# Multiples of 36

Created by: Team Maths - Examples.com, Last Updated: May 27, 2024

## Multiples of 36

Understanding multiples of 36 involves recognizing how this integer interacts with other numbers through multiplication. Multiples of 36 are numbers that can be expressed as 36 times another whole number. In mathematics, these multiples can also be viewed as the result of multiplying 36 by integers such as 1, 2, 3, and so forth. These values are closely related to the divisors and factors of 36, as any multiple of 36 will inherently share common factors with 36. This concept is essential for exploring broader mathematical principles involving multiples and their applications.

## What are Multiples of 36?

Multiples of 36 are the products obtained by multiplying 36 by any integer. Examples include 36, 72, 108, 144, and so on. These numbers follow the pattern 36n, where n is any integer.

Prime Factorization of 36: 2 × 2 × 3 × 3 First 10 Multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.

Table of 36

## Important Notes

Definition: A multiple of 36 is any number that can be expressed as 36 times an integer. For example, 36, 72, 108, etc.

Even Number: Since 36 is an even number, all its multiples are also even numbers.

Divisibility Rules: A number is a multiple of 36 if it is divisible by both 4 and 9, as 36 = 4 × 9. This means the number must pass both the divisibility rules for 4 (last two digits form a number divisible by 4) and 9 (sum of the digits is divisible by 9).

Prime Factorization: The prime factorization of 36 is 2² × 3². Therefore, any multiple of 36 will have at least these prime factors raised to at least these powers.

Common Multiples: To find common multiples of 36 with another number, find the least common multiple (LCM) of 36 and the other number. The LCM is the smallest number that is a multiple of both.

## Examples on Multiples of 36

Here are five examples of multiples of 36, presented in a similar structure:

• 1×36 = 36
• 2×36 = 72
• 3×36 = 108

• 10×36 = 360
• 20×36 = 720

### Real-Life Examples of Multiples of 36

• Area Calculation: An area of 144 square meters is a multiple of 36 because 4×36 = 144.
• Storage Capacity: A data storage of 360 GB is a multiple of 36 because 10×36 = 360.
• Inventory: A stock of 720 items is a multiple of 36 because 20×36 = 720.

## Practical Examples of Multiples of 36

### What is the 5th multiple of 36?

The 5th multiple of 36 is 5×36 = 180.

### Is 432 a multiple of 36?

Yes, 432 is a multiple of 36 because 36×12 = 432.

### What is the next multiple of 36 after 360?

The next multiple of 36 after 360 is 360+36 = 396.

### Find the 15th multiple of 36.

The 15th multiple of 36 is 15×36 = 540.

### Is 725 a multiple of 36?

No, 725 is not a multiple of 36 because it cannot be expressed as 36×n.

## What is a multiple of 36?

A multiple of 36 is any number that can be expressed as 36 times an integer. For example, 36, 72, 108, and so on.

## How can you determine if a number is a multiple of 36?

A number is a multiple of 36 if it is divisible by both 4 and 9. This is because 36 = 4 × 9.

## What are the first five multiples of 36?

The first five multiples of 36 are 36, 72, 108, 144, and 180.

## Is 180 a multiple of 36?

Yes, 180 is a multiple of 36 because 36 × 5 = 180.

## How can multiples of 36 be useful in real-life scenarios?

Multiples of 36 can be useful in scenarios such as calculating area, dividing items into equal groups, and working with data storage sizes.

## What is the prime factorization of 36 and why is it important for its multiples?

The prime factorization of 36 is 2² × 3². This means that any multiple of 36 will have at least these prime factors raised to at least these powers.

## Is 400 a multiple of 36?

No, 400 is not a multiple of 36 because it does not meet the divisibility rules for both 4 and 9.

## What is the least common multiple (LCM) of 36 and 60?

The LCM of 36 and 60 is 180. This is the smallest number that is a multiple of both 36 and 60.

## How do you find the 10th multiple of 36?

To find the 10th multiple of 36, multiply 36 by 10. So, 36 × 10 = 360.

## Can a prime number be a multiple of 36?

No, a prime number cannot be a multiple of 36 because a prime number has exactly two distinct positive divisors: 1 and itself, while 36 has more divisors and is not prime.

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