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163 LearnersLast updated on February 3rd, 2025
Multiples of 89
In math, multiples are the products we get when 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 89.
What are the Multiples of 89?
Now, let us learn more about multiples of 89. Multiples of 89 are the numbers you get when you multiply 89 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 89 can be denoted as 89 × 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 89 × 1 will give us 89 as the product. Multiples of 89 will be larger or equal to 89.
List of First 20 Multiples of 89
Multiples of 89 include the products of 89 and an integer. Multiples of 89 are divisible by 89 evenly. The first few multiples of 89 are given below:
| TABLE OF 89 (1-10) | |
|---|---|
|
89 x 1 = 89 |
89 x 6 = 534 |
|
89 x 2 = 178 |
89 x 7 = 623 |
|
89 x 3 = 267 |
89 x 8 = 712 |
|
89 x 4 = 356 |
89 x 9 = 801 |
|
89 x 5 = 445 |
89 x 10 = 890 |
| TABLE OF 89 (11-20) | |
|---|---|
|
89 x 11 = 979 |
89 x 16 = 1424 |
|
89 x 12 = 1068 |
89 x 17 = 1513 |
|
89 x 13 = 1157 |
89 x 18 = 1602 |
|
89 x 14 = 1246 |
89 x 19 = 1691 |
|
89 x 15 = 1335 |
89 x 20 = 1780 |
Now, we know the first few multiples of 89. They are 0, 89, 178, 267, 356, 445, 534, 623, 712, 801, 890,...
Operations with Multiples of 89
Understanding the multiples of 89 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 89, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 89:
89, 178, 267, 356, and 445 are the first five multiples of 89. When multiplying 89 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
89 + 178 + 267 + 356 + 445 = 1335
When we add the first 5 multiples of 89, the answer will be 1335.
Subtraction of First 5 Multiples of 89:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 89, 178, 267, 356, and 445 are the first five multiples of 89. So, let us calculate it as given below:
89 - 178 = -89
-89 - 267 = -356
-356 - 356 = -712
-712 - 445 = -1157
Hence, the result of subtracting the first 5 multiples of 89 is -1157.
Average of First 5 Multiples of 89:
To calculate the average, we need to identify the sum of the first 5 multiples of 89, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. We know the sum of the first 5 multiples of 89 is 1335.
89 + 178 + 267 + 356 + 445 = 1335
Next, divide the sum by 5:
1335 ÷ 5 = 267
267 is the average of the first 5 multiples of 89.
Product of First 5 Multiples of 89:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 89 include: 89, 178, 267, 356, and 445. Now, the product of these numbers is:
89 × 178 × 267 × 356 × 445 = 2,083,863,010
The product of the first 5 multiples of 89 is 2,083,863,010.
Division of First 5 Multiples of 89:
While we perform division, we get to know how many times 89 can fit into each of the given multiples. 89, 178, 267, 356, and 445 are the first 5 multiples of 89.
89 ÷ 89 = 1
178 ÷ 89 = 2
267 ÷ 89 = 3
356 ÷ 89 = 4
445 ÷ 89 = 5
The results of dividing the first 5 multiples of 89 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 89
While working with multiples of 89, 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 89. 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 89 refer to the products we get while multiplying 89 with other numbers. For example, multiples of 89 include 0, 89, 178, 267, 356, 445, 534, 623, 712, 801, 890…
The factors of 89 are 1 and 89, as 89 is a prime number. These are the factors of 89 meaning that these numbers can divide 89 without any remainder.
Factors of 89:
89 ÷ 1 = 89
89 ÷ 89 = 1
Multiples of 89 Examples
Problem 1
Emma and her art club are creating paintings for a local exhibition. Each month, they complete 89 paintings. If they continue at this rate, how many paintings will they have completed after 3 months?
267 paintings
Explanation
Each month they complete 89 paintings. To find the total number of paintings after 3 months, we multiply 89 by 3.
Paintings completed each month = 89
Number of months = 3
89 × 3 = 267
They will have completed 267 paintings after 3 months.
Problem 2
A new skyscraper has floors being constructed in multiples of 89. The first floor is at 89 meters, the second at 178 meters, and the third at 267 meters. At what height is each floor being constructed?
The first three multiples of 89 are 89, 178, and 267. The first floor is at 89 meters, the second floor at 178 meters, and the third floor at 267 meters.
Explanation
We identify the first three multiples of 89:
89 × 1 = 89
89 × 2 = 178
89 × 3 = 267
Hence, the floors are constructed at heights of 89 meters, 178 meters, and 267 meters, respectively.
Problem 3
In a new housing development, there are 89 houses on each street. If there are 6 streets in the development, how many houses are there in total?
534 houses
Explanation
To find the total number of houses, we multiply the number of houses on each street by the number of streets.
Number of houses per street = 89
Number of streets = 6
89 × 6 = 534
Therefore, there are a total of 534 houses in the development.
Problem 4
A library arranges its collection of rare manuscripts in sections of 89. If there are 7 sections, how many manuscripts are there in total?
623 manuscripts
Explanation
To find the total number of manuscripts, multiply the number of manuscripts per section by the number of sections.
Number of manuscripts per section = 89
Number of sections = 7
89 × 7 = 623
So, there are 623 manuscripts in total in the library.
Problem 5
During a charity event, a group of volunteers aims to pack boxes of supplies. They pack 89 boxes on the first day, 178 on the second day, and 267 on the third day. How many boxes do they pack in total over the three days?
534 boxes
Explanation
The volunteers packed 89 boxes on the first day, 178 on the second, and 267 on the third. To find the total number of boxes:
89 + 178 + 267 = 534
Therefore, they pack a total of 534 boxes over the three days.
FAQs on Multiples of 89
1.How do you find the multiples of 89?
2.What is the LCM of 7 and 89?
3.What are the real-life applications of multiples of 89?
4.Are multiples of 89 finite or infinite?
5.Are there any odd multiples of 89?
Important Glossaries for Multiples of 89
- Multiple: A multiple represents the product of a number that is multiplied by an integer. For example, multiples of 89 include 89, 178, 267, 356, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 89 are the numbers that consist of the number pattern of 89.
- Odd number: An odd number is a number that cannot be divided by 2 without leaving a remainder. All multiples of 89 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving a remainder. For 89, the divisors are 1 and 89 as it is a prime number.
- Prime number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 89 is a prime number.
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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
