# Multiples of 75

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

## Multiples of 75

Multiples of 75 are numbers expressed as 75ร๐, where ๐ is an integer. These multiples are not always even; they follow a pattern, increasing by 75 each time (e.g., 75, 150, 225, 300, 375). Multiples of 75 are crucial in mathematics, especially in algebraic concepts, squares, square roots, and fractions. They are fundamental for understanding number properties and performing various arithmetic operations efficiently. Recognizing these multiples aids in grasping complex mathematical ideas and solving algebraic equations. Multiples serve as essential building blocks in number theory, helping explore patterns, relationships, and the behavior of numbers within mathematical frameworks. This understanding is key to mastering more advanced mathematical concepts and applications.

## What are Multiples of 75?

Multiples of 75 are numbers that can be expressed as 75รn, where n is an integer. These numbers are always even and include values like 75 , 150, 225, 300, and so on.

Prime Factorization of 75 :3 x 5 x 5

First 10 Multiples of 75 are 75, 150, 225, 300, 375, 450, 525, 600, 675, 750.

First 50 Multiples of 50 are 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350, 1425, 1500, 1575, 1650, 1725, 1800, 1875, 1950, 2025, 2100, 2175, 2250, 2325, 2400, 2475, 2550, 2625, 2700, 2775, 2850, 2925, 3000, 3075, 3150, 3225, 3300, 3375, 3450, 3525, 3600, 3675, 3750.

Table of 75

## Important Notes

Even Numbers: All multiples of 75 are numbers that end in 00 or 75 (e.g., 75, 150, 225, 300).

Divisibility: A number is a multiple of 75 if it can be divided by 75 with no remainder.

Factors: Multiples of 75 have 75 as one of their factors.

Infinite Sequence: There are infinitely many multiples of 75, extending indefinitely as 75, 150, 225, 300, 375, and so on.

Arithmetic Pattern: The difference between consecutive multiples of 75 is always 75.

## Examples on Multiples of 75

Simple Multiples:

• 75: 75ร1=7575ร1=75
• 150: 75ร2=15075ร2=150
• 225: 75ร3=22575ร3=225

Larger Multiples:

• 750: 75ร10=75075ร10=750
• 1500: 75ร20=150075ร20=1500
• 2250: 75ร30=225075ร30=2250

## Real-Life Examples

Time: 4500 seconds in 75 minutes is a multiple of 75 because 75ร60=450075ร60=4500.

Money: \$75 is a multiple of 75 because 75ร1=7575ร1=75.

Measurements: 75 feet is a multiple of 75 because 75ร1=7575ร1=75.

## Practical Examples of Multiples of 75

1. Time: An hour and 15 minutes equals 75 minutes, which is 75ร1=7575ร1=75.
2. Money: A \$150 bill can be paid using two \$75 bills since 75ร2=15075ร2=150.
3. Distance: A 225-mile road trip can be divided into three segments of 75 miles each because 75ร3=22575ร3=225.
4. Weight: A shipment weighing 300 pounds can be split into four boxes of 75 pounds each, as 75ร4=30075ร4=300.
5. Class Size: If a school has 375 students and they are split into five classes, each class would have 75 students because 75ร5=37575ร5=375.

## Practical Applications

Counting by Seventy-Fives: When counting by seventy-fives (75, 150, 225, 300โฆ), you are listing the multiples of 75.

Multiples of 75: Any number that is a multiple of 75, such as 300 or 375, can be divided evenly by 75.

## Is 600 a multiple of 75?

Yes, 600 is a multiple of 75 because 75ร8=600

## Is 50 a multiple of 75?

No, 50 is not a multiple of 75 because it cannot be divided evenly by 75.

## What is the 10th multiple of 75?

The 10th multiple of 75 is 750.

## Are multiples of 75 also multiples of 5?

Yes, all multiples of 75 are also multiples of 5.

## Is 1125 a multiple of 75?

Yes, 1125 is a multiple of 75 because 75ร15=1125

## What is the next multiple of 75 after 375?

The next multiple of 75 after 375 is 450.

## Can multiples of 75 be negative?

Yes, multiples of 75 can be negative if ๐n is negative, such as -75, -150, and -225.

## Is 0 a multiple of 75?

Yes, 0 is a multiple of 75 because 75ร0=0

## What are the multiples of 75 between 300 and 600?

The multiples of 75 between 300 and 600 are 375, 450, and 525.

## Is 90 a multiple of 75?

No, 90 is not a multiple of 75 because it cannot be divided evenly by 75.

## How do multiples of 75 help in real life?

Multiples of 75 are useful in various applications such as time management, financial calculations, and measurements.

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