Last updated on May 26th, 2025
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 218.
Now, let us learn more about multiples of 218. Multiples of 218 are the numbers you get when you multiply 218 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 218 can be denoted as 218 × 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 218 × 1 will give us 218 as the product. Multiples of 218 will be larger or equal to 218.
Multiples of 218 include the products of 218 and an integer. Multiples of 218 are divisible by 218 evenly. The first few multiples of 218 are given below:
Now, we know the first few multiples of 218. They are 0, 218, 436, 654, 872, 1090, 1308, 1526, 1744, 1962, 2180,...
Understanding the multiples of 218 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 218, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
##Sum of First 5 Multiples of 218:
218, 436, 654, 872, and 1090 are the first five multiples of 218. When multiplying 218 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
218 + 436 + 654 + 872 + 1090 = 3270
When we add the first 5 multiples of 218, the answer will be 3270.
##Subtraction of First 5 Multiples of 218:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 218, 436, 654, 872, and 1090 are the first five multiples of 218. So, let us calculate it as given below:
218 - 436 = -218
-218 - 654 = -872
-872 - 872 = -1744
-1744 - 1090 = -2834
Hence, the result of subtracting the first 5 multiples of 218 is -2834.
##Average of First 5 Multiples of 218:
To calculate the average, we need to identify the sum of the first 5 multiples of 218, 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 218 is 3270.
218 + 436 + 654 + 872 + 1090 = 3270
Next, divide the sum by 5:
3270 ÷ 5 = 654
654 is the average of the first 5 multiples of 218.
##Product of First 5 Multiples of 218:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 218 include: 218, 436, 654, 872, and 1090. Now, the product of these numbers is:
218 × 436 × 654 × 872 × 1090 = 11,195,822,272,000
The product of the first 5 multiples of 218 is 11,195,822,272,000.
##Division of First 5 Multiples of 218:
While we perform division, we get to know how many times 218 can fit into each of the given multiples. 218, 436, 654, 872, and 1090 are the first 5 multiples of 218.
218 ÷ 218 = 1
436 ÷ 218 = 2
654 ÷ 218 = 3
872 ÷ 218 = 4
1090 ÷ 218 = 5
The results of dividing the first 5 multiples of 218 are: 1, 2, 3, 4, and 5.
While working with multiples of 218, 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:
A farmer is organizing his produce delivery in crates. Each crate holds 218 apples. If he continues to pack apples in crates like this for 5 weeks, how many apples will he have delivered by the end of the period?
1,090 apples
Each week, he packs 218 apples into crates. To find the total number of apples delivered after 5 weeks, we multiply 218 by 5.
Apples delivered each week = 218
Number of weeks = 5
218 × 5 = 1,090
He will have delivered 1,090 apples by the end of 5 weeks.
In a city library, books are organized into sections of 218. The first section has 218 books, the second section has twice that number, and the third section has three times the number of books as the first section. How many books are there in total in these three sections?
1,308 books
We identify the multiples of 218 as follows:
First section: 218 × 1 = 218
Second section: 218 × 2 = 436
Third section: 218 × 3 = 654
Total books = 218 + 436 + 654 = 1,308
Therefore, there are 1,308 books in total across the three sections.
A construction company places streetlights along a highway every 218 meters. If the highway is 1,744 meters long, how many streetlights are needed?
8 streetlights
To find the number of streetlights needed, divide the length of the highway by the distance between streetlights.
Highway length = 1,744 meters
Distance between streetlights = 218 meters
1,744 ÷ 218 = 8
Thus, 8 streetlights are needed.
During a charity event, volunteers pack 218 meals in each shift. If there are 6 shifts in a day, how many meals are packed in total by the end of the day?
1,308 meals
Multiply the number of meals packed per shift by the number of shifts.
Meals per shift = 218
Number of shifts = 6
218 × 6 = 1,308
Therefore, 1,308 meals are packed by the end of the day.
A research team is collecting water samples from a river at intervals of 218 meters. They plan to cover a distance of 872 meters. How many samples will they collect?
4 samples
Divide the total distance by the sampling interval to determine the number of samples collected.
Total distance = 872 meters
Sampling interval = 218 meters
872 ÷ 218 = 4
Therefore, the team will collect 4 samples.
Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 218 include 218, 436, 654, 872, etc.
Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 218 are the numbers that consist of the number pattern of 218.
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 218 are even numbers.
Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 109, and 218 are the divisors of 218.
LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 218 is 1526.
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.
: She has songs for each table which helps her to remember the tables