181 LearnersLast updated on May 26th, 2025
Multiples of 16
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 16.
What are the Multiples of 16?
Now, let us learn more about multiples of 16. Multiples of 16 are the numbers you get when you multiply 16 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 16 can be denoted as 16 × 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 16 × 1 will give us 16 as the product. Multiples of 16 will be larger or equal to 16.
List of First 20 Multiples of 16
Multiples of 16 include the products of 16 and an integer. Multiples of 16 are divisible by 16 evenly. The first few multiples of 16 are given below:
| TABLE OF 16 (1-10) | |
|---|---|
|
16 x 1 = 16 |
16 x 6 = 96 |
|
16 x 2 = 32 |
16 x 7 = 112 |
|
16 x 3 = 48 |
16 x 8 = 128 |
|
16 x 4 = 64 |
16 x 9 = 144 |
|
16 x 5 = 80 |
16 x 10 = 160 |
| TABLE OF 16 (11-20) | |
|---|---|
|
16 x 11 = 176 |
16 x 16 = 256 |
|
16 x 12 = 192 |
16 x 17 = 272 |
|
16 x 13 = 208 |
16 x 18 = 288 |
|
16 x 14 = 224 |
16 x 19 = 304 |
|
16 x 15 = 240 |
16 x 20 = 320 |
Now, we know the first few multiples of 16. They are 0, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160,...
Operations with Multiples of 16
Understanding the multiples of 16 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 16, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 16:
16, 32, 48, 64, and 80 are the first five multiples of 16. When multiplying 16 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
16 + 32 + 48 + 64 + 80 = 240
When we add the first 5 multiples of 16, the answer will be 240.
Subtraction of first 5 Multiples of 16:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 16, 32, 48, 64, and 80 are the first five multiples of 16. So, let us calculate it as given below:
16 - 32 = -16
-16 - 48 = -64
-64 - 64 = -128
-128 - 80 = -208
Hence, the result of subtracting the first 5 multiples of 16 is -208.
Average of first 5 Multiples of 16:
To calculate the average, we need to identify the sum of the first 5 multiples of 16 and then divide it by the count, i.e., 5. There are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 16 is 240.
16 + 32 + 48 + 64 + 80 = 240
Next, divide the sum by 5:
240 ÷ 5 = 48
48 is the average of the first 5 multiples of 16.
Product of First 5 Multiples of 16:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 16 include: 16, 32, 48, 64, and 80. Now, the product of these numbers is:
16 × 32 × 48 × 64 × 80 = 1,572,864,000
The product of the first 5 multiples of 16 is 1,572,864,000.
Division of First 5 Multiples of 16:
While we perform division, we get to know how many times 16 can fit into each of the given multiples. 16, 32, 48, 64, and 80 are the first 5 multiples of 16.
16 ÷ 16 = 1
32 ÷ 16 = 2
48 ÷ 16 = 3
64 ÷ 16 = 4
80 ÷ 16 = 5
The results of dividing the first 5 multiples of 16 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 16
While working with multiples of 16, 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 16. 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 16 refer to the products we get while multiplying 16 with other numbers. For example, multiples of 16 include 0, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160,…
The factors of 16 are 1, 2, 4, 8, and 16. When 16 is divided by these numbers, the remainder will be zero. These are the factors of 16, meaning that these numbers can divide 16 without any remainder.
Factors of 16:
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
Multiples of 16 Examples
Problem 1
Lila is organizing a fitness challenge where participants are encouraged to complete exercises in sets. She decides that each set will consist of 16 push-ups, and participants will complete one set each day. How many push-ups will a participant complete after 3 weeks?
336 push-ups
Explanation
Each day, participants complete 16 push-ups. To find the total number of push-ups after 3 weeks, multiply the number of push-ups per day by the number of days in 3 weeks.
Push-ups per day = 16
Number of days in 3 weeks = 21
16 × 21 = 336
Therefore, a participant will complete 336 push-ups after 3 weeks.
Problem 2
Arjun, Priya, and Neha are collecting stamps. Arjun has collected stamps in bundles that are multiples of 16. The first three bundles contain the stamps in the series of the first three multiples of 16. How many stamps does each of them have if they follow this series?
Arjun collected 16 stamps, Priya collected 32 stamps, and Neha collected 48 stamps.
Explanation
The first three multiples of 16 are 16, 32, and 48.
16 × 1 = 16
16 × 2 = 32
16 × 3 = 48
Arjun collected 16 stamps, Priya collected 32 stamps, and Neha collected 48 stamps.
Problem 3
In a coding bootcamp, there are 16 computers in each lab. If there are 5 labs in the bootcamp, how many computers are in total?
80 computers
Explanation
To find the total number of computers, multiply the number of labs by the number of computers in each lab.
Number of labs = 5
Number of computers in each lab = 16
5 × 16 = 80
Therefore, there are 80 computers in total at the bootcamp.
Problem 4
A factory produces boxes in units of 16. If the factory operates 4 shifts a day and each shift produces one unit, how many boxes does the factory produce in a day?
64 boxes
Explanation
Multiply the number of shifts by the number of boxes produced per shift.
Number of shifts per day = 4
Number of boxes per shift = 16
4 × 16 = 64
The factory produces 64 boxes in a day.
Problem 5
Maya is organizing her art supplies. She has 16 colored pencils in the first drawer, 32 in the second drawer, and 48 in the third drawer. How many colored pencils does she have in total?
96 colored pencils
Explanation
Add the number of colored pencils in each drawer.
First drawer = 16 pencils
Second drawer = 32 pencils
Third drawer = 48 pencils
16 + 32 + 48 = 96
Therefore, Maya has a total of 96 colored pencils.
FAQs on Multiples of 16
1.How do you find the multiples of 16?
2.What is the LCM of 7 and 16?
3.What are the real-life applications of Multiples of 16?
4.Are multiples of 16 finite or infinite?
5.Is there any odd multiple of 16?
Important Glossaries for Multiples of 16
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 16 include 16, 32, 48, 64, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 16 are the numbers that consist of the number pattern of 16.
- 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 16 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 8, and 16 are the divisors of 16.
- Least Common Multiple (LCM): The smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 16 is 112.
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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
