133 LearnersLast updated on May 26th, 2025
Multiples of 32
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 32.
What are the Multiples of 32?
Now, let us learn more about multiples of 32. Multiples of 32 are the numbers you get when you multiply 32 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 32 can be denoted as 32 × 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 32 × 1 will give us 32 as the product. Multiples of 32 will be larger or equal to 32.
List of First 20 Multiples of 32
Multiples of 32 include the products of 32 and an integer. Multiples of 32 are divisible by 32 evenly. The first few multiples of 32 are given below:
| TABLE OF 32 (1-10) | |
|---|---|
|
32 x 1 = 32 |
32 x 6 = 192 |
|
32 x 2 = 64 |
32 x 7 = 224 |
|
32 x 3 = 96 |
32 x 8 = 256 |
|
32 x 4 = 128 |
32 x 9 = 288 |
|
32 x 5 = 160 |
32 x 10 = 320 |
| TABLE OF 32 (11-20) | |
|---|---|
|
32 x 11 = 352 |
32 x 16 = 512 |
|
32 x 12 = 384 |
32 x 17 = 544 |
|
32 x 13 = 416 |
32 x 18 = 576 |
|
32 x 14 = 448 |
32 x 19 = 608 |
|
32 x 15 = 480 |
32 x 20 = 640 |
Now, we know the first few multiples of 32. They are 0, 32, 64, 96, 128, 160, 192, 224, 256, 288, 320,...
Operations with Multiples of 32
Understanding the multiples of 32 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 32, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 32:
32, 64, 96, 128, and 160 are the first five multiples of 32. When multiplying 32 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
32 + 64 + 96 + 128 + 160 = 480
When we add the first 5 multiples of 32, the answer will be 480.
Subtraction of first 5 Multiples of 32:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 32, 64, 96, 128, and 160 are the first five multiples of 32. So, let us calculate it as given below:
32 - 64 = -32
-32 - 96 = -128
-128 - 128 = -256
-256 - 160 = -416
Hence, the result of subtracting the first 5 multiples of 32 is -416.
Average of first 5 Multiples of 32:
To calculate the average, we need to identify the sum of the first 5 multiples of 32, 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 32 is 480.
32 + 64 + 96 + 128 + 160 = 480
Next, divide the sum by 5:
480 ÷ 5 = 96
96 is the average of the first 5 multiples of 32.
Product of First 5 Multiples of 32:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 32 include: 32, 64, 96, 128, and 160. Now, the product of these numbers is:
32 × 64 × 96 × 128 × 160 = 1,073,741,824
The product of the first 5 multiples of 32 is 1,073,741,824.
Division of First 5 Multiples of 32:
While we perform division, we get to know how many times 32 can fit into each of the given multiples. 32, 64, 96, 128, and 160 are the first 5 multiples of 32.
32 ÷ 32 = 1
64 ÷ 32 = 2
96 ÷ 32 = 3
128 ÷ 32 = 4
160 ÷ 32 = 5
The results of dividing the first 5 multiples of 32 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 32
While working with multiples of 32, 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 32. 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 32 refer to the products we get while multiplying 32 with other numbers. For example, multiples of 32 include 0, 32, 64, 96, 128, 160, 192, 224, 256, 288, 320….
The factors of 32 are 1, 2, 4, 8, 16, and 32. When 32 is divided by these numbers, the remainder will be zero. These are the factors of 32, meaning that these numbers can divide 32 without any remainder.
Factors of 32:
32 ÷ 1 = 32
32 ÷ 2 = 16
32 ÷ 4 = 8
32 ÷ 8 = 4
32 ÷ 16 = 2
32 ÷ 32 = 1
Multiples of 32 Examples
Problem 1
At a community event, there are tables set up for a charity dinner. Each table can seat 32 people. If the event organizers set up 4 tables, how many people can be seated in total?
128 people
Explanation
To find the total number of people who can be seated, we multiply the number of tables by the number of people each table can seat.
Number of tables = 4
Number of people per table = 32
4 × 32 = 128
Therefore, 128 people can be seated in total.
Problem 2
A company is preparing gift bags for a conference. Each gift bag contains 32 items. If the company prepares the first three multiples of 32 gift bags, how many items do they need in total?
192 items
Explanation
The first three multiples of 32 are 32, 64, and 96.
32 × 1 = 32
32 × 2 = 64
32 × 3 = 96
Total items needed = 32 + 64 + 96 = 192
Therefore, the company needs 192 items in total.
Problem 3
A farmer is planting apple trees in rows. Each row contains 32 apple trees. If the farmer plants 5 rows, how many apple trees are there in total?
160 apple trees
Explanation
To determine the total number of apple trees, we multiply the number of rows by the number of trees per row.
Number of rows = 5
Number of trees per row = 32
5 × 32 = 160
Thus, there are 160 apple trees in total.
Problem 4
In a factory, there are machines producing boxes. Each machine produces 32 boxes per hour. If there are 6 machines operating, how many boxes will be produced in one hour?
192 boxes
Explanation
To find the total number of boxes produced in one hour, we multiply the number of machines by the number of boxes each machine produces per hour.
Number of machines = 6
Number of boxes per machine per hour = 32
6 × 32 = 192
Therefore, 192 boxes will be produced in one hour.
Problem 5
A library receives a shipment of books. The books are packed in boxes, with each box containing 32 books. If there are 3 boxes of books, how many books are there in total?
96 books
Explanation
To find the total number of books, we multiply the number of boxes by the number of books in each box.
Number of boxes = 3
Number of books per box = 32
3 × 32 = 96
Thus, there are 96 books in total.
FAQs on Multiples of 32
1.How do you find the multiples of 32?
2.What is the LCM of 7 and 32?
3.What are the real-life applications of Multiples of 32?
4.Are multiples of 32 finite or infinite?
5.Is there any odd multiple of 32?
Important Glossaries for Multiples of 32
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 32 include 32, 64, 96, 128, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 32 are the numbers that consist of the number pattern of 32.
- 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 32 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, 16, and 32 are the divisors of 32.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each one of the given numbers. For example, the LCM of 7 and 32 is 224.
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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
