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Last updated on March 29th, 2025

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Multiples of 33

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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 33.

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What are the Multiples of 33?

Now, let us learn more about multiples of 33. Multiples of 33 are the numbers you get when you multiply 33 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 33 can be denoted as 33 × 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 33 × 1 will give us 33 as the product. Multiples of 33 will be larger or equal to 33.Multiples of 33

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List of First 20 Multiples of 33

Multiples of 33 include the products of 33 and an integer. Multiples of 33 are divisible by 33 evenly. The first few multiples of 33 are given below:

 

TABLE OF 33 (1-10)

33 x 1 = 33

33 x 6 = 198

33 x 2 = 66

33 x 7 = 231

33 x 3 = 99

33 x 8 = 264

33 x 4 = 132

33 x 9 = 297

33 x 5 = 165

33 x 10 = 330

 

TABLE OF 33 (11-20)

33 x 11 = 363

33 x 16 = 528

33 x 12 = 396

33 x 17 = 561

33 x 13 = 429

33 x 18 = 594

33 x 14 = 462

33 x 19 = 627

33 x 15 = 495

33 x 20 = 660

 

Now, we know the first few multiples of 33. They are 0, 33, 66, 99, 132, 165, 198, 231, 264, 297, 330,...

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Operations with Multiples of 33

Understanding the multiples of 33 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 33, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 33:

 

33, 66, 99, 132, and 165 are the first five multiples of 33. When multiplying 33 from 1 to 5, we get these numbers as the products.

 

So, the sum of these multiples is:

 

33 + 66 + 99 + 132 + 165 = 495

 

When we add the first 5 multiples of 33, the answer will be 495.

 

Subtraction of first 5 Multiples of 33:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 33, 66, 99, 132, and 165 are the first five multiples of 33. So, let us calculate it as given below:

 

33 - 66 = -33  
-33 - 99 = -132  
-132 - 132 = -264  
-264 - 165 = -429  

 

Hence, the result of subtracting the first 5 multiples of 33 is -429.

 

Average of first 5 Multiples of 33:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 33, and then divide it by the count, i.e., 5. Because there are 5 multiples present 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 33 is 495.

 

33 + 66 + 99 + 132 + 165 = 495

 

Next, divide the sum by 5:

 

495 ÷ 5 = 99

 

99 is the average of the first 5 multiples of 33.

 

Product of First 5 Multiples of 33:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 33 include: 33, 66, 99, 132, and 165. Now, the product of these numbers is:

 

33 × 66 × 99 × 132 × 165 = 23,241,369,600

 

The product of the first 5 multiples of 33 is 23,241,369,600.

 

Division of First 5 Multiples of 33:

 

While we perform division, we get to know how many times 33 can fit into each of the given multiples. 33, 66, 99, 132, and 165 are the first 5 multiples of 33.

 

33 ÷ 33 = 1  
66 ÷ 33 = 2  
99 ÷ 33 = 3  
132 ÷ 33 = 4  
165 ÷ 33 = 5  

 

The results of dividing the first 5 multiples of 33 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 33

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Multiples of 33 Examples

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Problem 1

Emily runs a small art studio and teaches painting classes. Each class consists of 33 students. If she conducts 5 classes in a week, how many students does she teach in a week?

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Explanation

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Problem 2

In a community garden, a group of volunteers plants trees according to the first three multiples of 33. How many trees does each volunteer plant?

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Explanation

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Problem 3

A factory produces toy cars in batches. Each batch contains 33 toy cars. If the factory produces 12 batches in a day, how many toy cars are produced daily?

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Explanation

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Problem 4

Liam is organizing a charity event and needs to set up chairs in rows. Each row has 33 chairs. If there are 7 rows, how many chairs are set up in total?

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Explanation

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Problem 5

Sophia is decorating a large hall for a wedding. She uses 33 balloons for each decoration cluster. If she makes 10 clusters, how many balloons does she use?

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Explanation

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FAQs on Multiples of 33

1.How do you find the multiples of 33?

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2.What are the real-life applications of Multiples of 33?

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3.Are multiples of 33 finite or infinite?

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4.Is there any odd multiples of 33?

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Important Glossaries for Multiples of 33

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 33 include 33, 66, 99, 132, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 33 are the numbers that consist of the number pattern of 33.
     
  • Odd number: An odd number refers to any number that cannot be evenly divided by 2. All multiples of 33 that result from multiplying by an odd number are odd numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 11, and 33 are the divisors of 33.
     
  • Product: The result of multiplying two or more numbers together. For example, 33 × 2 = 66 is the product of multiplying 33 and 2.
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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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