# Multiples of 72

Created by: Team Maths - Examples.com, Last Updated: May 28, 2024

## Multiples of 72

Multiples of 72 are numbers that can be expressed as 72 times an integer. These numbers are also known as even numbers. Starting from 72, they follow a consistent pattern, increasing by 72 each time (e.g., 72, 144, 216, 288, 360, etc.). Multiples of 72 are fundamental in arithmetic and number theory, helping to understand even and odd numbers and forming the basis for more complex mathematical concepts. Recognizing and working with multiples of 72 is essential for performing various arithmetic operations efficiently.

## What are Multiples of 72?

Multiples of 72 are numbers that can be expressed as 72×n, where n is an integer. These numbers are always even and include values like 72, 144, 216, 288, and so on.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3.

First 10 Multiples of 72 are 72, 144, 216, 288, 360, 432, 504, 576, 648, 720

First 50 Multiples of 72 are 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944, 2016, 2088, 2160, 2232, 2304, 2376, 2448, 2520, 2592, 2664, 2736, 2808, 2880, 2952, 3024, 3096, 3168, 3240, 3312, 3384, 3456, 3528

Table of 72

## Important Notes

• Even Numbers: All multiples of 72 are even numbers, meaning they end in 0, 2, 4, 6, or 8.
• Divisibility: A number is a multiple of 72 if it can be divided by 72 with no remainder.
• Factors: Multiples of 72 have 72 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 72, extending indefinitely as 72, 144, 216, 288, 360, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 72 is always 72.

## Examples on Multiples of 72

Simple Multiples

• 72: 72 × 1 = 72
• 144: 72 × 2 = 144
• 216: 72 × 3 = 216

Larger Multiples

• 720: 72 × 10 = 720
• 1440: 72 × 20 = 1440
• 2160: 72 × 30 = 2160

## Real-Life Examples

Time: 4320 seconds in 72 minutes is a multiple of 72 because 72 × 60 = 4320.

Money: \$7.20 (720 cents) is a multiple of 72 because 72 × 10 = 720.

Measurements: 2592 inches in 72 yards is a multiple of 72 because 72 × 36 = 2592.

## Practical Examples of Multiples of 72

1. Event Planning: If you need to arrange chairs in rows with 72 chairs each, you can quickly calculate the total number of chairs by multiplying 72 by the number of rows.
2. Construction: When laying tiles, if each tile covers an area of 72 square inches, you can determine the total coverage by multiplying 72 by the number of tiles used.
3. Time Management: Scheduling events in 72-minute intervals ensures even distribution throughout the day, allowing for precise planning and coordination.
4. Finance: If you save \$72 each week, you can easily calculate your total savings over a period by multiplying 72 by the number of weeks.
5. Education: In a classroom setting, dividing students into groups of 72 can help manage large classes effectively and ensure equal group sizes.

## Practical Applications

Counting by Seventy-Twos: When counting by seventy-twos (72, 144, 216, 288…), you are listing the multiples of 72.

Even Numbers: Any number that is a multiple of 72, such as 144 or 216, can be divided evenly by 72.

## What are the multiples of 72 up to 1000?

The multiples of 72 up to 1000 are 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936.

## Is 900 a multiple of 72?

Yes, because 900 ÷ 72 = 12.5, which is not an integer.

## How many multiples of 72 are there between 1 and 1000?

There are 13 multiples of 72 between 1 and 1000.

## Is 500 a multiple of 72?

No, because 500 ÷ 72 does not result in an integer.

## Can a multiple of 72 be odd?

No, because all multiples of an even number are even.

## What is the least common multiple (LCM) of 72 and 120?

The LCM of 72 and 120 is 360.

## Are all multiples of 72 divisible by 9?

Yes, because 72 is divisible by 9, so all its multiples are also divisible by 9.

## Is 288 a multiple of 72?

Yes, because 288 ÷ 72 = 4, an integer.

## What is the greatest multiple of 72 under 1000?

The greatest multiple of 72 under 1000 is 936.

## Is 50 a multiple of 72?

No, because 50 ÷ 72 does not result in an integer.

## How do multiples of 72 relate to factors?

Multiples of 72 have 72 as one of their factors.

Text prompt