# Multiples of 73

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

## Multiples of 73

Multiples of 73 are numbers that can be expressed as 73 times an integer. Starting from 73, they follow a consistent pattern, increasing by 73 each time (e.g., 73, 146, 219, 292, 365, etc.). Multiples of 73 are fundamental in arithmetic and number theory, aiding in the understanding of numerical patterns and forming the basis for more complex mathematical concepts. Recognizing and working with multiples of 73 is essential for performing various arithmetic operations efficiently.

## What are Multiples of 73?

Multiples of 73 are numbers that can be expressed as 73×n, where n is an integer. These numbers are always even and include values like 73, 146, 219, 292, and so on.

Prime Factorization of 73: 1×73

First 10 Multiples of 73 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730

First 50 Multiples of 73 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730, 803, 876, 949, 1022, 1095, 1168, 1241, 1314, 1387, 1460, 1533, 1606, 1679, 1752, 1825, 1898, 1971, 2044, 2117, 2190, 2263, 2336, 2409, 2482, 2555, 2628, 2701, 2774, 2847, 2920, 2993, 3066, 3139, 3212, 3285, 3358, 3431, 3504, 3577

Table of 73

## Important Notes

Even Numbers: All multiples of 73 are numbers that can be divided by 73 without a remainder.

Divisibility: A number is a multiple of 73 if it can be divided by 73 with no remainder.

Factors: Multiples of 73 have 73 as one of their factors.

Infinite Sequence: There are infinitely many multiples of 73, extending indefinitely as 73, 146, 219, 292, 365, and so on.

Arithmetic Pattern: The difference between consecutive multiples of 73 is always 73.

## Examples on Multiples of 73

Simple Multiples

• 73: 73 × 1 = 73
• 146: 73 × 2 = 146
• 219: 73 × 3 = 219

Larger Multiples

• 730: 73 × 10 = 730
• 1460: 73 × 20 = 1460
• 2190: 73 × 30 = 2190

## Real-Life Examples

• Time: 5256 seconds in 73 minutes is a multiple of 73 because 73 × 72 = 5256.
• Money: \$73 (7300 cents) is a multiple of 73 because 73 × 100 = 7300.
• Measurements: 2628 inches in 73 yards is a multiple of 73 because 73 × 36 = 2628.

## Practical Examples of Multiples of 73

1. Event Planning: If you need to arrange chairs in rows with 73 chairs each, you can calculate the total number of chairs by multiplying 73 by the number of rows.
2. Construction: When laying bricks, if each pallet contains 73 bricks, you can determine the total number of bricks by multiplying 73 by the number of pallets used.
3. Time Management: Scheduling tasks in 73-minute intervals can help create a balanced and organized schedule throughout the day.
4. Finance: If you save \$73 each week, you can easily calculate your total savings over a period by multiplying 73 by the number of weeks.
5. Education: Dividing students into groups of 73 can help manage large classes effectively, ensuring equal group sizes for projects and activities.

## Practical Applications

Counting by Seventy-Threes: When counting by seventy-threes (73, 146, 219, 292…), you are listing the multiples of 73.

Divisibility: Any number that is a multiple of 73, such as 146 or 219, can be divided evenly by 73.

## What are the multiples of 73 up to 1000?

The multiples of 73 up to 1000 are 73, 146, 219, 292, 365, 438, 511, 584, 657, 730, 803, 876, 949.

## Is 1000 a multiple of 73?

No, because 1000 ÷ 73 does not result in an integer.

## How many multiples of 73 are there between 1 and 1000?

There are 13 multiples of 73 between 1 and 1000.

## Is 500 a multiple of 73?

No, because 500 ÷ 73 does not result in an integer.

## Can a multiple of 73 be odd?

Yes, because 73 itself is an odd number.

## What is the least common multiple (LCM) of 73 and 100?

The LCM of 73 and 100 is 7300.

## Are all multiples of 73 divisible by 9?

No, not all multiples of 73 are divisible by 9.

## Is 292 a multiple of 73?

Yes, because 292 ÷ 73 = 4, an integer.

## What is the greatest multiple of 73 under 1000?

The greatest multiple of 73 under 1000 is 949.

## Is 50 a multiple of 73?

No, because 50 ÷ 73 does not result in an integer.

## How do multiples of 73 relate to factors?

Multiples of 73 have 73 as one of their factors.

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