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106 LearnersLast updated on March 28th, 2025
Multiples of 65
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 65.
What are the Multiples of 65?
Now, let us learn more about multiples of 65. Multiples of 65 are the numbers you get when you multiply 65 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 65 can be denoted as 65 × 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 65 × 1 will give us 65 as the product. Multiples of 65 will be larger or equal to 65.
List of First 20 Multiples of 65
Multiples of 65 include the products of 65 and an integer. Multiples of 65 are divisible by 65 evenly. The first few multiples of 65 are given below:
| TABLE OF 65 (1-10) | |
|---|---|
|
65 x 1 = 65 |
65 x 6 = 390 |
|
65 x 2 = 130 |
65 x 7 = 455 |
|
65 x 3 = 195 |
65 x 8 = 520 |
|
65 x 4 = 260 |
65 x 9 = 585 |
|
65 x 5 = 325 |
65 x 10 = 650 |
| TABLE OF 65 (11-20) | |
|---|---|
|
65 x 11 = 715 |
65 x 16 = 1040 |
|
65 x 12 = 780 |
65 x 17 = 1105 |
|
65 x 13 = 845 |
65 x 18 = 1170 |
|
65 x 14 = 910 |
65 x 19 = 1235 |
|
65 x 15 = 975 |
65 x 20 = 1300 |
Operations with Multiples of 65
Understanding the multiples of 65 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 65, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of the First 5 Multiples of 65:
65, 130, 195, 260, and 325 are the first five multiples of 65. When multiplying 65 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
65 + 130 + 195 + 260 + 325 = 975
When we add the first 5 multiples of 65, the answer will be 975.
Subtraction of the First 5 Multiples of 65:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 65, 130, 195, 260, and 325 are the first five multiples of 65. So, let us calculate it as given below:
65 - 130 = -65
-65 - 195 = -260
-260 - 260 = -520
-520 - 325 = -845
Hence, the result of subtracting the first 5 multiples of 65 is -845.
Average of the First 5 Multiples of 65:
To calculate the average, we need to identify the sum of the first 5 multiples of 65, 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 65 is 975.
65 + 130 + 195 + 260 + 325 = 975
Next, divide the sum by 5:
975 ÷ 5 = 195
195 is the average of the first 5 multiples of 65.
Product of the First 5 Multiples of 65:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 65 include: 65, 130, 195, 260, and 325. Now, the product of these numbers is:
65 × 130 × 195 × 260 × 325 = 1,718,722,500
The product of the first 5 multiples of 65 is 1,718,722,500.
Division of the First 5 Multiples of 65:
While we perform division, we get to know how many times 65 can fit into each of the given multiples. 65, 130, 195, 260, and 325 are the first 5 multiples of 65.
65 ÷ 65 = 1
130 ÷ 65 = 2
195 ÷ 65 = 3
260 ÷ 65 = 4
325 ÷ 65 = 5
The results of dividing the first 5 multiples of 65 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 65
While working with multiples of 65, 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 65. 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 65 refer to the products we get while multiplying 65 with other numbers. For example, multiples of 65 include 0, 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, …
The factors of 65 are 1, 5, 13, and 65. When 65 is divided by 1, 5, 13, and 65, the remainder will be zero. These are the factors of 65, meaning that these numbers can divide 65 without any remainder.
Factors of 65:
65 ÷ 1 = 65
65 ÷ 5 = 13
65 ÷ 13 = 5
65 ÷ 65 = 1
Multiples of 65 Examples
Problem 1
Emily is organizing a charity event where each ticket sold contributes $65 to the fundraiser. If she manages to sell tickets consistently over 5 weekends, how much money will the event raise if each weekend she sells 13 tickets?
$4,225
Explanation
Each ticket raises $65, and selling 13 tickets per weekend for 5 weekends will amount to a total sum of 65 multiplied by the total number of tickets sold.
Tickets sold each weekend = 13
Number of weekends = 5
Total tickets sold = 13 × 5 = 65
65 × 65 = $4,225
The charity event will raise $4,225.
Problem 2
Three friends, Alice, Bob, and Charlie, are collecting different sets of stamps. Alice collects 65 stamps, Bob collects the next multiple of 65, and Charlie follows with the third consecutive multiple. How many stamps does each friend collect?
Alice collects 65 stamps, Bob collects 130 stamps, and Charlie collects 195 stamps.
Explanation
The first three multiples of 65 are calculated as follows:
65 × 1 = 65 (Alice)
65 × 2 = 130 (Bob)
65 × 3 = 195 (Charlie)
Therefore, Alice collects 65 stamps, Bob collects 130 stamps, and Charlie collects 195 stamps.
Problem 3
In a technology firm, there are 65 teams, and each team is working on a project that requires 65 components. How many components are required in total?
4,225 components
Explanation
To find the total number of components required, multiply the number of teams by the number of components per team.
Number of teams = 65
Number of components per team = 65
65 × 65 = 4,225
Therefore, 4,225 components are required in total.
Problem 4
A farmer has 5 fields. Each field is planted with 65 rows of corn. How many rows of corn are there in total across all fields?
325 rows
Explanation
The total number of rows of corn can be found by multiplying the number of fields by the number of rows per field.
Number of fields = 5
Number of rows per field = 65
5 × 65 = 325
Thus, there are 325 rows of corn in total.
Problem 5
A library receives new books every month. The first month they receive 65 books, the second month 130 books, and the third month 195 books. How many books does the library receive over these three months?
390 books
Explanation
Add up the number of books received each month:
First month = 65 books
Second month = 130 books
Third month = 195 books
65 + 130 + 195 = 390
Therefore, the library receives a total of 390 books over the three months.
FAQs on Multiples of 65
1.How do you find the multiples of 65?
2.What is the LCM of 5 and 65?
3.What are the real-life applications of Multiples of 65?
4.Are multiples of 65 finite or infinite?
5.Is there any odd multiples of 65?
Important Glossaries for Multiples of 65
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 65 include 65, 130, 195, 260, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 65 are the numbers that consist of the number pattern of 65.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 65 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 5, 13, and 65 are the divisors of 65.
- Least Common Multiple (LCM): It refers to the smallest number that is a multiple of two or more numbers. For example, the LCM of 5 and 65 is 65.
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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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: She has songs for each table which helps her to remember the tables
