# Multiples of 74

Created by: Team Maths - Examples.com, Last Updated: August 2, 2024

## Multiples of 74

Multiples of 74 are numbers that can be expressed as 74 times an integer (n). These multiples increase by 74 each time (e.g., 74, 148, 222, 296, 370). Multiples of 74 are essential in mathematics, particularly in algebra, squares, square roots, and fractions. They help in understanding number properties and performing arithmetic operations efficiently. Recognizing these multiples aids in grasping complex mathematical concepts and solving algebraic equations. Multiples play a crucial role in number theory, helping explore patterns, relationships, and the behavior of numbers within mathematical frameworks. Understanding multiples of 74 is fundamental for learning more advanced mathematical ideas and enhancing problem-solving skills in various arithmetic contexts.

## What are Multiples of 74?

Multiples of 74 are numbers that can be expressed as 74×n, where n is an integer. These numbers are always even and include values like 74, 148, 222, 296, and so on.

Prime Factorization of 74: 2 x 37

First 10 Multiples of 74 are 74, 148, 222, 296, 370, 444, 518, 592, 666, 740

First 50 Multiples of 74 are 74, 148, 222, 296, 370, 444, 518, 592, 666, 740, 814, 888, 962, 1036, 1110, 1184, 1258, 1332, 1406, 1480, 1554, 1628, 1702, 1776, 1850, 1924, 1998, 2072, 2146, 2220, 2294, 2368, 2442, 2516, 2590, 2664, 2738, 2812, 2886, 2960, 3034, 3108, 3182, 3256, 3330, 3404, 3478, 3552, 3626, 3700.

Table of 74

## Important Notes

• Even Numbers: All multiples of 74 are even numbers, meaning they end in 0, 2, 4, 6, or 8.
• Divisibility: A number is a multiple of 74 if it can be divided by 74 with no remainder.
• Factors: Multiples of 74 have 74 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 74, extending indefinitely as 74, 148, 222, 296, 370, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 74 is always 74.

## Examples on Multiples of 74

### Simple Multiples

• 74: 74 x 1 = 74
• 148: 74 x 2 = 148
• 222: 74 x 3 = 222

### Larger Multiples

• 370: 74 x 5 = 370
• 740: 74 x 10 = 740
• 1480: 74 x 20 = 1480

## Real-Life Examples

• Time: 4440 seconds in 74 minutes is a multiple of 74 because 74 x 60 = 4440.
• Money: \$148 is a multiple of 74 because 74 x 2 = 148.
• Measurements: 592 inches is a multiple of 74 because 74 x 8 = 592.

## Practical Examples of Multiples of 74

1. Time Management: Suppose you need to schedule breaks during a 6-hour work shift. Since 6 hours equals 360 minutes, and 360 is a multiple of 74 x 4.86, you can plan breaks at 74-minute intervals to evenly distribute rest periods throughout the shift.
2. Budgeting: If you have \$740 to spend on supplies, and each supply costs \$74, you can purchase 10 supplies because \$740 ÷ \$74 = 10.
3. Measurement Conversion: When converting a long distance in inches to a manageable unit, if you have 1480 inches, you can note that this is a multiple of 74 (74 x 20), helping to break down and measure large distances more easily.
4. Event Planning: For an event with 296 guests, you need to divide them into groups. Since 296 is a multiple of 74 (74 x 4), you can organize the guests into 4 equal groups of 74 for activities or seating.
5. Packaging: If a factory produces 592 items, and each box holds 74 items, you can determine that 8 boxes are needed because 592 ÷ 74 = 8.

## Practical Applications

• Counting by Seventy-Fours: When counting by seventy-fours (74, 148, 222, 296…), you are listing the multiples of 74.
• Even Numbers: Any multiple of 74, such as 148 or 222, is a multiple of 74 because it can be divided evenly by 74.

## What is the greatest multiple of 74 less than 1000?

The greatest multiple of 74 less than 1000 is 962, calculated as 74 x 13.

## How do multiples of 74 relate to the factors of a number?

Multiples of 74 have 74 as one of their factors.

## Are multiples of 74 divisible by other numbers?

Yes, multiples of 74 are divisible by 1, 2, 37, and 74, among other factors.

## Is 555 a multiple of 74?

No, 555 is not a multiple of 74 because 555 ÷ 74 does not result in an integer.

## Can negative numbers be multiples of 74?

Yes, negative numbers can be multiples of 74, such as -74, -148, and -222.

## What is the sum of the first 10 multiples of 74?

The sum of the first 10 multiples of 74 is 4070, calculated as 74 x (1+2+3+…+10).

## How can multiples of 74 be used in real life?

Multiples of 74 can be used in time management, budgeting, measurements, and event planning.

## Is 1480 a multiple of 74?

Yes, 1480 is a multiple of 74 because 1480 = 74 x 20.

## What pattern do multiples of 74 follow?

Multiples of 74 follow an arithmetic pattern, increasing by 74 each time.

## How do you check if a number is a multiple of 74?

To check if a number is a multiple of 74, divide it by 74. If the result is an integer, the number is a multiple of 74.

## What are the first 3 multiples of 74?

The first 3 multiples of 74 are 74, 148, and 222.

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