# Multiples of 33

Created by: Team Maths - Examples.com, Last Updated: August 21, 2024

## Multiples of 33

Multiples of 33 are the numbers you get when you multiply 33 by an integer. These numbers are part of the broader category of multiples, where each multiple is the product of 33 and a whole number. Understanding multiples involves recognizing their relationship with factors and divisors; specifically, any multiple of 33 can be divided by 33 without leaving a remainder. By studying these multiples, we delve into important concepts in mathematics, such as multiplication and the properties of numbers.

## What are Multiples of 33?

Multiples of 33 are the numbers that result from multiplying 33 by any integer. Examples include 33, 66, 99, 132, and so on. These numbers follow the pattern 33n, where n is any integer.

Prime Factorization of 33: 3×11 First 10 Multiples of 33 are 33, 66, 99, 132, 165, 198, 231, 264, 297, 330.

Table of 33

## Important Notes

• Definition: A multiple of 33 is any number that can be expressed as 33×n, where n is an integer.
• Sequence: The sequence of multiples of 33 starts as 33, 66, 99, 132, 165, and continues with an increment of 33.
• Divisibility: A number is a multiple of 33 if and only if it is divisible by both 3 and 11, since 33 = 3×11.
• Common Multiples: Multiples of 33 are common multiples of 3 and 11. For example, 99 is a common multiple of both 3 and 11, hence it is also a multiple of 33.
• Applications: Multiples of 33 can be used in various mathematical problems, such as finding least common multiples, solving equations, and working with patterns in number theory.

## Examples on Multiples of 33

3×33 = 99
4×33 = 132
5×33 = 165

10×33 = 330
20×33 = 660
30×33 = 990

### Real-Life Examples

Time: A clock chime sounds every 99 minutes, which is a multiple of 33 because 33×3 = 99.
Money: A stack of 33 dollar bills is a multiple of 33 because 33×1 = 33.
Measurements: A chain with 132 links is a multiple of 33 because 33×4 = 132.

## Practical Examples of Multiples of 33

### What is the 15th multiple of 33?

The 15th multiple of 33 is 33×15 = 495.

### Is 462 a multiple of 33?

Yes, 462 is a multiple of 33 because 33×14 = 462.

### What is the next multiple of 33 after 264?

The next multiple of 33 after 264 is 264 + 33 = 297.

### Find the 25th multiple of 33.

The 25th multiple of 33 is 33×25 = 825.

### Is 100 a multiple of 33?

No, 100 is not a multiple of 33 because it cannot be expressed as 33×n where n is an integer.

## What is a multiple of 33?

A multiple of 33 is any number that can be expressed as 33 times an integer. For example, 33, 66, 99, etc.

## How do you determine if a number is a multiple of 33?

A number is a multiple of 33 if it can be divided by 33 without leaving a remainder.

## What are the first five multiples of 33?

The first five multiples of 33 are 33, 66, 99, 132, and 165.

## Is 132 a multiple of 33?

Yes, 132 is a multiple of 33 because 33 × 4 = 132.

## What is the 10th multiple of 33?

The 10th multiple of 33 is 33 × 10 = 330.

## Are all multiples of 33 also multiples of 11?

Yes, since 33 is a multiple of 11 (33 = 11 × 3), all multiples of 33 are also multiples of 11.

## Is 100 a multiple of 33?

No, 100 is not a multiple of 33 because it cannot be expressed as 33 times an integer.

## What is the smallest multiple of 33 greater than 200?

The smallest multiple of 33 greater than 200 is 231 (33 × 7 = 231).

## Can a multiple of 33 be odd?

Yes, multiples of 33 can be odd. For example, 33, 99, and 165 are all odd multiples of 33.

## What is the least common multiple (LCM) of 33 and 44?

The least common multiple of 33 and 44 is 132, as it is the smallest number that both 33 and 44 divide into without leaving a remainder.

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