154 LearnersLast updated on May 26th, 2025
Multiples of 87
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 87.
What are the Multiples of 87?
Now, let us learn more about multiples of 87. Multiples of 87 are the numbers you get when you multiply 87 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 87 can be denoted as 87 × 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 87 × 1 will give us 87 as the product. Multiples of 87 will be larger or equal to 87.
List of First 20 Multiples of 87
Multiples of 87 include the products of 87 and an integer. Multiples of 87 are divisible by 87 evenly. The first few multiples of 87 are given below:
Operations with Multiples of 87
Understanding the multiples of 87 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 87, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 87:
87, 174, 261, 348, and 435 are the first five multiples of 87. When multiplying 87 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
87 + 174 + 261 + 348 + 435 = 1305
When we add the first 5 multiples of 87 the answer will be 1305.
Subtraction of first 5 Multiples of 87:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 87, 174, 261, 348, and 435 are the first five multiples of 87. So, let us calculate it as given below:
87 - 174 = -87
-87 - 261 = -348
-348 - 348 = -696
-696 - 435 = -1131
Hence, the result of subtracting the first 5 multiples of 87 is -1131.
Average of first 5 Multiples of 87:
To calculate the average, we need to identify the sum of the first 5 multiples of 87, 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 87 is 1305.
87 + 174 + 261 + 348 + 435 = 1305
Next, divide the sum by 5:
1305 ÷ 5 = 261
261 is the average of the first 5 multiples of 87.
Product of First 5 Multiples of 87:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 87 include: 87, 174, 261, 348, and 435. Now, the product of these numbers is:
87 × 174 × 261 × 348 × 435 = 147,008,443,320
The product of the first 5 multiples of 87 is 147,008,443,320.
Division of First 5 Multiples of 87:
While we perform division, we get to know how many times 87 can fit into each of the given multiples. 87, 174, 261, 348, and 435 are the first 5 multiples of 87.
87 ÷ 87 = 1
174 ÷ 87 = 2
261 ÷ 87 = 3
348 ÷ 87 = 4
435 ÷ 87 = 5
The results of dividing the first 5 multiples of 87 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 87
While working with multiples of 87, 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 87. 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 87 refer to the products we get while multiplying 87 with other numbers. For example, multiples of 87 include 0, 87, 174, 261, 348, 435, 522, 609, 696, 783, 870,….
The factors of 87 are 1, 3, 29, and 87. When 87 is divided by 1, 3, 29, and 87 the remainder will be zero. These are the factors of 87 meaning that these numbers can divide 87 without any remainder.
Factors of 87:
87 ÷ 1 = 87
87 ÷ 3 = 29
87 ÷ 29 = 3
87 ÷ 87 = 1
Multiples of 87 Examples
Problem 1
A group of artists is participating in a mural project. Each artist completes 87 square feet of the mural every week. If there are 5 artists participating, how much of the mural will be completed after 3 weeks?
1,305 square feet
Explanation
Each artist completes 87 square feet per week, and there are 5 artists. Over 3 weeks, the total area completed is calculated by multiplying the weekly completion by the number of artists and weeks.
Completion per artist per week = 87 square feet
Number of artists = 5
Number of weeks = 3
(87 X 5 X 3 = 1,305) square feet
Therefore, they will complete 1,305 square feet of the mural after 3 weeks.
Problem 2
A new subscription box service sends out themed boxes each month. In the first month, they send out 87 boxes, and in the second month, they send out twice as many as the first. In the third month, they triple the first month's total. How many boxes are sent in total over the three months?
696 boxes
Explanation
Calculate the total number of boxes sent each month, then sum them up.
First month: 87 boxes
Second month: (87 X 2 = 174) boxes
Third month: (87 X 3 = 261) boxes
Total: (87 + 174 + 261 = 522) boxes
Therefore, a total of 522 boxes are sent over the three months.
Problem 3
In a large orchard, each tree produces 87 apples annually. If there are 8 rows of trees with 4 trees in each row, how many apples are produced in total each year?
2,784 apples
Explanation
First, calculate the total number of trees, then multiply by the apples produced per tree.
Number of rows = 8
Trees per row = 4
Total trees = (8 X 4 = 32)
Apples per tree = 87
Total apples = (32 X 87 = 2,784)
Therefore, the orchard produces 2,784 apples annually.
Problem 4
A video game developer creates levels with 87 challenges each. If a player completes the first four levels, how many challenges have they completed?
348 challenges
Explanation
Multiply the number of challenges per level by the number of levels completed.
Challenges per level = 87
Number of levels = 4
(87 X 4 = 348)
Therefore, the player completes 348 challenges after four levels.
Problem 5
In a marathon event, every runner receives 87 energy bars. If there are 10 runners and each receives the same number of energy bars, how many energy bars are distributed in total?
870 energy bars
Explanation
Multiply the number of energy bars per runner by the total number of runners.
Energy bars per runner = 87
Number of runners = 10
(87 X 10 = 870)
Therefore, a total of 870 energy bars are distributed among the runners.
FAQs on Multiples of 87
1.How do you find the multiples of 87?
2.What is the LCM of 7 and 87?
3.What are the real-life applications of Multiples of 87?
4.Are multiples of 87 finite or infinite?
5.Is there any odd multiples of 87?
Important Glossaries for Multiples of 87
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 87 include 87, 174, 261, 348, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 87 are the numbers that consist of the number pattern of 87.
- Odd number: An odd number cannot be evenly divided by 2. All multiples of 87 can be either odd or even, depending on the multiplier.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 29, and 87 are the divisors of 87.
- Least Common Multiple (LCM): The smallest multiple that is common to two or more numbers. For example, the LCM of 7 and 87 is 609.
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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
