187 LearnersLast updated on May 26th, 2025
Multiples of 2
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 2.
What are the Multiples of 2?
Now, let us learn more about multiples of 2. Multiples of 2 are the numbers you get when you multiply 2 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 2 can be denoted as 2 × 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 2 × 1 will give us 2 as the product. Multiples of 2 will be larger or equal to 2.
List of First 20 Multiples of 2
Multiples of 2 include the products of 2 and an integer. Multiples of 2 are divisible by 2 evenly. The first few multiples of 2 are given below:
| TABLE OF 2 (1-10) | |
|---|---|
|
2 x 1 = 2 |
2 x 6 = 12 |
|
2 x 2 = 4 |
2 x 7 = 14 |
|
2 x 3 = 6 |
2 x 8 = 16 |
|
2 x 4 = 8 |
2 x 9 = 18 |
|
2 x 5 = 10 |
2 x 10 = 20 |
| TABLE OF 2 (11-20) | |
|---|---|
|
2 x 11 = 22 |
2 x 16 = 32 |
|
2 x 12 = 24 |
2 x 17 = 34 |
|
2 x 13 = 26 |
2 x 18 = 36 |
|
2 x 14 = 28 |
2 x 19 = 38 |
|
2 x 15 = 30 |
2 x 20 = 40 |
Now, we know the first few multiples of 2. They are 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20,...
Operations with Multiples of 2
Understanding the multiples of 2 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 2, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 2:
2, 4, 6, 8, and 10 are the first five multiples of 2. When multiplying 2 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
2 + 4 + 6 + 8 + 10 = 30
When we add the first 5 multiples of 2, the answer will be 30.
Subtraction of first 5 Multiples of 2:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 2, 4, 6, 8, and 10 are the first five multiples of 2. So, let us calculate it as given below:
2 - 4 = -2
-2 - 6 = -8
-8 - 8 = -16
-16 - 10 = -26
Hence, the result of subtracting the first 5 multiples of 2 is -26.
Average of first 5 Multiples of 2:
To calculate the average, we need to identify the sum of the first 5 multiples of 2, and then divide it by the count, i.e., 5. Because 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 2 is 30.
2 + 4 + 6 + 8 + 10 = 30
Next, divide the sum by 5:
30 ÷ 5 = 6
6 is the average of the first 5 multiples of 2.
Product of First 5 Multiples of 2:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 2 include: 2, 4, 6, 8, and 10. Now, the product of these numbers is:
2 × 4 × 6 × 8 × 10 = 3,840
The product of the first 5 multiples of 2 is 3,840.
Division of First 5 Multiples of 2:
While we perform division, we get to know how many times 2 can fit into each of the given multiples. 2, 4, 6, 8, and 10 are the first 5 multiples of 2.
2 ÷ 2 = 1
4 ÷ 2 = 2
6 ÷ 2 = 3
8 ÷ 2 = 4
10 ÷ 2 = 5
The results of dividing the first 5 multiples of 2 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 2
While working with Multiples of 2, 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 2. 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 2 refer to the products we get while multiplying 2 with other numbers. For example, multiples of 2 include 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
The factors of 2 are 1 and 2. When 2 is divided by 1 and 2, the remainder will be zero. These are the factors of 2 meaning that these numbers can divide 2 without any remainder.
Factors of 2:
2 ÷ 1 = 2
2 ÷ 2 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 2 include 2, 4, 6, 8, 10, 12, …..20, 22,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 2, the result will still be a multiple of 2. For example, children may write,
2 + 4 = 7 (which is wrong and the correct answer is 6)
This is incorrect because 7 is not a multiple of 2. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 2.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 2, and any other number, is zero; it has a valid value. Remember this:
2 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 2 + 2 + 2 + 2 + 2. Instead of adding too many values, use multiplication. Calculate 2 × n for the nth multiple.
For example, instead of 2 + 2 + 2 + 2 + 2, calculate it as given below:
2 × 5 = 10
Multiples of 2 Examples
Problem 1
Lily is organizing a charity event where she plans to give out packets of seeds. Each packet contains 2 seeds. If she prepares 6 rounds of distributions, giving the same number of packets in each round, how many seeds will she distribute in total?
12 seeds
Explanation
Each round, she gives out the same number of seed packets. To find the total number of seeds distributed after 6 rounds, we multiply the number of seeds per packet by the number of rounds.
Seeds per packet = 2
Number of rounds = 6
2 × 6 = 12
She will distribute 12 seeds in total.
---
Problem 2
During a science project, Alex, Betty, and Charlie are measuring the growth of plants. Alex's plant grows in increments of 2 cm, Betty's grows by 4 cm, and Charlie's by 6 cm. How much will each plant grow after 5 weeks?
Alex's plant: 10 cm, Betty's plant: 20 cm, Charlie's plant: 30 cm
Explanation
Each plant grows by a multiple of 2. After identifying the growth rate for each, we can calculate the total growth after 5 weeks.
Alex's growth: 2 cm/week × 5 weeks = 10 cm
Betty's growth: 4 cm/week × 5 weeks = 20 cm
Charlie's growth: 6 cm/week × 5 weeks = 30 cm
Thus, Alex's plant will grow by 10 cm, Betty's by 20 cm, and Charlie's by 30 cm.
---
Problem 3
In a computer lab, each computer has 2 USB ports. If there are 12 computers in the lab, how many USB ports are available in total?
24 USB ports
Explanation
To find the total number of USB ports, we need to multiply the number of computers by the number of USB ports per computer.
Number of computers = 12
Number of USB ports per computer = 2
12 × 2 = 24
There are 24 USB ports available in the lab.
---
Problem 4
Mia is making bracelets and uses 2 beads for each bracelet. If she plans to make 15 bracelets, how many beads does she need in total?
30 beads
Explanation
To find the total number of beads Mia needs, we multiply the number of beads per bracelet by the total number of bracelets.
Number of beads per bracelet = 2
Number of bracelets = 15
2 × 15 = 30
Mia needs 30 beads in total.
---
Problem 5
In a theater, each row has 2 emergency exit signs. If there are 20 rows, how many emergency exit signs are there in total?
40 exit signs
Explanation
To find the total number of exit signs, multiply the number of exit signs per row by the total number of rows.
Number of exit signs per row = 2
Number of rows = 20
2 × 20 = 40
There are 40 emergency exit signs in total.
FAQs on Multiples of 2
1.How do you find the multiples of 2?
2.What is the LCM of 3 and 2?
3.What are the real-life applications of Multiples of 2?
4.Are multiples of 2 finite or infinite?
5.Is there any odd multiple of 2?
Important Glossaries for Multiples of 2
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 2 include 2, 4, 6, 8, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 2 are the numbers that consist of the number pattern of 2.
- 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 2 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 2 are the divisors of 2.
- LCM (Least Common Multiple): The smallest multiple that is common between two or more numbers.
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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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