an odd number by any integer can result in an odd product.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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.

$multiples of 169$

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

Multiples of 169 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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?

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.