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Last updated on February 4th, 2025

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Multiples of 98

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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 98.

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What are the Multiples of 98?

Now, let us learn more about multiples of 98. Multiples of 98 are the numbers you get when you multiply 98 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 98 can be denoted as 98 × 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 98 × 1 will give us 98 as the product. Multiples of 98 will be larger or equal to 98.

multiples of 98

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List of First 20 Multiples of 98

Multiples of 98 include the products of 98 and an integer. Multiples of 98 are divisible by 98 evenly. The first few multiples of 98 are given below:

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Operations with Multiples of 98

Understanding the multiples of 98 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 98, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 98:


98, 196, 294, 392, and 490 are the first five multiples of 98. When multiplying 98 from 1 to 5, we get these numbers as the products.


So, the sum of these multiples is:


98 + 196 + 294 + 392 + 490 = 1470


When we add the first 5 multiples of 98, the answer will be 1470.

 

Subtraction of first 5 Multiples of 98:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 98, 196, 294, 392, and 490 are the first five multiples of 98. So, let us calculate it as given below:


98 - 196 = -98
-98 - 294 = -392
-392 - 392 = -784
-784 - 490 = -1274

 

Hence, the result of subtracting the first 5 multiples of 98 is -1274.

 

Average of first 5 Multiples of 98:


To calculate the average, we need to identify the sum of the first 5 multiples of 98, 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 98 is 1470.


98 + 196 + 294 + 392 + 490 = 1470


Next, divide the sum by 5:


1470 ÷ 5 = 294


294 is the average of the first 5 multiples of 98.

 

Product of First 5 Multiples of 98:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 98 include: 98, 196, 294, 392, and 490. Now, the product of these numbers is:


98 × 196 × 294 × 392 × 490 = 10,535,792,896,000


The product of the first 5 multiples of 98 is 10,535,792,896,000.

 

Division of First 5 Multiples of 98:


While we perform division, we get to know how many times 98 can fit into each of the given multiples. 98, 196, 294, 392, and 490 are the first 5 multiples of 98.


98 ÷ 98 = 1
196 ÷ 98 = 2
294 ÷ 98 = 3
392 ÷ 98 = 4
490 ÷ 98 = 5

 

The results of dividing the first 5 multiples of 98 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 98

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Multiples of 98 Examples

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Problem 1

Sarah is organizing a charity walk event. For every 98 participants who register, she plants a tree in the local park. After 5 weeks, if each week the number of participants remains constant at 98 per week, how many trees will Sarah plant in total?

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Explanation

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Problem 2

In a factory, machines produce widgets in batches. Each batch contains 98 widgets. If the factory operates for 3 shifts a day and produces one batch per shift, how many widgets will be produced in a single day?

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Explanation

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Problem 3

A library is setting up new shelves to store books. Each shelf holds 98 books. If the library adds 8 new shelves, how many books can the new shelves accommodate in total?

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Explanation

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Problem 4

A farmer is planting trees in a large orchard. He plants 98 trees in each row. If he plans to plant 7 rows, how many trees will be planted in total?

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Explanation

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Problem 5

During a promotional event, a store gives away a pack of 98 stickers to each visitor. If 6 visitors attend the event, how many stickers does the store give away in total?

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Explanation

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FAQs on Multiples of 98

1.How do you find the multiples of 98?

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2.What is the LCM of 7 and 98?

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3.What are the real-life applications of Multiples of 98?

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4.Are multiples of 98 finite or infinite?

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5. Is there any odd multiples of 98?

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Important Glossaries for Multiples of 98

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 98 include 98, 196, 294, 392, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 98 are the numbers that consist of the number pattern of 98.

 

  • Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 98 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 7, 14, 49, and 98 are the divisors of 98.

 

  • Least Common Multiple (LCM): The smallest positive integer that is a multiple of two or more numbers. For example, the LCM of 7 and 98 is 98.
     
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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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