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158 LearnersLast updated on February 27th, 2025
Multiples of 102
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 102.
What are the Multiples of 102?
Now, let us learn more about multiples of 102. Multiples of 102 are the numbers you get when you multiply 102 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 102 can be denoted as 102 × 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 102 × 1 will give us 102 as the product. Multiples of 102 will be larger or equal to 102.
List of First 20 Multiples of 102
Multiples of 102 include the products of 102 and an integer. Multiples of 102 are divisible by 102 evenly. The first few multiples of 102 are given below:
Now, we know the first few multiples of 102. They are 0, 102, 204, 306, 408, 510, 612, 714, 816, 918, 1020,...
| TABLE OF 102 (1-10) | |
|---|---|
| 102 x 1 = 102 | 102 x 6 = 612 |
| 102 x 2 = 204 | 102 x 7 = 714 |
| 102 x 3 = 306 | 102 x 8 = 816 |
| 102 x 4 = 408 | 102 x 9 = 918 |
| 102 x 5 = 510 | 102 x 10 = 1020 |
| TABLE OF 102 (11-20) | |
|---|---|
| 102 x 11 = 1122 | 102 x 16 = 1632 |
| 102 x 12 = 1224 | 102 x 17 = 1734 |
| 102 x 13 = 1326 | 102 x 18 = 1836 |
| 102 x 14 = 1428 | 102 x 19 = 1938 |
| 102 x 15 = 1530 | 102 x 20 = 2040 |
Operations with Multiples of 102
Understanding the multiples of 102 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 102, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 102:
102, 204, 306, 408, and 510 are the first five multiples of 102. When multiplying 102 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
102 + 204 + 306 + 408 + 510 = 1530
When we add the first 5 multiples of 102, the answer will be 1530.
Subtraction of first 5 Multiples of 102:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 102, 204, 306, 408, and 510 are the first five multiples of 102. So, let us calculate it as given below:
102 - 204 = -102
-102 - 306 = -408
-408 - 408 = -816
-816 - 510 = -1326
Hence, the result of subtracting the first 5 multiples of 102 is -1326.
Average of first 5 Multiples of 102:
To calculate the average, we need to identify the sum of the first 5 multiples of 102, 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 102 is 1530.
102 + 204 + 306 + 408 + 510 = 1530
Next, divide the sum by 5:
1530 ÷ 5 = 306
306 is the average of the first 5 multiples of 102.
Product of First 5 Multiples of 102:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 102 include: 102, 204, 306, 408, and 510. Now, the product of these numbers is:
102 × 204 × 306 × 408 × 510 = 32,466,431,360
The product of the first 5 multiples of 102 is 32,466,431,360.
Division of First 5 Multiples of 102:
While we perform division, we get to know how many times 102 can fit into each of the given multiples. 102, 204, 306, 408, and 510 are the first 5 multiples of 102.
102 ÷ 102 = 1
204 ÷ 102 = 2
306 ÷ 102 = 3
408 ÷ 102 = 4
510 ÷ 102 = 5
The results of dividing the first 5 multiples of 102 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 102
While working with multiples of 102, 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 102. 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 102 refer to the products we get while multiplying 102 with other numbers. For example, multiples of 102 include 0, 102, 204, 306, 408, 510, 612, 714, 816, 918, 1020….
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, and 102. When 102 is divided by these numbers, the remainder will be zero. These are the factors of 102, meaning that these numbers can divide 102 without any remainder.
Factors of 102:
102 ÷ 1 = 102
102 ÷ 2 = 51
102 ÷ 3 = 34
102 ÷ 6 = 17
102 ÷ 17 = 6
102 ÷ 34 = 3
102 ÷ 51 = 2
102 ÷ 102 = 1
Multiples of 102 Examples
Problem 1
Lena is setting up tables for a banquet. Each table seats 102 guests. If she sets up tables for five consecutive months, how many guests can she accommodate in total during these months?
510 guests
Explanation
Each month, Lena sets up enough tables to seat 102 guests. To find the total number of guests she can accommodate over five months, multiply the number of guests per month by the number of months.
Guests per month = 102
Number of months = 5
102 × 5 = 510
Lena can accommodate 510 guests in total over five months.
Problem 2
Three friends, Alex, Brian, and Charlie, decide to organize a charity event. They plan to collect items in the order of the first three multiples of 102. How many items do they each plan to collect based on this series?
The first three multiples of 102 are 102, 204, and 306. Alex collects 102 items. Brian and Charlie collect 204 and 306 items, respectively.
Explanation
Identify the first three multiples of 102:
102 × 1 = 102
102 × 2 = 204
102 × 3 = 306
Therefore, Alex collects 102 items, Brian collects 204 items, and Charlie collects 306 items.
Problem 3
In a printing factory, each machine prints 102 pages at a time. If there are 8 machines running simultaneously, how many pages will be printed in one cycle?
816 pages
Explanation
To calculate the total number of pages printed by all machines in one cycle, multiply the number of machines by the number of pages each machine prints.
Number of machines = 8
Pages per machine = 102
8 × 102 = 816
Thus, a total of 816 pages will be printed in one cycle.
Problem 4
Emma has a collection of stamps organized in a binder. Each page of the binder holds 6 rows with 102 stamps in each row. How many stamps does Emma have on a single page?
612 stamps
Explanation
To find the total number of stamps on one page, multiply the number of rows by the number of stamps in each row.
Number of rows = 6
Stamps per row = 102
6 × 102 = 612
Emma has 612 stamps on a single page.
Problem 5
David is arranging his music playlist. He has playlists with 102, 204, and 306 songs in them. How many songs are there in total across all three playlists?
612 songs
Explanation
Add the number of songs in each playlist to find the total number of songs.
First playlist = 102 songs
Second playlist = 204 songs
Third playlist = 306 songs
102 + 204 + 306 = 612
Therefore, there are a total of 612 songs across all three playlists.
FAQs on Multiples of 102
1. How do you find the multiples of 102?
2.What is the LCM of 34 and 102?
3.What are the real-life applications of Multiples of 102?
4.Are multiples of 102 finite or infinite?
5.Is there any odd multiple of 102?
Important Glossaries for Multiples of 102
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 102 include 102, 204, 306, 408, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 102 are the numbers that consist of the number pattern of 102.
- 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 102 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 17, 34, 51, and 102 are the divisors of 102.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For instance, the LCM of 34 and 102 is 102.
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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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