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Last updated on March 28th, 2025

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Multiples of 67

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Foundation
Intermediate
Advance Topics

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.

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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.

Multiples of 67

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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

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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.

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Common Mistakes and How to Avoid Them in Multiples of 67

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Multiples of 67 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 67

1.How do you find the multiples of 67?

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2.What is the LCM of 67 and 8?

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3.What are the real-life applications of Multiples of 67?

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4.Are multiples of 67 finite or infinite?

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5.Is there any odd multiples of 67?

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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

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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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