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134 LearnersLast updated on February 11th, 2025
Multiples of 49
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 49.
What are the Multiples of 49?
Now, let us learn more about multiples of 49. Multiples of 49 are the numbers you get when you multiply 49 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 49 can be denoted as 49 × 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 49 × 1 will give us 49 as the product. Multiples of 49 will be larger or equal to 49.
List of First 20 Multiples of 49
Multiples of 49 include the products of 49 and an integer. Multiples of 49 are divisible by 49 evenly. The first few multiples of 49 are given below:
| TABLE OF 49 (1-10) | |
|---|---|
|
49 x 1 = 49 |
49 x 6 = 294 |
|
49 x 2 = 98 |
49 x 7 = 343 |
|
49 x 3 = 147 |
49 x 8 = 392 |
|
49 x 4 = 196 |
49 x 9 = 441 |
|
49 x 5 = 245 |
49 x 10 = 490 |
| TABLE OF 49 (11-20) | |
|---|---|
|
49 x 11 = 539 |
49 x 16 = 784 |
|
49 x 12 = 588 |
49 x 17 = 833 |
|
49 x 13 = 637 |
49 x 18 = 882 |
|
49 x 14 = 686 |
49 x 19 = 931 |
|
49 x 15 = 735 |
49 x 20 = 980 |
Now, we know the first few multiples of 49. They are 0, 49, 98, 147, 196, 245, 294, 343, 392, 441, 490,...
Operations with Multiples of 49
Understanding the multiples of 49 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 49, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 49:
49, 98, 147, 196, and 245 are the first five multiples of 49. When multiplying 49 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
49 + 98 + 147 + 196 + 245 = 735
When we add the first 5 multiples of 49, the answer will be 735.
Subtraction of First 5 Multiples of 49:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 49, 98, 147, 196, and 245 are the first five multiples of 49. So, let us calculate it as given below:
49 - 98 = -49
-49 - 147 = -196
-196 - 196 = -392
-392 - 245 = -637
Hence, the result of subtracting the first 5 multiples of 49 is -637.
Average of First 5 Multiples of 49:
To calculate the average, we need to identify the sum of the first 5 multiples of 49, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 49 is 735.
49 + 98 + 147 + 196 + 245 = 735
Next, divide the sum by 5:
735 ÷ 5 = 147
147 is the average of the first 5 multiples of 49.
Product of First 5 Multiples of 49:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 49 include: 49, 98, 147, 196, and 245. Now, the product of these numbers is:
49 × 98 × 147 × 196 × 245 = 3,279,414,020
The product of the first 5 multiples of 49 is 3,279,414,020.
Division of First 5 Multiples of 49:
While we perform division, we get to know how many times 49 can fit into each of the given multiples. 49, 98, 147, 196, and 245 are the first 5 multiples of 49.
49 ÷ 49 = 1
98 ÷ 49 = 2
147 ÷ 49 = 3
196 ÷ 49 = 4
245 ÷ 49 = 5
The results of dividing the first 5 multiples of 49 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 49
While working with multiples of 49, 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 49. 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 49 refer to the products we get while multiplying 49 with other numbers. For example, multiples of 49 include 0, 49, 98, 147, 196, 245, 294, 343, 392, 441, 490….
The factors of 49 are 1, 7, and 49. When 49 is divided by 1, 7, and 49, the remainder will be zero. These are the factors of 49, meaning that these numbers can divide 49 without any remainder.
Factors of 49:
49 ÷ 1 = 49
49 ÷ 7 = 7
49 ÷ 49 = 1
Multiples of 49 Examples
Problem 1
In a new board game, each player collects cards in sets of 49. If a player manages to collect 3 full sets over the course of the game, how many cards do they have in total?
147 cards
Explanation
Each set contains 49 cards. To find the total number of cards for 3 sets, multiply the number of cards in one set by the number of sets.
Cards in each set = 49
Number of sets = 3
49 × 3 = 147
The player has 147 cards in total.
Problem 2
A factory produces toy cars in batches of 49. If the factory runs for 7 days and produces 1 batch each day, how many toy cars are manufactured in total?
343 toy cars
Explanation
The factory produces 49 toy cars in one batch. Multiply the number of toy cars in each batch by the number of days to find the total production.
Toy cars per batch = 49
Days of production = 7
49 × 7 = 343
The factory manufactures 343 toy cars in total.
Problem 3
An art exhibition displays paintings in groups of 49. If the exhibition hall has space for 5 such groups, how many paintings are displayed altogether?
245 paintings
Explanation
Each group contains 49 paintings. To find the total number of paintings, multiply the number of paintings in one group by the number of groups.
Paintings in each group = 49
Number of groups = 5
49 × 5 = 245
There are 245 paintings displayed in the exhibition.
Problem 4
A tree plantation project plants trees in clusters of 49. If the project covers 6 regions and plants one cluster in each region, how many trees are planted in total?
294 trees
Explanation
Each cluster contains 49 trees. To find the total number of trees, multiply the number of trees in one cluster by the number of regions.
Trees in each cluster = 49
Number of regions = 6
49 × 6 = 294
The project plants 294 trees in total.
Problem 5
A book club reads books in units of 49 pages each session. If they have 4 reading sessions, how many pages do they read in total?
196 pages
Explanation
Each session covers 49 pages. Multiply the number of pages per session by the number of sessions to find the total number of pages read.
Pages per session = 49
Number of sessions = 4
49 × 4 = 196
The book club reads 196 pages in total.
FAQs on Multiples of 49
1.How do you find the multiples of 49?
2.What is the LCM of 7 and 49?
3.What are the real-life applications of Multiples of 49?
4.Are multiples of 49 finite or infinite?
5.Is there any odd multiple of 49?
Important Glossaries for Multiples of 49
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 49 include 49, 98, 147, 196, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 49 are the numbers that consist of the number pattern of 49.
- 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 49 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 7, and 49 are the divisors of 49.
- Zero: Zero is a multiple of every number. It is the result of multiplying any number by zero, including 49.
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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
