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105 LearnersLast updated on March 7th, 2025
Multiples of 255
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 255.
What are the Multiples of 255?
Now, let us learn more about multiples of 255. Multiples of 255 are the numbers you get when you multiply 255 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 255 can be denoted as 255 × 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 255 × 1 will give us 255 as the product. Multiples of 255 will be larger or equal to 255.
List of First 20 Multiples of 255
Multiples of 255 include the products of 255 and an integer. Multiples of 255 are divisible by 255 evenly. The first few multiples of 255 are given below:
Now, we know the first few multiples of 255. They are 0, 255, 510, 765, 1020, 1275, 1530, 1785, 2040, 2295, 2550,...
Operations with Multiples of 255
Understanding the multiples of 255 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 255, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 255:
255, 510, 765, 1020, and 1275 are the first five multiples of 255. When multiplying 255 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
255 + 510 + 765 + 1020 + 1275 = 3825
When we add the first 5 multiples of 255 the answer will be 3825.
Subtraction of first 5 Multiples of 255:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 255, 510, 765, 1020, and 1275 are the first five multiples of 255. So, let us calculate it as given below:
255 - 510 = -255
-255 - 765 = -1020
-1020 - 1020 = -2040
-2040 - 1275 = -3315
Hence, the result of subtracting the first 5 multiples of 255 is -3315.
Average of first 5 Multiples of 255:
To calculate the average, we need to identify the sum of the first 5 multiples of 255, 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 255 is 3825.
255 + 510 + 765 + 1020 + 1275 = 3825
Next, divide the sum by 5:
3825 ÷ 5 = 765
765 is the average of the first 5 multiples of 255.
Product of First 5 Multiples of 255:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 255 include: 255, 510, 765, 1020, and 1275. Now, the product of these numbers is:
255 × 510 × 765 × 1020 × 1275 = 127,512,930,000
The product of the first 5 multiples of 255 is 127,512,930,000.
Division of First 5 Multiples of 255:
While we perform division, we get to know how many times 255 can fit into each of the given multiples. 255, 510, 765, 1020, and 1275 are the first 5 multiples of 255.
255 ÷ 255 = 1
510 ÷ 255 = 2
765 ÷ 255 = 3
1020 ÷ 255 = 4
1275 ÷ 255 = 5
The results of dividing the first 5 multiples of 255 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 255
While working with multiples of 255, 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 255. 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 255 refer to the products we get while multiplying 255 with other numbers. For example, multiples of 255 include 0, 255, 510, 765, 1020, 1275, 1530, 1785, 2040, 2295, 2550….
- The factors of 255 are 1, 3, 5, 15, 17, 51, 85, and 255. When 255 is divided by these numbers, the remainder will be zero. These are the factors of 255 meaning that these numbers can divide 255 without any remainder.
Factors of 255:
255 ÷ 1 = 255
255 ÷ 3 = 85
255 ÷ 5 = 51
255 ÷ 15 = 17
Multiples of 255 Examples
Problem 1
Sophia is organizing a charity event where she needs to prepare gift bags. Each gift bag contains 255 chocolates. If she prepares gift bags for 3 different events, how many chocolates does she need in total?
765 chocolates
Explanation
Each event requires 255 chocolates per gift bag. To find the total number of chocolates needed for 3 events, we multiply:
Number of chocolates per event = 255
Number of events = 3
255 × 3 = 765
Therefore, Sophia needs 765 chocolates in total.
Problem 2
A concert hall distributes free tickets in packets of 255 for each show. If there are 5 shows scheduled, how many tickets in total are distributed?
1275 tickets
Explanation
Each show distributes 255 tickets. To find the total number of tickets distributed for all shows, multiply:
Number of tickets per show = 255
Number of shows = 5
255 × 5 = 1275
Thus, 1275 tickets are distributed in total.
Problem 3
In a warehouse, there are crates that hold 255 bottles each. If there are 8 crates in total, how many bottles are there in the warehouse?
2040 bottles
Explanation
To find the total number of bottles, multiply the number of bottles per crate by the number of crates:
Number of bottles per crate = 255
Number of crates = 8
255 × 8 = 2040
Hence, there are 2040 bottles in the warehouse.
Problem 4
Emma is setting up tables for a banquet. Each table is set with 255 napkins. If there are 6 tables, how many napkins are used in total?
1530 napkins
Explanation
To determine the total number of napkins, multiply the number of napkins per table by the number of tables:
Number of napkins per table = 255
Number of tables = 6
255 × 6 = 1530
Thus, 1530 napkins are used in total.
Problem 5
A printing company prints 255 pages per hour. If the printer runs for 9 hours, how many pages does it print in total?
2295 pages
Explanation
To find the total number of pages printed, multiply the number of pages printed per hour by the total hours of operation:
Number of pages per hour = 255
Number of hours = 9
255 × 9 = 2295
Therefore, the printer produces 2295 pages in total.
FAQs on Multiples of 255
1.How do you find the multiples of 255?
2.What is the LCM of 5 and 255?
3.Are all multiples of 255 also multiples of 5?
4.Are multiples of 255 always odd?
5.Can a multiple of 255 be a prime number?
Important Glossaries for Multiples of 255
Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 256 include 255, 510, 765, 1020, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 250 are the numbers that consist of the number pattern of 250.
Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of products are 0 and 5.
Divisor: It refers to any number by which another number can be divided without leaving any remainder.
LCM (Least Common Multiple): The least common multiple is the smallest number that is a multiple of two or more numbers.
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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
