163 LearnersLast updated on May 26th, 2025
Multiples of 140
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 140.
What are the Multiples of 140?
Now, let us learn more about multiples of 140. Multiples of 140 are the numbers you get when you multiply 140 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 140 can be denoted as 140 × 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 140 × 1 will give us 140 as the product. Multiples of 140 will be larger or equal to 140.
List of First 20 Multiples of 140
Multiples of 140 include the products of 140 and an integer. Multiples of 140 are divisible by 140 evenly. The first few multiples of 140 are given below:
| TABLE OF 140 (1-10) | |
|---|---|
|
140 x 1 = 140 |
140 x 6 = 840 |
|
140 x 2 = 280 |
140 x 7 = 980 |
|
140 x 3 = 420 |
140 x 8 = 1120 |
|
140 x 4 = 560 |
140 x 9 = 1260 |
|
140 x 5 = 700 |
140 x 10 = 1400 |
| TABLE OF 140 (11-20) | |
|---|---|
|
140 x 11 = 1540 |
140 x 16 = 2240 |
|
140 x 12 = 1680 |
140 x 17 = 2380 |
|
140 x 13 = 1820 |
140 x 18 = 2520 |
|
140 x 14 = 1960 |
140 x 19 = 2660 |
|
140 x 15 = 2100 |
140 x 20 = 2800 |
Now, we know the first few multiples of 140. They are 0, 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400,...
Operations with Multiples of 140
Understanding the multiples of 140 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 140, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 140:
140, 280, 420, 560, and 700 are the first five multiples of 140. When multiplying 140 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
140 + 280 + 420 + 560 + 700 = 2100
When we add the first 5 multiples of 140, the answer will be 2100.
Subtraction of first 5 Multiples of 140:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 140, 280, 420, 560, and 700 are the first five multiples of 140. So, let us calculate it as given below:
140 - 280 = -140
-140 - 420 = -560
-560 - 560 = -1120
-1120 - 700 = -1820
Hence, the result of subtracting the first 5 multiples of 140 is -1820.
Average of first 5 Multiples of 140:
To calculate the average, we need to identify the sum of the first 5 multiples of 140, 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 140 is 2100.
140 + 280 + 420 + 560 + 700 = 2100
Next, divide the sum by 5:
2100 ÷ 5 = 420
420 is the average of the first 5 multiples of 140.
Product of First 5 Multiples of 140:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 140 include: 140, 280, 420, 560, and 700. Now, the product of these numbers is:
140 × 280 × 420 × 560 × 700 = 92,236,800,000
The product of the first 5 multiples of 140 is 92,236,800,000.
Division of First 5 Multiples of 140:
While we perform division, we get to know how many times 140 can fit into each of the given multiples. 140, 280, 420, 560, and 700 are the first 5 multiples of 140.
140 ÷ 140 = 1
280 ÷ 140 = 2
420 ÷ 140 = 3
560 ÷ 140 = 4
700 ÷ 140 = 5
The results of dividing the first 5 multiples of 140 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 140
While working with Multiples of 140, 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 140. 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 140 refer to the products we get while multiplying 140 with other numbers. For example, multiples of 140 include 0, 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400….
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140. When 140 is divided by these numbers, the remainder will be zero. These are the factors of 140 meaning that these numbers can divide 140 without any remainder.
Factors of 140:
140 ÷ 1 = 140
140 ÷ 2 = 70
140 ÷ 4 = 35
140 ÷ 5 = 28
Multiples of 140 Examples
Problem 1
In a large orchard, apple trees are planted in rows with each row containing 140 trees. If the orchard has been expanded over the years to contain 5 such rows, how many apple trees are there in total?
700 trees
Explanation
Each row contains 140 trees. To find the total number of trees, we multiply the number of rows by the number of trees per row.
Number of rows = 5
Number of trees per row = 140
5 × 140 = 700
Therefore, there are 700 apple trees in total.
Problem 2
A factory produces widgets in batches, with each batch consisting of 140 widgets. If the factory operates for 3 weeks and produces 2 batches per week, how many widgets does the factory produce in total?
840 widgets
Explanation
The factory produces 2 batches per week and each batch contains 140 widgets. The total production over 3 weeks is calculated as follows:
Batches per week = 2
Number of weeks = 3
Widgets per batch = 140
2 × 3 × 140 = 840
Thus, the factory produces 840 widgets in total.
Problem 3
During a charity event, organizers pack gift baskets for children. Each basket contains 140 treats. If they prepare a total of 6 baskets, how many treats are packed altogether?
840 treats
Explanation
Each basket has 140 treats. To find the total number of treats, we multiply the number of baskets by the treats per basket.
Number of baskets = 6
Treats per basket = 140
6 × 140 = 840
Therefore, 840 treats are packed in total.
Problem 4
A concert hall has seats arranged in sections, with each section containing 140 seats. If there are 4 sections, how many seats are there in the concert hall?
560 seats
Explanation
Each section contains 140 seats. To determine the total number of seats, multiply the number of sections by the number of seats per section.
Number of sections = 4
Seats per section = 140
4 × 140 = 560
Hence, there are 560 seats in the concert hall.
Problem 5
A publishing company prints magazines in bundles, with each bundle containing 140 magazines. If they print 7 bundles, how many magazines are printed in total?
980 magazines
Explanation
Each bundle has 140 magazines. To find the total number of magazines printed, multiply the number of bundles by the magazines per bundle.
Number of bundles = 7
Magazines per bundle = 140
7 × 140 = 980
Thus, the total number of magazines printed is 980.
FAQs on Multiples of 140
1.How do you find the multiples of 140?
2.What is the LCM of 7 and 140?
3.What are the real-life applications of Multiples of 140?
4.Are multiples of 140 finite or infinite?
5.Is there any odd multiple of 140?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 140?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 140 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 140?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 140 among early learners in United States?
Important Glossaries for Multiples of 140
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 140 include 140, 280, 420, 560, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 140 are the numbers that consist of the number pattern of 140.
- 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 140 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140 are the divisors of 140.
- Factor: A factor is a number that divides another number without leaving a remainder. Factors of 140 include 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.
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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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