173 LearnersLast updated on May 26th, 2025
Multiples of 420
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 420.
What are the Multiples of 420?
Now, let us learn more about multiples of 420. Multiples of 420 are the numbers you get when you multiply 420 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 420 can be denoted as 420 × 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 420 × 1 will give us 420 as the product. Multiples of 420 will be larger or equal to 420.
List of First 20 Multiples of 420
Multiples of 420 include the products of 420 and an integer. Multiples of 420 are divisible by 420 evenly. The first few multiples of 420 are given below:
| TABLE OF 420 (1-10) | |
|---|---|
|
420 x 1 = 420 |
420 x 6 = 2520 |
|
420 x 2 = 840 |
420 x 7 = 2940 |
|
420 x 3 = 1260 |
420 x 8 = 3360 |
|
420 x 4 = 1680 |
420 x 9 = 3780 |
|
420 x 5 = 2100 |
420 x 10 = 4200 |
| TABLE OF 420 (11-20) | |
|---|---|
|
420 x 11 = 4620 |
420 x 16 = 6720 |
|
420 x 12 = 5040 |
420 x 17 = 7140 |
|
420 x 13 = 5460 |
420 x 18 = 7560 |
|
420 x 14 = 5880 |
420 x 19 = 7980 |
|
420 x 15 = 6300 |
420 x 20 = 8400 |
Now, we know the first few multiples of 420. They are 0, 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200,...
Operations with Multiples of 420
Understanding the multiples of 420 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 420, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 420:
420, 840, 1260, 1680, and 2100 are the first five multiples of 420. When multiplying 420 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
420 + 840 + 1260 + 1680 + 2100 = 6300
When we add the first 5 multiples of 420, the answer will be 6300.
Subtraction of first 5 Multiples of 420:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 420, 840, 1260, 1680, and 2100 are the first five multiples of 420. So, let us calculate it as given below:
420 - 840 = -420
-420 - 1260 = -1680
-1680 - 1680 = -3360
-3360 - 2100 = -5460
Hence, the result of subtracting the first 5 multiples of 420 is -5460.
Average of first 5 Multiples of 420:
To calculate the average, we need to identify the sum of the first 5 multiples of 420, and then divide it by the count, i.e., 5. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 420 is 6300.
420 + 840 + 1260 + 1680 + 2100 = 6300
Next, divide the sum by 5:
6300 ÷ 5 = 1260
1260 is the average of the first 5 multiples of 420.
Product of First 5 Multiples of 420:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 420 include 420, 840, 1260, 1680, and 2100. Now, the product of these numbers is:
420 × 840 × 1260 × 1680 × 2100 = 1,499,185,664,000,000
The product of the first 5 multiples of 420 is 1,499,185,664,000,000.
Division of First 5 Multiples of 420:
While we perform division, we get to know how many times 420 can fit into each of the given multiples. 420, 840, 1260, 1680, and 2100 are the first 5 multiples of 420.
420 ÷ 420 = 1
840 ÷ 420 = 2
1260 ÷ 420 = 3
1680 ÷ 420 = 4
2100 ÷ 420 = 5
The results of dividing the first 5 multiples of 420 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 420
While working with multiples of 420, 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 420. 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 420 refer to the products we get while multiplying 420 with other numbers. For example, multiples of 420 include 0, 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200….
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420. When 420 is divided by any of these numbers, the remainder will be zero. These are the factors of 420, meaning that these numbers can divide 420 without any remainder.
Multiples of 420 Examples
Problem 1
A farmer is planting crops in his field. Each section of the field requires 420 seeds to be fully planted. If the farmer has 5 sections to plant, how many seeds does he need in total?
2,100 seeds
Explanation
To find the total number of seeds needed, we multiply the number of seeds per section by the number of sections.
Seeds per section = 420
Number of sections = 5
(420 times 5 = 2,100)
Therefore, the farmer needs 2,100 seeds in total.
Problem 2
In an art exhibition, there are sculptures arranged in rows. Each row contains 420 sculptures. If there are 3 such rows, how many sculptures are displayed in total?
1,260 sculptures
Explanation
To find the total number of sculptures, multiply the number of sculptures per row by the number of rows.
Sculptures per row = 420
Number of rows = 3
(420 times 3 = 1,260)
Thus, there are 1,260 sculptures displayed in total.
Problem 3
A concert hall has seating arranged in groups where each group contains 420 seats. If there are 6 such groups, what is the total seating capacity of the concert hall?
2,520 seats
Explanation
To calculate the total seating capacity, multiply the number of seats in each group by the number of groups.
Seats per group = 420
Number of groups = 6
(420 times 6 = 2,520)
Therefore, the total seating capacity of the hall is 2,520 seats.
Problem 4
A company produces 420 units of a product in a single batch. If they complete 8 batches in a month, how many units are produced by the end of the month?
3,360 units
Explanation
To find the total number of units produced, multiply the number of units per batch by the number of batches.
Units per batch = 420
Number of batches = 8
(420 times 8 = 3,360)
So, by the end of the month, 3,360 units are produced.
Problem 5
At a charity event, every ticket sold represents a donation of $420. If 7 tickets are sold, what is the total amount donated?
$2,940
Explanation
To determine the total donation amount, multiply the donation per ticket by the number of tickets sold.
Donation per ticket = $420
Number of tickets sold = 7
(420 times 7 = 2,940)
Therefore, the total amount donated is $2,940.
FAQs on Multiples of 420
1.How do you find the multiples of 420?
2.What is the LCM of 7 and 420?
3.What are the real-life applications of Multiples of 420?
4.Are multiples of 420 finite or infinite?
5.Is there any odd multiple of 420?
6.How can children in Oman use numbers in everyday life to understand Multiples of 420?
7.What are some fun ways kids in Oman can practice Multiples of 420 with numbers?
8.What role do numbers and Multiples of 420 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Multiples of 420 skills?
Important Glossaries for Multiples of 420
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 420 include 420, 840, 1260, 1680, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 420 are the numbers that consist of the number pattern of 420.
- Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 420 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420 are the divisors of 420.
- LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 420 is 420.
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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
