123 LearnersLast updated on May 26th, 2025
Multiples of 70
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 70.
What are the Multiples of 70?
Now, let us learn more about multiples of 70. Multiples of 70 are the numbers you get when you multiply 70 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 70 can be denoted as 70 × 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 70 × 1 will give us 70 as the product. Multiples of 70 will be larger or equal to 70.
List of First 20 Multiples of 70
Multiples of 70 include the products of 70 and an integer. Multiples of 70 are divisible by 70 evenly. The first few multiples of 70 are given below:
| TABLE OF 70 (1-10) | |
|---|---|
|
70 x 1 = 70 |
70 x 6 = 420 |
|
70 x 2 = 140 |
70 x 7 = 490 |
|
70 x 3 = 210 |
70 x 8 = 560 |
|
70 x 4 = 280 |
70 x 9 = 630 |
|
70 x 5 = 350 |
70 x 10 = 700 |
| TABLE OF 70 (11-20) | |
|---|---|
|
70 x 11 = 770 |
70 x 16 = 1120 |
|
70 x 12 = 840 |
70 x 17 = 1190 |
|
70 x 13 = 910 |
70 x 18 = 1260 |
|
70 x 14 = 980 |
70 x 19 = 1330 |
|
70 x 15 = 1050 |
70 x 20 = 1400 |
Now, we know the first few multiples of 70. They are 0, 70, 140, 210, 280, 350, 420, 490, 560, 630, 700,...
Operations with Multiples of 70
Understanding the multiples of 70 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 70, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 70:
70, 140, 210, 280, and 350 are the first five multiples of 70. When multiplying 70 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
70 + 140 + 210 + 280 + 350 = 1050
When we add the first 5 multiples of 70, the answer will be 1050.
Subtraction of First 5 Multiples of 70:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 70, 140, 210, 280, and 350 are the first five multiples of 70. So, let us calculate it as given below:
70 - 140 = -70
-70 - 210 = -280
-280 - 280 = -560
-560 - 350 = -910
Hence, the result of subtracting the first 5 multiples of 70 is -910.
Average of First 5 Multiples of 70:
To calculate the average, we need to identify the sum of the first 5 multiples of 70, 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 70 is 1050.
70 + 140 + 210 + 280 + 350 = 1050
Next, divide the sum by 5:
1050 ÷ 5 = 210
210 is the average of the first 5 multiples of 70.
Product of First 5 Multiples of 70:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 70 include: 70, 140, 210, 280, and 350. Now, the product of these numbers is:
70 × 140 × 210 × 280 × 350 = 7,052,040,000
The product of the first 5 multiples of 70 is 7,052,040,000.
Division of First 5 Multiples of 70:
While we perform division, we get to know how many times 70 can fit into each of the given multiples. 70, 140, 210, 280, and 350 are the first 5 multiples of 70.
70 ÷ 70 = 1
140 ÷ 70 = 2
210 ÷ 70 = 3
280 ÷ 70 = 4
350 ÷ 70 = 5
The results of dividing the first 5 multiples of 70 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 70
While working with multiples of 70, 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 70. 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 70 refer to the products we get while multiplying 70 with other numbers. For example, multiples of 70 include 0, 70, 140, 210, 280, 350, 420, 490, 560, 630, 700….
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. When 70 is divided by these numbers, the remainder will be zero. These are the factors of 70, meaning that these numbers can divide 70 without any remainder.
Factors of 70:
70 ÷ 1 = 70
70 ÷ 2 = 35
70 ÷ 5 = 14
70 ÷ 7 = 10
70 ÷ 10 = 7
70 ÷ 14 = 5
70 ÷ 35 = 2
70 ÷ 70 = 1
Multiples of 70 Examples
Problem 1
Ellen is organizing a charity run. For every participant that joins, they pledge to raise $70 for the cause. If 10 participants join, how much money will they raise in total?
$700
Explanation
Each participant raises $70. To find the total amount of money raised, multiply the number of participants by the pledge amount.
Pledge per participant = $70
Number of participants = 10
70 × 10 = 700
They will raise $700 in total.
Problem 2
A factory produces 70 bicycles each day. If the factory operates for 5 days in a week, how many bicycles are produced in a week?
350 bicycles
Explanation
To find the total number of bicycles produced in a week, multiply the number of bicycles produced per day by the number of days the factory operates.
Bicycles per day = 70
Number of days = 5
70 × 5 = 350
The factory produces 350 bicycles in a week.
Problem 3
A school is planning a field trip and rents a bus that can seat 70 students. If the school has 3 classes with the same number of students, and each class fills exactly one bus, how many students are there in total?
210 students
Explanation
Each bus seats 70 students, and there are 3 classes each filling a bus.
Students per bus = 70
Number of classes = 3
70 × 3 = 210
There are 210 students in total.
Problem 4
A gardener is planting trees in rows. Each row contains 70 trees. If the gardener plants 4 rows, how many trees are there in total?
280 trees
Explanation
To find the total number of trees, multiply the number of rows by the number of trees in each row.
Trees per row = 70
Number of rows = 4
70 × 4 = 280
There are 280 trees in total.
Problem 5
In a book club, each member reads 70 pages per week. If there are 6 members in the book club, how many pages do they read collectively in a week?
420 pages
Explanation
Each member reads 70 pages per week. Multiply the number of members by the number of pages they read.
Pages per member per week = 70
Number of members = 6
70 × 6 = 420
The book club reads 420 pages collectively in a week.
FAQs on Multiples of 70
1.How do you find the multiples of 70?
2.What is the LCM of 7 and 70?
3.What are the real-life applications of Multiples of 70?
4.Are multiples of 70 finite or infinite?
5.Is there any odd multiples of 70?
6.How can poems help children in India memorize the Multiplication Table and Multiples of 70?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 70 challenges for kids in India?
8.How do language and cultural differences in India affect the way children learn the Multiplication Table and Multiples of 70?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 70 among early learners in India?
Important Glossaries for Multiples of 70
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 70 include 70, 140, 210, 280, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 70 are the numbers that consist of the number pattern of 70.
- 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 70 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 5, 7, 10, 14, 35, and 70 are the divisors of 70.
- LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For example, the LCM of 7 and 70 is 70.
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Seyed Ali Fathima S
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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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