124 LearnersLast updated on May 26th, 2025
Multiples of 67
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 67.
What are the Multiples of 67?
Now, let us learn more about multiples of 67. Multiples of 67 are the numbers you get when you multiply 67 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 67 can be denoted as 67 × 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 67 × 1 will give us 67 as the product. Multiples of 67 will be larger or equal to 67.
List of First 20 Multiples of 67
Multiples of 67 include the products of 67 and an integer. Multiples of 67 are divisible by 67 evenly. The first few multiples of 67 are given below:
| TABLE OF 67 (1-10) | |
|---|---|
|
67 x 1 = 67 |
67 x 6 = 402 |
|
67 x 2 = 134 |
67 x 7 = 469 |
|
67 x 3 = 201 |
67 x 8 = 536 |
|
67 x 4 = 268 |
67 x 9 = 603 |
|
67 x 5 = 335 |
67 x 10 = 670 |
| TABLE OF 67 (11-20) | |
|---|---|
|
67 x 11 = 737 |
67 x 16 = 1072 |
|
67 x 12 = 804 |
67 x 17 = 1139 |
|
67 x 13 = 871 |
67 x 18 = 1206 |
|
67 x 14 = 938 |
67 x 19 = 1273 |
|
67 x 15 = 1005 |
67 x 20 = 1340 |
Operations with Multiples of 67
Understanding the multiples of 67 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 67, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 67:
67, 134, 201, 268, and 335 are the first five multiples of 67. When multiplying 67 from 1 to 5 we get these numbers as the products. So, the sum of these multiples is:
67 + 134 + 201 + 268 + 335 = 1005
When we add the first 5 multiples of 67, the answer will be 1005.
Subtraction of first 5 Multiples of 67:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 67, 134, 201, 268, and 335 are the first five multiples of 67. So, let us calculate it as given below:
67 - 134 = -67
-67 - 201 = -268
-268 - 268 = -536
-536 - 335 = -871
Hence, the result of subtracting the first 5 multiples of 67 is -871.
Average of first 5 Multiples of 67:
To calculate the average, we need to identify the sum of the first 5 multiples of 67, 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 67 is 1005.
67 + 134 + 201 + 268 + 335 = 1005
Next, divide the sum by 5:
1005 ÷ 5 = 201
201 is the average of the first 5 multiples of 67.
Product of First 5 Multiples of 67:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 67 include: 67, 134, 201, 268, and 335. Now, the product of these numbers is:
67 × 134 × 201 × 268 × 335 = 3,260,760,840
The product of the first 5 multiples of 67 is 3,260,760,840.
Division of First 5 Multiples of 67:
While we perform division, we get to know how many times 67 can fit into each of the given multiples. 67, 134, 201, 268, and 335 are the first 5 multiples of 67.
67 ÷ 67 = 1
134 ÷ 67 = 2
201 ÷ 67 = 3
268 ÷ 67 = 4
335 ÷ 67 = 5
The results of dividing the first 5 multiples of 67 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 67
While working with multiples of 67, 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 67. 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 67 refer to the products we get while multiplying 67 with other numbers. For example, multiples of 67 include 0, 67, 134, 201, 268, 335, 402, 469, 536, 603, 670….
The factors of 67 are 1 and 67, as 67 is a prime number.
Factors of 67:
67 ÷ 1 = 67
67 ÷ 67 = 1
Multiples of 67 Examples
Problem 1
A theater is hosting a series of drama workshops. Each workshop accommodates 67 participants. If the theater plans to hold 5 workshops in total, how many participants will attend the workshops altogether?
335 participants
Explanation
Each workshop can have 67 participants. To find the total number of participants for 5 workshops, multiply 67 by 5.
Participants per workshop = 67
Number of workshops = 5
67 × 5 = 335
Therefore, 335 participants will attend the workshops in total.
Problem 2
In a large orchard, trees are planted in rows. Each row contains 67 apple trees. If there are 3 rows, how many apple trees are there in total?
201 apple trees
Explanation
The number of apple trees per row is 67. To find the total number of apple trees, multiply 67 by the number of rows.
Trees per row = 67
Number of rows = 3
67 × 3 = 201
Hence, there are 201 apple trees in total in the orchard.
Problem 3
A library organizes its books into sections, with each section having 67 books. If there are 4 sections, how many books does the library have in these sections?
268 books
Explanation
Each section contains 67 books. To find the total number of books in the sections, multiply 67 by 4.
Books per section = 67
Number of sections = 4
67 × 4 = 268
Therefore, the library has 268 books in these sections.
Problem 4
During a science fair, students are grouped into teams. Each team has 67 members. If there are 2 teams, how many students are participating in the science fair?
134 students
Explanation
Each team consists of 67 members. To find the total number of students, multiply 67 by the number of teams.
Members per team = 67
Number of teams = 2
67 × 2 = 134
So, there are 134 students participating in the science fair.
Problem 5
In a sports league, each team plays 67 matches in a season. If there are 3 teams in the league, how many matches are played in total?
201 matches
Explanation
Each team plays 67 matches. To find the total number of matches played by all teams, multiply 67 by 3.
Matches per team = 67
Number of teams = 3
67 × 3 = 201
Therefore, a total of 201 matches are played in the league.
FAQs on Multiples of 67
1.How do you find the multiples of 67?
2.What is the LCM of 67 and 8?
3.What are the real-life applications of Multiples of 67?
4.Are multiples of 67 finite or infinite?
5.Is there any odd multiples of 67?
6.How can poems help children in Oman memorize the Multiplication Table and Multiples of 67?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 67 challenges for kids in Oman?
8.How do language and cultural differences in Oman affect the way children learn the Multiplication Table and Multiples of 67?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 67 among early learners in Oman?
Important Glossaries for Multiples of 67
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 67 include 67, 134, 201, 268, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 67 are the numbers that consist of the number pattern of 67.
- Odd number: An odd number refers to any number not divisible by 2 without leaving a remainder. All multiples of 67 are odd numbers when multiplied by odd integers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 67 are the divisors of 67.
- Prime number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. 67 is a prime number.
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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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