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Last updated on February 11th, 2025

Multiples of 49

Q: How do you find the multiples of 49?

To find out the multiples of 49, we need to multiply 49 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 49. Multiples of 49 will be larger or equal to 49. 49 × 1 = 49 49 × 2 = 98 49 × 3 = 147 49 × 4 = 196 49 × 5 = 245

Q: What is the LCM of 7 and 49?

LCM of 7 and 49 is 49. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 49 using the listing method, we need to list the multiples of both 7 and 49. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 49 are 49, 98, 147, 196, 245, 294, 343, 392, 441, 490,… Here, the smallest common number that appears in both lists is 49. LCM of 7 and 49 = 49.

Q: What are the real-life applications of Multiples of 49?

Multiples of 49 can be helpful in various real-life situations. We can use it for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups.

Q: Are multiples of 49 finite or infinite?

All the multiples of 49 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 49. When we calculate 49 × n, if the integer ‘n’ goes on forever, the multiples of 49 also become infinite.

Q: Is there any odd multiple of 49?

Yes, there are odd numbers in the multiples of 49. Because 49 is an odd number, if we multiply it by an odd number, we will get an odd number as the product. For example, 49 × 1 = 49 49 × 3 = 147 49 × 5 = 245

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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. $Multiples of 49$

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

Multiples of 49 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

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?

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

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

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

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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.