204 LearnersLast updated on May 26th, 2025
Multiples of 42
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 42.
What are the Multiples of 42?
Now, let us learn more about multiples of 42. Multiples of 42 are the numbers you get when you multiply 42 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 42 can be denoted as 42 × 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 42 × 1 will give us 42 as the product. Multiples of 42 will be larger or equal to 42.
List of First 20 Multiples of 42
Multiples of 42 include the products of 42 and an integer. Multiples of 42 are divisible by 42 evenly. The first few multiples of 42 are given below:
| TABLE OF 42 (1-10) | |
|---|---|
|
42 x 1 = 42 |
42 x 6 = 252 |
|
42 x 2 = 84 |
42 x 7 = 294 |
|
42 x 3 = 126 |
42 x 8 = 336 |
|
42 x 4 = 168 |
42 x 9 = 378 |
|
42 x 5 = 210 |
42 x 10 = 420 |
| TABLE OF 42 (11-20) | |
|---|---|
|
42 x 11 = 462 |
42 x 16 = 672 |
|
42 x 12 = 504 |
42 x 17 = 714 |
|
42 x 13 = 546 |
42 x 18 = 756 |
|
42 x 14 = 588 |
42 x 19 = 798 |
|
42 x 15 = 630 |
42 x 20 = 840 |
Now, we know the first few multiples of 42. They are 0, 42, 84, 126, 168, 210, 252, 294, 336, 378, 420,...
Operations with Multiples of 42
Understanding the multiples of 42 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 42, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 42:
42, 84, 126, 168, and 210 are the first five multiples of 42. When multiplying 42 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
42 + 84 + 126 + 168 + 210 = 630
When we add the first 5 multiples of 42, the answer will be 630.
Subtraction of first 5 Multiples of 42:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 42, 84, 126, 168, and 210 are the first five multiples of 42. So, let us calculate it as given below:
42 - 84 = -42
-42 - 126 = -168
-168 - 168 = -336
-336 - 210 = -546
Hence, the result of subtracting the first 5 multiples of 42 is -546.
Average of first 5 Multiples of 42:
To calculate the average, we need to identify the sum of the first 5 multiples of 42, 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 42 is 630.
42 + 84 + 126 + 168 + 210 = 630
Next, divide the sum by 5:
630 ÷ 5 = 126
126 is the average of the first 5 multiples of 42.
Product of First 5 Multiples of 42:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 42 include: 42, 84, 126, 168, and 210. Now, the product of these numbers is:
42 × 84 × 126 × 168 × 210 = 311,875,200
The product of the first 5 multiples of 42 is 311,875,200.
Division of First 5 Multiples of 42:
While we perform division, we get to know how many times 42 can fit into each of the given multiples. 42, 84, 126, 168, and 210 are the first 5 multiples of 42.
42 ÷ 42 = 1
84 ÷ 42 = 2
126 ÷ 42 = 3
168 ÷ 42 = 4
210 ÷ 42 = 5
The results of dividing the first 5 multiples of 42 are 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 42
While working with Multiples of 42, 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 42. 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 42 refer to the products we get while multiplying 42 with other numbers. For example, multiples of 42 include 0, 42, 84, 126, 168, 210, 252, 294, 336, 378, 420…
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. When 42 is divided by these numbers, the remainder will be zero.
These are the factors of 42, meaning that these numbers can divide 42 without any remainder.
Factors of 42:
42 ÷ 1 = 42
42 ÷ 2 = 21
42 ÷ 3 = 14
42 ÷ 6 = 7
42 ÷ 7 = 6
42 ÷ 14 = 3
42 ÷ 21 = 2
42 ÷ 42 = 1
Multiples of 42 Examples
Problem 1
In a community event, every participant donates 42 units of canned goods. If there are 6 participants, how many canned goods are collected in total?
252 canned goods
Explanation
Each participant donates 42 canned goods. With 6 participants, the total is calculated as follows:
Units donated per participant = 42
Number of participants = 6
42 × 6 = 252
Therefore, a total of 252 canned goods are collected.
Problem 2
A factory produces batches of 42 widgets each day. Over the course of 5 days, how many widgets are produced?
210 widgets
Explanation
The factory produces 42 widgets per day. To find the total production over 5 days, multiply the daily production by the number of days.
Widgets produced per day = 42
Number of days = 5
42 × 5 = 210
Thus, 210 widgets are produced in 5 days.
Problem 3
In a cycling club, members ride in groups with 42 kilometers covered by each group. If there are 4 groups, what is the total distance covered?
168 kilometers
Explanation
Each group covers 42 kilometers. The total distance covered by 4 groups is calculated as follows:
Distance covered per group = 42 km
Number of groups = 4
42 × 4 = 168
Therefore, the total distance covered is 168 kilometers.
Problem 4
A gardener plants 42 seeds in each of 3 garden plots. How many seeds are planted in total?
126 seeds
Explanation
The gardener plants 42 seeds per plot. To find the total number of seeds planted, multiply the number of seeds by the number of plots.
Number of seeds per plot = 42
Number of plots = 3
42 × 3 = 126
Thus, 126 seeds are planted in total.
Problem 5
A music band has a concert series where each concert is attended by 42 audience members. If there are 7 concerts, what is the total attendance?
294 audience members
Explanation
Each concert is attended by 42 people. To find the total attendance, multiply the attendance by the number of concerts.
Audience per concert = 42
Number of concerts = 7
42 × 7 = 294
Therefore, the total attendance across all concerts is 294 people.
FAQs on Multiples of 42
1.How do you find the multiples of 42?
2.What is the LCM of 6 and 42?
3.What are the real-life applications of Multiples of 42?
4.Are multiples of 42 finite or infinite?
5.Is there any odd multiples of 42?
Important Glossaries for Multiples of 42
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 42 include 42, 84, 126, 168, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 42 are the numbers that consist of the number pattern of 42.
- 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 42 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 7, 14, 21, and 42 are the divisors of 42.
- LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 6 and 42 is 42.
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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
